Chaos, Solitons & Fractals

2002 - 2025

Current editor(s): Stefano Boccaletti and Stelios Bekiros

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2008, volume 38, articles 5

Golden differential geometry pp. 1229-1238

Mircea Crasmareