Chaos, Solitons & Fractals

2002 - 2025

Current editor(s): Stefano Boccaletti and Stelios Bekiros

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2009, volume 41, articles 5

Clustering and diffusion in a symplectic map lattice with non-local coupling pp. 2201-2215

C.F. Woellner, S.R. Lopes, R.L. Viana and I.L. Caldas

Cryptographic pseudo-random sequence from the spatial chaotic map pp. 2216-2219

Fuyan Sun and Shutang Liu

Bursting synchronization in scale-free networks pp. 2220-2225

C.A.S. Batista, A.M. Batista, J.C.A. de Pontes, S.R. Lopes and R.L. Viana

The properties of a class of biorthogonal vector-valued nonseparable bivariate wavelet packets pp. 2226-2233

Jianfeng Zhou and Deyao Song

The asymptotic average-shadowing property and transitivity for flows pp. 2234-2240

Rongbao Gu

Two explicit realizations of a Lie algebra pp. 2241-2245

Yufeng Zhang and Honwah Tam

The bootstrap and Bayesian bootstrap method in assessing bioequivalence pp. 2246-2249

Wan Jianping, Zhang Kongsheng and Chen Hui

Occurrence and underlying mechanism of multi-stripe chaotic attractors pp. 2250-2258

Jianxin Wu, Yiguang Hong and Guanrong Chen

Deriving the curvature of fractal-Cantorian spacetime from first principles pp. 2259-2261

M.S. El Naschie

Fractional dynamics, fractional weak bosons masses and physics beyond the standard model pp. 2262-2270

EL-Nabulsi Ahmad Rami

A one-parameter model for the spread of Avian Influenza A/H5N1 pp. 2271-2276

Hans-Justus Eifert, Sascha Held and Joachim A. Messer

Two-dimensional differential transform method for solving linear and non-linear Schrödinger equations pp. 2277-2281

A.S.V. Ravi Kanth and K. Aruna

The crystallographic space groups and Heterotic string theory pp. 2282-2284

M.S. El Naschie

Transition in complex calcium bursting induced by IP3 degradation pp. 2285-2290

Feng Zhang, Qishao Lu and Jianzhong Su

A new test for E-infinity fractal-spacetime theory pp. 2291-2292

Otto E. Rossler

Global asymptotical synchronization of chaotic neural networks by output feedback impulsive control: An LMI approach pp. 2293-2300

Jun Guo Lu and Guanrong Chen

A Clifford–Finslerian physical unification and fractal dynamics pp. 2301-2305

Fred Y. Ye

Quantum-inspired resonance for associative memory pp. 2306-2312

Michail Zak

A basic problem in the correlations between statistics and thermodynamics pp. 2313-2318

Congjie Ou, Zhifu Huang, Jincan Chen, A. El Kaabouchi, L. Nivanen, A. Le Méhauté and Qiuping A. Wang

Stability of a delayed SIRS epidemic model with a nonlinear incidence rate pp. 2319-2325

Rui Xu and Zhien Ma

Exp-function method for constructing exact solutions of Sharma–Tasso–Olver equation pp. 2326-2330

Barış Erbaş and Elçin Yusufoğlu

Multifractal structure in Latin-American market indices pp. 2331-2340

Luciano Zunino, Alejandra Figliola, Benjamin Tabak, Darío G. Pérez, Mario Garavaglia and Osvaldo A. Rosso

Complex dynamics in a linear impulsive system pp. 2341-2353

Guirong Jiang and Qigui Yang

Short chaotic strings and their behaviour in the scaling region pp. 2354-2359

Stefan Groote and Hardi Veermäe

Nonlinear dynamics and circuit implementation for a new Lorenz-like attractor pp. 2360-2370

Xian-Feng Li, Yan-Dong Chu, Jian-Gang Zhang and Ying-Xiang Chang

Generalization on the chaos control of 4-D chaotic systems using recursive backstepping nonlinear controller pp. 2371-2376

A.N. Njah and O.D. Sunday

Investigating the scale effects in strength of fractured rock mass pp. 2377-2386

Feng Zengchao, Zhao Yangsheng and Zhao Dong

Novel stability criteria for uncertain delayed Cohen–Grossberg neural networks using discretized Lyapunov functional pp. 2387-2393

Fernando O. Souza, Reinaldo M. Palhares and Petr Ya. Ekel

Derivation of the Euler characteristic and the curvature of Cantorian-fractal spacetime using Nash Euclidean embedding and the universal Menger sponge pp. 2394-2398

M.S. El Naschie

A note on the L-fuzzy Banach’s contraction principle pp. 2399-2400

J. Martínez-Moreno, A. Roldán and C. Roldán

Forecasting chaotic systems: The role of local Lyapunov exponents pp. 2401-2404

Dominique Guégan and Justin Leroux

Neimark–Sacker bifurcation for the discrete-delay Kaldor–Kalecki model pp. 2405-2413

Loretti Dobrescu and Dumitru Opris

Statistical convergence of double sequences in intuitionistic fuzzy normed spaces pp. 2414-2421

M. Mursaleen and S.A. Mohiuddine

The presentation of explicit analytical solutions of a class of nonlinear evolution equations pp. 2422-2428

Feng Jin-Shun, Guo Ming-Pu and Yuan Deyou

Dynamics of an impulsive control system which prey species share a common predator pp. 2429-2436

Pei Yongzhen, Yang Yong and Li Changguo

Contraction theory based adaptive synchronization of chaotic systems pp. 2437-2447

B.B. Sharma and I.N. Kar

Observer-based adaptive control of chaos in nonlinear discrete-time systems using time-delayed state feedback pp. 2448-2455

Amin Yazdanpanah Goharrizi, Ali Khaki-Sedigh and Nariman Sepehri

A non-equilibrium phase transition in a dissipative forest model pp. 2456-2462

Joachim A. Messer

Dynamical models of the human eye and strabismus pp. 2463-2470

P. Pascolo, R. Carniel and S. Grimaz

A Feynman path integral-like method for deriving the four dimensionality of spacetime from first principles pp. 2471-2473

L. Marek-Crnjac

Fractal analysis of time series in oil and gas production pp. 2474-2483

Arif A. Suleymanov, Askar A. Abbasov and Aydin J. Ismaylov

A characteristic description of orthonormal wavelet on subspace LE2(R) of L2(R) pp. 2484-2490

Xiuge Zhu and Guochang Wu

Hopf bifurcation of a free boundary problem modeling tumor growth with two time delays pp. 2491-2494

Shihe Xu

Synchronization conditions for chaotic nonlinear continuous neural networks pp. 2495-2501

Jiming Hu

On the Fibonacci origin of the internal symmetries of super strings and 5-Brane in 11 dimensions pp. 2502-2504

A. Elokaby

Oligopoly and stability pp. 2505-2516

T. Puu and A. Panchuk

The generalized relations among the code elements for Fibonacci coding theory pp. 2517-2525

Manjusri Basu and Bandhu Prasad

An improved harmony search algorithm for synchronization of discrete-time chaotic systems pp. 2526-2532

Leandro dos Santos Coelho and Diego Luis de Andrade Bernert

Nonlinear science as a fluctuating research frontier pp. 2533-2537

Ji-Huan He

On the connection between the order of the fractional derivative and the Hausdorff dimension of a fractal function pp. 2538-2545

K. Yao, Y.S. Liang and F. Zhang

Global attractors for semilinear damped wave equations with critical exponent on Rn pp. 2546-2552

Haibin Xiao

An analysis of heart rhythm dynamics using a three-coupled oscillator model pp. 2553-2565

Sandra R.F.S.M. Gois and Marcelo A. Savi

One-way hash function construction based on chaotic map network pp. 2566-2574

Huaqian Yang, Kwok-Wo Wong, Xiaofeng Liao, Yong Wang and Degang Yang

Master–slave synchronization of Lorenz systems using a single controller pp. 2575-2580

Servilia Oancea, Florin Grosu, Anca Lazar and Ioan Grosu

Homotopy perturbation method for nonlinear oscillator equations pp. 2581-2583

Xu-Chu Cai and Wen-Ying Wu

Complete synchronization on multi-layer center dynamical networks pp. 2584-2591

Meng Liu, Yingying Shao and Xinchu Fu

Confinement and asymptotic freedom seen with a golden eye pp. 2592-2594

A. Elokaby

Chaos in a generalized Lorenz system pp. 2595-2605

E.D. Belokolos, V.O. Kharchenko and D.O. Kharchenko

Some fixed point theorems in fuzzy reflexive Banach spaces pp. 2606-2612

I. Sadeqi and F. Solaty kia

Cryptanalysis of an image encryption scheme based on a new total shuffling algorithm pp. 2613-2616

David Arroyo, Chengqing Li, Shujun Li, Gonzalo Alvarez and Wolfgang A. Halang

The dynamic complexity of a host–parasitoid model with a Beddington–DeAngelis functional response pp. 2617-2623

Songjuan Lv and Zhongmiao Fang

Output-feedback synchronization of chaotic systems based on sum-of-squares approach pp. 2624-2629

H.K. Lam

Projective lag synchronization in chaotic systems pp. 2630-2634

Guo-Hui Li

The theory of Cantorian spacetime and high energy particle physics (an informal review) pp. 2635-2646

M.S. El Naschie

Liapunov’s time of a tubular chemical reactor with mass recycle pp. 2647-2651

M. Berezowski

An efficient diffusion approach for chaos-based image encryption pp. 2652-2663

Kwok-Wo Wong, Bernie Sin-Hung Kwok and Ching-Hung Yuen

Geometric coupling effects on the bifurcations of a flexible rotor response in active magnetic bearings pp. 2664-2671

Jawaid I. Inayat-Hussain

Simple robust technique using time delay estimation for the control and synchronization of Lorenz systems pp. 2672-2680

Maolin Jin and Pyung Hun Chang

Linear combination rule in genetic algorithm for optimization of finite impulse response neural network to predict natural chaotic time series pp. 2681-2689

Hossein Mirzaee

The ω-limit sets of a flow and periodic orbits pp. 2690-2696

Xiaoxia Wang, Denis Blackmore and Chengwen Wang

A short history of fractal-Cantorian space-time pp. 2697-2705

L. Marek-Crnjac

Impulsive control and synchronization of chaotic Hindmarsh–Rose models for neuronal activity pp. 2706-2715

Quanjun Wu, Jin Zhou, Lan Xiang and Zengrong Liu

Robust adaptive neural network synchronization controller design for a class of time delay uncertain chaotic systems pp. 2716-2724

Mou Chen and Wen-hua Chen

On zero-dimensional points curvature in the dynamics of Cantorian-fractal spacetime setting and high energy particle physics pp. 2725-2732

M.S. El Naschie

Chaos synchronization of the fractional-order Chen’s system pp. 2733-2740

Hao Zhu, Shangbo Zhou and Zhongshi He

Hopf bifurcation in doubly fed induction generator under vector control pp. 2741-2749

Lihui Yang, Xikui Ma and Dong Dai

Application of a semi-direct sum of Lie algebras to the TD hierarchy pp. 2750-2755

Fucai You and Tiecheng Xia

A computer-assisted proof for the existence of horseshoe in a novel chaotic system pp. 2756-2761

Wen-Juan Wu, Zeng-Qiang Chen and Zhu-Zhi Yuan

Identification of the Hénon chaotic map by fuzzy modeling and Nelder–Mead simplex method pp. 2762-2772

Leandro dos Santos Coelho and Ernesto Araujo

Spin-transfer torque induced reversal in magnetic domains pp. 2773-2781

S. Murugesh and M. Lakshmanan

Scaling laws and fractality in the framework of a phenomenological approach pp. 2782-2786

Pier Paolo Delsanto, Antonio S. Gliozzi, Caterina L.E. Bruno, Nicola Pugno and Alberto Carpinteri

Arguments for the compactness and multiple connectivity of our cosmic spacetime pp. 2787-2789

M.S. El Naschie

Fractal fluctuations and quantum-like chaos in the brain by analysis of variability of brain waves: A new method based on a fractal variance function and random matrix theory: A link with El Naschie fractal Cantorian space–time and V. Weiss and H. Weiss golden ratio in brain pp. 2790-2800

Elio Conte, Andrei Khrennikov, Antonio Federici and Joseph P. Zbilut

A consequence of a proof of the one-way function existence for the problem of macroscopic superpositions pp. 2801-2805

Arkady Bolotin

Multifractal detrended fluctuation analysis of analog random multiplicative processes pp. 2806-2811

L.B.M. Silva, M.V.D. Vermelho, M.L. Lyra and G.M. Viswanathan

Dynamics of a three-species food chain model with adaptive traits pp. 2812-2819

Chengjun Sun and Michel Loreau

Polynomial Fibonacci–Hessenberg matrices pp. 2820-2827

Morteza Esmaeili and Mostafa Esmaeili

Polarized Hessian covariant: Contribution to pattern formation in the Föppl–von Kármán shell equations pp. 2828-2837

Partha Guha and Patrick Shipman

Reasons why the current CERN experiment should discover at least one new spin zero elementary particle and probably several others pp. 2838-2841

M.S. El Naschie

Some visually interesting non-standard quaternion fractal sets pp. 2842-2846

S. Halayka

Cellular automata modelling of hantarvirus infection pp. 2847-2853

Mohamad Faisal Abdul Karim, Ahmad Izani Md Ismail and Hoe Bee Ching

2009, volume 41, articles 4

Iterated function systems and well-posedness pp. 1561-1568

Enrique Llorens-Fuster, Adrian Petruşel and Jen-Chih Yao

Kac–Moody exceptional E12 from simplictic tiling pp. 1569-1571

M.S. El Naschie

Impulsive control of uncertain Lotka–Volterra predator–prey system pp. 1572-1577

Dong Li, Shilong Wang, Xiaohong Zhang and Dan Yang

Head-on-collision of nonlinear waves in a fluid of variable viscosity contained in an elastic tube pp. 1578-1586

Hilmi Demiray

The number of elementary particles in the standard model from purely number theoretical considerations pp. 1587-1589

L. Marek-Crnjac

From Lagrangian mechanics fractal in space to space fractal Schrödinger’s equation via fractional Taylor’s series pp. 1590-1604

Guy Jumarie

Experimental validation of binary collisions between wave fragments in the photosensitive Belousov–Zhabotinsky reaction pp. 1605-1615

Rita Toth, Christopher Stone, Andrew Adamatzky, Ben de Lacy Costello and Larry Bull

Knot wormholes and the dimensional invariant of exceptional Lie groups and Stein space hierarchies pp. 1616-1618

Ayman Elokaby

Effect of rotation in magneto-micropolar thermoelastic medium due to mechanical and thermal sources pp. 1619-1633

Rajneesh Kumar and Rupender,

Spatiotemporal complexity of a predator–prey system with the effect of noise and external forcing pp. 1634-1644

Feng Rao, Weiming Wang and Zhenqing Li

Entanglement sudden death of two atoms successive passing a cavity pp. 1645-1650

Xue-Qun Yan

On the origin of the inertia: The modified Newtonian dynamics theory pp. 1651-1660

Jaume Giné

Best approximation on probabilistic normed spaces pp. 1661-1667

M. Shams and S.M. Vaezpour

On harmonic curvatures of a Frenet curve in Lorentzian space pp. 1668-1675

Mihriban Külahcı, Mehmet Bektaş and Mahmut Ergüt

Characteristics of a class of vector-valued non-separable higher-dimensional wavelet packet bases pp. 1676-1683

Qing-Jiang Chen and Xiao-Gang Qu

Decompositions of continuity and some weak forms of continuity pp. 1684-1690

Hande Kırbaş and Gülhan Aslım

On fuzzy α-I-continuous and fuzzy α-I-open functions pp. 1691-1696

S. Yuksel, E. Gursel Caylak and A. Acikgoz

Adaptive control of spatiotemporal chaos in coupled map lattices pp. 1697-1707

Z. Rahmani and M.R. Jahed Motlagh

A framework of induced hyperspace dynamical systems equipped with the hit-or-miss topology pp. 1708-1717

Yangeng Wang, Guo Wei, William H. Campbell and Steven Bourquin

Cryptanalysis of a spatiotemporal chaotic cryptosystem pp. 1718-1722

Rhouma Rhouma and Safya Belghith

Detection of low-dimensional chaos in wind time series pp. 1723-1732

Theodoros E. Karakasidis and Avraam Charakopoulos

New exact travelling wave solutions of nonlinear physical models pp. 1733-1739

Ahmet Bekir and Adem C. Cevikel

Tetrapterous butterfly attractors in modified Lorenz systems pp. 1740-1749

Simin Yu and Wallace K.S. Tang

Investigation of a saddle node bifurcation due to loss of contact in preloaded spherical roller thrust bearings pp. 1750-1759

Magnus Karlberg

Stationary oscillation for nonautonomous bidirectional associative memory neural networks with impulse pp. 1760-1763

Yinping Zhang

Dynamic effects of increasing heterogeneity in financial markets pp. 1764-1772

Ahmad Naimzada and Giorgio Ricchiuti

A chaos-based image encryption algorithm with variable control parameters pp. 1773-1783

Yong Wang, Kwok-Wo Wong, Xiaofeng Liao, Tao Xiang and Guanrong Chen

Forced oscillators with non-linear spring: A simple analytical approach pp. 1784-1790

S. Wang and M. Wiercigroch

Exact bright and dark spatial soliton solutions in saturable nonlinear media pp. 1791-1798

Gabriel F. Calvo, Juan Belmonte-Beitia and Víctor M. Pérez-García

Knots and exceptional Lie groups as building blocks of high energy particle physics pp. 1799-1803

M.S. El Naschie

Bifurcation structure of equilibria of iterated softmax pp. 1804-1816

Peter Tiňo

Inverse problem in chaotic map theory pp. 1817-1822

Kiyoshi Sogo

Proteomic signals in simple transcriptional cascades pp. 1823-1827

A.S. Carstea, A. Ramani, K.M. Tamizhmani and B. Grammaticos

Complex networks-based energy-efficient evolution model for wireless sensor networks pp. 1828-1835

Hailin Zhu, Hong Luo, Haipeng Peng, Lixiang Li and Qun Luo

Allometric scaling laws in biology and physics pp. 1836-1838

Ji-Huan He and Jun-Fang Liu

Hierarchy of wool fibers and its interpretation using E-infinity theory pp. 1839-1841

Ji-Huan He, Zhong-Fu Ren, Jie Fan and Lan Xu

Soliton spin excitations in a Heisenberg helimagnet pp. 1842-1848

M. Daniel and J. Beula

A constructional method for generalized synchronization of coupled time-delay chaotic systems pp. 1849-1853

Hui-fen Xiang and Gao-ping Li

Yang–Mills action as an eigenvalue problem in the theory of elasticity and some measure theoretical interpretation of ‘tHooft’s instanton pp. 1854-1856

M.S. El Naschie

Sliding mode control for uncertain new chaotic dynamical system pp. 1857-1862

Sara Dadras, Hamid Reza Momeni and Vahid Johari Majd

Impulsive stability of chaotic systems represented by T-S model pp. 1863-1869

Xiaohong Zhang, Anmar Khadra, Dong Li and Dan Yang

On one interesting case of switching nonlinearity pp. 1870-1872

Emanuel Gluskin

On the homotopy analysis method for the exact solutions of Helmholtz equation pp. 1873-1879

A.K. Alomari, M.S.M. Noorani and R. Nazar

Delayed feedbacks to control the fractal erosion of safe basins in a parametrically excited system pp. 1880-1896

Huilin Shang and Jian Xu

Control of nuclear spin generator system based on passive control pp. 1897-1901

Karim Kemih

An irreducibly simple derivation of the Hausdorff dimension of spacetime pp. 1902-1904

M.S. El Naschie

He’s homotopy-perturbation method for solving higher-order boundary value problems pp. 1905-1909

A.S.V. Ravi Kanth and K. Aruna

Split quaternions and semi-Euclidean projective spaces pp. 1910-1915

Erhan Ata and Yusuf Yayli

New asymptotic stability criteria for neural networks with time-varying delays pp. 1916-1922

Junkang Tian and Dongsheng Xu

Alternative implementation of the chaotic Chen–Lee system pp. 1923-1929

Long-Jye Sheu, Lap-Mou Tam, Hsien-Keng Chen and Seng-Kin Lao

Meso-structures of dynamical chaos and E-infinity theory pp. 1930-1938

A.M. Mukhamedov

Exact thermodynamic principles for dynamic order existence and evolution in chaos pp. 1939-1948

Shripad P. Mahulikar and Heinz Herwig

A coupling of three quadratic maps pp. 1949-1952

Paulo C. Rech

The set of prime numbers: Multiscale analysis and numeric accelerators pp. 1953-1965

Gerardo Iovane

Parseval frame scaling sets and MSF Parseval frame wavelets pp. 1966-1974

Zhanwei Liu, Guoen Hu and Zhibo Lu

Long-term prediction of chaotic time series with multi-step prediction horizons by a neural network with Levenberg–Marquardt learning algorithm pp. 1975-1979

Hossein Mirzaee

Adaptive control of nonlinear in parameters chaotic system via Lyapunov exponents placement pp. 1980-1986

Moosa Ayati and Ali Khaki-Sedigh

Observing bifurcation and resonance in a mean-field coupled periodically driven noisy overdamped oscillators by the method of moments pp. 1987-1993

Yan-Mei Kang and Yao-Lin Jiang

Relations between mixing and distributional chaos pp. 1994-2000

Gongfu Liao, Zhenyan Chu and Qinjie Fan

Model-free adaptive control optimization using a chaotic particle swarm approach pp. 2001-2009

Leandro dos Santos Coelho and Antonio Augusto Rodrigues Coelho

Stability and Neimark–Sacker bifurcation of numerical discretization of delay differential equations pp. 2010-2017

Zhimin He, Xin Lai and Aiyu Hou

On the Witten–Duff five Branes model together with knots theory and E8E8 super strings in a single fractal spacetime theory pp. 2018-2021

M.S. El Naschie

Global exponential stability criterion for uncertain discrete-time cellular neural networks pp. 2022-2024

Yeong-Jeu Sun

New quasi-periodic waves and theirs interactions in (2+1)-dimensional nonlinear systems pp. 2025-2034

Cheng-Lin Bai and Hui-Juan Niu

Non-desired transitions and sliding-mode control of a multi-DOF mechanical system with stick-slip oscillations pp. 2035-2044

Eva M. Navarro-López and Eduardo Licéaga-Castro

Fire patterns of modified HH neuron under external sinusoidal ELF stimulus pp. 2045-2054

Chunxiao Han, Jiang Wang and Bin Deng

Decompositions of continuity, α-continuity and AB-continuity pp. 2055-2061

Erdal Ekici and Takashi Noiri

A new experimental approach to study the stability of logistic map pp. 2062-2066

Mamta Rani and Rashi Agarwal

Quantum infinite square well with an oscillating wall pp. 2067-2074

M.L. Glasser, J. Mateo, J. Negro and L.M. Nieto

Response of a stochastic Duffing–Van der Pol elastic impact oscillator pp. 2075-2080

Liang Wang, Wei Xu, Gaojie Li and Dongxi Li

Robust intelligent backstepping tracking control for uncertain non-linear chaotic systems using H∞ control technique pp. 2081-2096

Ya-Fu Peng

Parameter identification of time-delay chaotic system using chaotic ant swarm pp. 2097-2102

Yinggan Tang, Mingyong Cui, Lixiang Li, Haipeng Peng and Xinping Guan

Fractal cosmology pp. 2103-2105

Jonathan J. Dickau

New results for global robust stability of bidirectional associative memory neural networks with multiple time delays pp. 2106-2114

Sibel Senan and Sabri Arik

Intermittent and chaotic vibrations in a regenerative cutting process pp. 2115-2122

Grzegorz Litak, Asok K. Sen and Arkadiusz Syta

Exponential stabilization for discrete Takagi–Sugeno fuzzy systems via impulsive control pp. 2123-2127

Qishui Zhong, Jingfu Bao, Yongbin Yu and Xiaofeng Liao

Analytic study on the higher order Ito equations: New solitary wave solutions using the Exp-function method pp. 2128-2134

F. Khani

Symplectic tiling, hypercolour and hyperflavor E12 pp. 2135-2138

Ray Munroe

Dynamics of a Ivlev-type predator–prey system with constant rate harvesting pp. 2139-2153

Li Ling and Weiming Wang

Existence of homoclinic orbits of an area-preserving map with a nonhyperbolic structure pp. 2154-2162

Hun Ki Baek and Younghae Do

Curvature, Lagrangian and holonomy of Cantorian-fractal spacetime pp. 2163-2167

M.S. El Naschie

Smooth and non-smooth traveling wave solutions of a class of nonlinear dispersive equation pp. 2168-2177

Xiaoshan Zhao, Aidi Wu and Wenzhang He

Periodic dynamics in queuing networks pp. 2178-2192

Tommaso Addabbo and Ljupco Kocarev

Structural stability of finite dispersion-relation preserving schemes pp. 2193-2199

Claire David and Pierre Sagaut

2009, volume 41, articles 3

Arnold family in acoustically forced air bubble formation pp. 1041-1049

V.S.M. Piassi, E. Colli, A. Tufaile and J.C. Sartorelli

Lead commutation for quantum switching pp. 1050-1054

Jiang Min, Zhang Zeng-ke, Zeng Jia and Liu Bin

A study of Saudi climatic parameters using climatic predictability indices pp. 1055-1069

Shafiqur Rehman and Mohamed El-Gebeily

Generalized decomposition methods for nonlinear oscillators pp. 1078-1084

J.I. Ramos

The self-adaptation to dynamic failures for efficient virtual organization formations in grid computing context pp. 1085-1094

Liangxiu Han

Analysis of the solutions of coupled nonlinear fractional reaction–diffusion equations pp. 1095-1104

V. Gafiychuk, B. Datsko, V. Meleshko and D. Blackmore

On the intuitionistic fuzzy inner product spaces pp. 1105-1112

M. Goudarzi, S.M. Vaezpour and R. Saadati

A generalized Principle of Relativity pp. 1113-1122

Fernando de Felice and Giovanni Preti

Synchronization threshold of a coupled n-dimensional time-delay system pp. 1123-1124

Swarup Poria, Anindita Tarai Poria and Prasanta Chatterjee

Delay-range-dependent exponential H∞ synchronization of a class of delayed neural networks pp. 1125-1135

Hamid Reza Karimi and Peter Maass

Turbulence revisited pp. 1136-1149

Michail Zak

Chaos and bifurcation in dynamical evolution process of traffic assignment with flow “mutation” pp. 1150-1157

Ren-Yong Guo and Hai-Jun Huang

Localized and periodic exact solutions to the nonlinear Schrödinger equation with spatially modulated parameters: Linear and nonlinear lattices pp. 1158-1166

Juan Belmonte-Beitia, Vladimir V. Konotop, Víctor M. Pérez-García and Vadym E. Vekslerchik

Time series cross prediction in a single transistor chaotic circuit pp. 1167-1173

M.P. Hanias and G.S. Tombras

Global stability for neural networks of neutral-type with interval time-varying delays pp. 1174-1181

Ju H. Park and O.M. Kwon

Learning FCM by chaotic simulated annealing pp. 1182-1190

Somayeh Alizadeh and Mehdi Ghazanfari

Collision-based implementation of a two-bit adder in excitable cellular automaton pp. 1191-1200

Liang Zhang and Andrew Adamatzky

Bell’s inequalities for three-qubit entangled states with white noise pp. 1201-1207

Jinho Chang and Younghun Kwon

Dust-ion-acoustic solitary waves in a two-temperature electrons with charge fluctuations in a dusty plasma pp. 1208-1217

M. Shalaby, S.K. El-Labany, E.F. El-Shamy and L.S. El-Sherif

Stability analysis of continuous population model involving predation and Allee effect pp. 1218-1222

O. Duman and H. Merdan

Stability and bifurcation analysis in a basic model of the immune response with delays pp. 1223-1234

Chunbo Yu and Junjie Wei

Existence and attractivity of periodic solutions to non-autonomous Cohen–Grossberg neural networks with time delays pp. 1235-1244

Chun-Hsien Li and Suh-Yuh Yang

A neural network method for solving a system of linear variational inequalities pp. 1245-1252

Heng-you Lan and Yi-Shun Cui

Computation of complexity measures of morphologically significant zones decomposed from binary fractal sets via multiscale convexity analysis pp. 1253-1262

Sin Liang Lim, Voon Chet Koo and B.S. Daya Sagar

BPS states, dualities and determining the mass of elementary particles pp. 1263-1265

M.S. El Naschie

Controlling chaos in the permanent magnet synchronous motor pp. 1266-1276

Mohamed Zribi, Ahmed Oteafy and Nejib Smaoui

Nonlinear solitary oscillations in a varying charge dusty plasma in the presence of nonisothermal trapped electrons pp. 1277-1283

Mouloud Tribeche, Smain Younsi and Taha Houssine Zerguini

Regularization of Hele–Shaw flows, multiscaling expansions and the Painlevé-I equation pp. 1284-1293

L. Martínez Alonso and E. Medina

A new interpretation of chaos pp. 1294-1300

Chuanwen Luo, Gang Wang, Chuncheng Wang and Junjie Wei

Synchronization of discrete-time hyperchaotic systems: An application in communications pp. 1301-1310

A.Y. Aguilar-Bustos and C. Cruz-Hernández

Control of chaos in a three-well duffing system pp. 1311-1328

Jianping Yang and Zhujun Jing

A simple direct connection between superstrings and E8 unification pp. 1329-1330

M.S. El Naschie

Suppression of spiral wave and turbulence by using amplitude restriction of variable in a local square area pp. 1331-1339

Jun Ma, Ya Jia, Ming Yi, Jun Tang and Ya-Feng Xia

E-eight exceptional Lie groups, Fibonacci lattices and the standard model pp. 1340-1343

M.S. El Naschie

The set of primes: Towards an optimized algorithm, prime generation and validation, and asymptotic consequences pp. 1344-1352

Gerardo Iovane

Synchronizability of coupled PWL maps pp. 1353-1367

A. Polynikis, M. di Bernardo and S.J. Hogan

Design and properties of vector-valued wavelets associated with an orthogonal vector-valued scaling function pp. 1368-1376

De-you Yuan, Shu-de Du and Zheng-xing Cheng

Identification-based chaos control via backstepping design using self-organizing fuzzy neural networks pp. 1377-1389

Ya-Fu Peng and Chun-Fei Hsu

Sliding mode control and synchronization of chaotic systems with parametric uncertainties pp. 1390-1400

Moez Feki

A revisit to quadratic programming with fuzzy parameters pp. 1401-1407

Shiang-Tai Liu

The equivalence of multifractal measures on cookie-cutter-like sets pp. 1408-1415

Meifeng Dai and Ying Jiang

A new method based on fractal variance function for analysis and quantification of sympathetic and vagal activity in variability of R–R time series in ECG signals pp. 1416-1426

Elio Conte, Antonio Federici and Joseph P. Zbilut

Global exponential stability of impulsive cellular neural networks with time-varying and distributed delay pp. 1427-1434

Kelin Li, Xinhua Zhang and Zuoan Li

New types of common fixed point theorems in 2-metric spaces pp. 1435-1441

M.E. Abd EL-Monsef, H.M. Abu-Donia and Kh. Abd-Rabou

Categorization of fractal plants pp. 1442-1447

Munesh Chandra and Mamta Rani

Variational iteration method for solving the wave equation subject to an integral conservation condition pp. 1448-1453

Mehdi Dehghan and Abbas Saadatmandi

Extended Jacobi elliptic function expansion method and its application to nonlinear evolution equation pp. 1454-1458

Xiaoyong Wen and Dazhao Lü

Chaotic dynamics reconstruction from noisy data: Phenomenon of predictability worsening for incomplete set of observables pp. 1459-1466

Stefan Berczyñski, Yury A. Kravtsov and Oleg Anosov

Nonlinear response of a forced van der Pol–Duffing oscillator at non-resonant bifurcations of codimension two pp. 1467-1475

J.C. Ji and N. Zhang

Robust synchronization of coupled delayed neural networks under general impulsive control pp. 1476-1480

Yinping Zhang and Jitao Sun

A statistical approach to investigate the formation of the solar system pp. 1481-1500

Alexander M. Krot

Interval maps associated to the cellular automaton rule 184 pp. 1501-1509

L. Bandeira, Maria J. Martinho and C. Correia Ramos

Secure communication based on multi-input multi-output chaotic system with large message amplitude pp. 1510-1517

G. Zheng, D. Boutat, T. Floquet and J.P. Barbot

Classical black-brane and non-commutative geometry pp. 1518-1519

A. Farmany, S. Abbasi, A. Naghipour, A. Nuri and N. Rahimi

Using fractal dimension to quantify long-range persistence in global solar radiation pp. 1520-1530

S. Harrouni and A. Guessoum

Cusped solitons of the Camassa–Holm equation. II. Binary cuspon–soliton interactions pp. 1531-1549

A. Parker

Exact solution for the generalized Telegraph Fisher’s equation pp. 1550-1556

H.A. Abdusalam and E.S. Fahmy

The MSSM, E8, Hyperflavor E12 and E∞ TOE’s compared and contrasted pp. 1557-1560

Ray Munroe

2009, volume 41, articles 2

Self-excited vibration control for axially fast excited beam by a time delay state feedback pp. 521-532

Mustapha Hamdi and Mohamed Belhaq

Nonlinear dynamics in the Einstein–Friedmann equation pp. 533-549

Yosuke Tanaka, Yuji Mizuno, Shigetoshi Ohta, Keisuke Mori and Tanji Horiuchi

New solutions for the cubic Schrödinger equation and solitonic solutions pp. 550-559

Hassan A. Zedan

Systematic search of symmetric periodic orbits in 2DOF Hamiltonian systems pp. 560-582

Roberto Barrio and Fernando Blesa

Structures formation through self-organized accretion on cosmic strings pp. 583-586

R. Murdzek

A new integrable equation with no smooth solitons pp. 587-593

Zhijun Qiao and Liping Liu

Reliability–redundancy optimization by means of a chaotic differential evolution approach pp. 594-602

Leandro dos Santos Coelho

Urban gravity model based on cross-correlation function and Fourier analyses of spatio-temporal process pp. 603-614

Yanguang Chen

Modeling the self-affine structure and optimization conditions of city systems using the idea from fractals pp. 615-629

Yanguang Chen and Jingyi Lin

Controlling chaos (OGY) implemented on a reconstructed ecological two-dimensional map pp. 630-641

Kenshi Sakai and Yuko Noguchi

Frequency–amplitude relationship of nonlinear oscillators by He’s parameter-expanding method pp. 642-645

Zhao-Ling Tao

New exact travelling wave solutions of nonlinear Klein–Gordon equations pp. 646-654

Bongsoo Jang

Spurious solitons and structural stability of finite-difference schemes for non-linear wave equations pp. 655-660

Claire David and Pierre Sagaut

Darboux transformation and multi-soliton solutions for some soliton equations pp. 661-670

Zhaqilao,, Yong Chen and Zhi-Bin Li

Multistability and complex dynamics in a simple discrete economic model pp. 671-687

Mingshu Peng, Zhonghao Jiang, Xiaoxia Jiang, Jiping Hu and Youli Qu

Reducing a generalized Davey–Stewartson system to a non-local nonlinear Schrödinger equation pp. 688-697

Alp Eden, Saadet Erbay and Irma Hacinliyan

Chaos and optimal control of a coupled dynamo with different time horizons pp. 698-710

Awad El-Gohary and Rizk Yassen

A note on biorthogonality of the scaling functions with arbitrary matrix dilation factor pp. 711-715

Lei Sun and Xiaozhong Zhang

Exact solutions of the hierarchical Korteweg–de Vries equation of microstructured granular materials pp. 716-726

A.M. Abourabia, T.S. El-Danaf and A.M. Morad

Stochastic resonance and vibrational resonance in an excitable system: The golden mean barrier pp. 727-734

Cristina Stan, C.P. Cristescu, D. Alexandroaei and M. Agop

Multisymplectic integration of N-coupled nonlinear Schrödinger equation with destabilized periodic wave solutions pp. 735-751

Ayhan Aydın

Asymptotic theory of chaotic synchronization for dissipative-coupled dynamical systems pp. 752-763

Nikolai N. Verichev, Stanislav N. Verichev and Marian Wiercigroch

Product space and the digital plane via relations pp. 764-771

A.A. Allam, M.Y. Bakeir and E.A. Abo-Tabl

On the occurrence of chaos in a parametrically driven extended Rayleigh oscillator with three-well potential pp. 772-782

M. Siewe Siewe, Hongjun Cao and Miguel A.F. Sanjuán

On the chaotic synchronization of Lorenz systems with time-varying lags pp. 783-794

Lixiang Li, Haipeng Peng, Yixian Yang and Xiangdong Wang

Asymptotic analysis of a von Koch beam pp. 795-802

Alberto Carpinteri, Nicola Pugno and Alberto Sapora

Analytic bounded travelling wave solutions of some nonlinear equations II pp. 803-810

Eugenia N. Petropoulou, Panayiotis D. Siafarikas and Ioannis D. Stabolas

In the search of convergents to 23 pp. 811-817

Peter Petek, Mitja Lakner and Marjeta Škapin Rugelj

Nonlinear transitions of a spherical cavitation bubble pp. 818-828

Sohrab Behnia, Amin Jafari, Wiria Soltanpoor and Okhtay Jahanbakhsh

Automatic generation of symmetric IFSs contracted in the hyperbolic plane pp. 829-842

Ning Chen, Ding Hao and Ming Tang

From criticality to final collapse: Evolution of the “b-value” from 1.5 to 1.0 pp. 843-853

Alberto Carpinteri, Giuseppe Lacidogna and Simone Puzzi

Contraction theorems in fuzzy metric space pp. 854-858

R. Farnoosh, A. Aghajani and P. Azhdari

Numerical solution of fuzzy differential equations by Nyström method pp. 859-868

A. Khastan and K. Ivaz

Higgs mechanism, quarks confinement and black holes as a Cantorian spacetime phase transition scenario pp. 869-874

M.S. El Naschie

Fractal growth of tumors and other cellular populations: Linking the mechanistic to the phenomenological modeling and vice versa pp. 875-880

d’Onofrio, Alberto

Predominant natural red-shift of quasi-conservative nonlinear systems pp. 881-885

Nicola Maria Pugno, Alberto Carpinteri and Pier Paolo Delsanto

Works on an information geometrodynamical approach to chaos pp. 886-891

Carlo Cafaro

The orthogonal interpolating balanced multiwavelet with rational coefficients pp. 892-899

Rui Li and Guochang Wu

LMI-based approach for global exponential robust stability for reaction–diffusion uncertain neural networks with time-varying delay pp. 900-905

Linshan Wang, Yan Zhang, Zhe Zhang and Yangfan Wang

Synchronization: The ratchet phenomenon pp. 906-918

R. Badard

Quantum dynamical effects as a singular perturbation for observables in open quasi-classical nonlinear mesoscopic systems pp. 919-929

G.P. Berman, F. Borgonovi and D.A.R. Dalvit

Rhythmic components in renal autoregulation: Nonlinear modulation phenomena pp. 930-938

A.N. Pavlov, O.V. Sosnovtseva, O.N. Pavlova, E. Mosekilde and N.-H. Holstein-Rathlou

Chaotically encoded particle swarm optimization algorithm and its applications pp. 939-950

Bilal Alatas and Erhan Akin

The research of a class of biorthogonal compactly supported vector-valued wavelets pp. 951-961

Qingjiang Chen and Ailian Huo

A fractional-order hyperchaotic system and its synchronization pp. 962-969

Hongmin Deng, Tao Li, Qionghua Wang and Hongbin Li

Probability- and curve-based fractal reconstruction on 2D DEM terrain profile pp. 970-978

Fu-Jou Lai and Yueh Min Huang

The tanh method: A tool for solving some mathematical models pp. 979-988

Zarea, Sana’a A.

Experimental and simulated displacement of oil in sand berea cores using aqueous solutions pp. 989-996

Ana Calderon Ramirez, J.L. González, F. Hernández and H. Hernández

Low dimensional behavior in three-dimensional coupled map lattices pp. 997-1004

Paulsamy Muruganandam, Gerson Francisco, Marcio de Menezes and Fernando F. Ferreira

Exact solutions for the quintic nonlinear Schrödinger equation with inhomogeneous nonlinearity pp. 1005-1009

Juan Belmonte-Beitia

A note on almost β-continuous functions pp. 1010-1013

Erdal Ekici

Fixed point theorems in probabilistic metric spaces pp. 1014-1019

Dorel Miheţ

Categorization of new fractal carpets pp. 1020-1026

Mamta Rani and Saurabh Goel

Hopf bifurcation and chaos from torus breakdown in voltage-mode controlled DC drive systems pp. 1027-1033

Dong Dai, Xikui Ma, Bo Zhang and Chi Tse

Exact solutions of KdV–Burgers’ equation by Exp-function method pp. 1034-1039

A.A. Soliman

2009, volume 41, articles 1

The metallic ratios as limits of complex valued transformations pp. 1-13

Sergio Falcón and Ángel Plaza

Nonlinear dynamics analysis of a modified optically injected semiconductor lasers model pp. 14-27

Yan-Dong Chu, Xian-Feng Li, Jian-Gang Zhang and Ying-Xiang Chang

Improved homotopy perturbation method for solving Fredholm type integro-differential equations pp. 28-37

Yusufoğlu (Agadjanov), Elcin

Spatiotemporal complexity of a predator–prey system with constant harvest rate pp. 38-46

Lei Zhang, Wenjuan Wang and Yakui Xue

Adaptive control of a seven mode truncation of the Kolmogorov flow with drag pp. 47-59

G. Gambino, M.C. Lombardo and M. Sammartino

Chaos synchronization in a Josephson junction system via active sliding mode control pp. 60-66

Yang Zhao and Wei Wang

Chaos control in uncertain dynamical systems using nonlinear delayed feedback pp. 67-71

Hassan Salarieh and Aria Alasty

Almost b-continuous functions pp. 72-81

Aynur Keskin and Takashi Noiri

An auxiliary equation technique and exact solutions for a nonlinear Klein–Gordon equation pp. 82-90

Xiumei Lv, Shaoyong Lai and YongHong Wu

Design and characterizations of a class of orthogonal multiple vector-valued wavelets with 4-scale pp. 91-102

Qingjiang Chen, Huaixin Cao and Zhi Shi

Harvesting policy for a delayed stage-structured Holling II predator–prey model with impulsive stocking prey pp. 103-112

Jianjun Jiao, Xinzhu Meng and Lansun Chen

Control of spatio-temporal on–off intermittency in random driving diffusively coupled map lattices pp. 113-122

M. Ziabakhsh Deilami, Z. Rahmani Cherati and M.R. Jahed Motlagh

A unified system describing dynamics of chaotic convection pp. 123-130

Long Jye Sheu, Juhn Horng Chen, Hsien Keng Chen, Lap Mou Tam and Yi Chi Chao

Classification of periodic orbits for systems with backlash pp. 131-144

Amit Shukla, Bart Besselink, Rob H.B. Fey and Henk Nijmeijer

On the synchronization of uncertain master–slave chaotic systems with disturbance pp. 145-151

Bo Wang and Guangjun Wen

An approach to the solution of linear system of equations by He’s homotopy perturbation method pp. 152-156

B. Keramati

Design 2D nonlinear system for information storage pp. 157-163

Aiguo Song, Jianghai Duan, Juan Wu and Huijun Li

Global exponential stability of impulsive Cohen–Grossberg neural networks with continuously distributed delays pp. 164-174

Zhao Wu Ping and Jun Guo Lu

Analysis of an HIV/AIDS treatment model with a nonlinear incidence pp. 175-182

Liming Cai and Jingang Wu

A complex ansatz method applied to nonlinear equations of Schrödinger type pp. 183-189

Huiqun Zhang

Synchronization of bidirectionally coupled chaotic Chen’s system with delay pp. 190-197

Tarai (Poria), Anindita, Swarup Poria and Prasanta Chatterjee

Detrended fluctuation analysis in natural languages using non-corpus parametrization pp. 198-205

Gökhan Şahin, Murat Erentürk and Avadis Hacinliyan

A note on “Some results on the IF-normed spaces” pp. 206-213

Reza Saadati

Chaos synchronization in autonomous chaotic system via hybrid feedback control pp. 214-223

Li-Xin Yang, Yan-Dong Chu, Jian-Gang Zhang, Xian-Feng Li and Ying-Xiang Chang

A new method applied to obtain complex Jacobi elliptic function solutions of general nonlinear equations pp. 224-232

Hong Zhao and Hui-Juan Niu

Reconfigurable logic blocks based on a chaotic Chua circuit pp. 233-244

Hamid Reza Pourshaghaghi, Behnam Kia, William Ditto and Mohammad Reza Jahed-Motlagh

Global pulse synchronization of chaotic oscillators through fast-switching: theory and experiments pp. 245-262

Maurizio Porfiri and Francesca Fiorilli

Exponential p-stability of impulsive stochastic neural networks with mixed delays pp. 263-272

Liguang Xu and Daoyi Xu

A constructive role of internal noise on coherence resonance induced by external noise in a calcium oscillation system pp. 273-283

Guang Yu, Ming Yi, Ya Jia and Jun Tang

Multi-wing hyperchaotic attractors from coupled Lorenz systems pp. 284-291

Giuseppe Grassi, Frank L. Severance and Damon A. Miller

Convex structure, normal structure and a fixed point theorem in intuitionistic fuzzy metric spaces pp. 292-301

Siniša N. Ješić

Global consensus for discrete-time competitive systems pp. 302-310

Chih-Wen Shih and Jui-Pin Tseng

Minimizing the effect of exponential trends in detrended fluctuation analysis pp. 311-316

Na Xu, Pengjian Shang and Santi Kamae

Complex spin and anti-spin dynamics: A generalization of de Broglie–Bohm theory to complex space pp. 317-333

Ciann-Dong Yang

Periodic and chaotic events in a discrete model of logistic type for the competitive interaction of two species pp. 334-347

Ricardo López-Ruiz and Danièle Fournier-Prunaret

Novel global robust stability criterion for neural networks with delay pp. 348-353

Vimal Singh

A new adaptive blind channel identification algorithm pp. 354-359

Dezhong Peng, Yong Xiang and Zhang Yi

Common fixed point theorems for fuzzy mappings under Φ-contraction condition pp. 360-367

Dong Qiu, Lan Shu and Jian Guan

Chaotic analysis of time series in the sediment transport phenomenon pp. 368-379

Pengjian Shang, Xu Na and Santi Kamae

An artificial parameter–Linstedt–Poincaré method for oscillators with smooth odd nonlinearities pp. 380-393

J.I. Ramos

Retraction of chaotic Ricci space pp. 394-400

A.A. El-Ahmady and H. Rafat

Fuzzy system identification via chaotic ant swarm pp. 401-409

Lixiang Li, Yixian Yang and Haipeng Peng

Cryptanalysis of a computer cryptography scheme based on a filter bank pp. 410-413

David Arroyo, Chengqing Li, Shujun Li and Gonzalo Alvarez

Robust stability analysis of uncertain stochastic neural networks with interval time-varying delay pp. 414-424

Wei Feng, Simon X. Yang, Wei Fu and Haixia Wu

Chaos and optimal control of equilibrium states of tumor system with drug pp. 425-435

Awad El-Gohary

Application of He’s variational iteration method for solution of differential-algebraic equations pp. 436-445

F. Soltanian, S.M. Karbassi and M.M. Hosseini

Approximation theorems by Meyer-König and Zeller type operators pp. 451-456

M. Ali Özarslan and Oktay Duman

Chaos synchronization of a unified chaotic system via partial linearization pp. 457-463

Yongguang Yu, Han-Xiong Li and Jian Duan

Solitary wave solutions for the KdV and mKdV equations by differential transform method pp. 464-472

Figen Kangalgil and Fatma Ayaz

Fréchet differentiation of nonlinear operators between fuzzy normed spaces pp. 473-484

Yilmaz Yilmaz

Establishing the existence of a distance-based upper bound for a fuzzy DEA model using duality pp. 485-490

M. Soleimani-damaneh

A simple ansatz for obtaining exact solutions of high dispersive nonlinear Schrödinger equations in fiber Bragg gratings pp. 491-496

Kamel Mezghiche, F. Azzouzi and A. El-Akrmi

k-Fibonacci sequences modulo m pp. 497-504

Sergio Falcon and Ángel Plaza

A novel chaotic block cryptosystem based on iterating map with output-feedback pp. 505-510

Degang Yang, Xiaofeng Liao, Yong Wang, Huaqian Yang and Pengcheng Wei

The application of He’s exp-function method to a nonlinear differential-difference equation pp. 511-515

Chaoqing Dai, Xu Cen and Shengsheng Wu

Optimal synchronization in small-world biological neural networks with time-varying weights pp. 516-520

Hongyu Zheng and Xiaoshu Luo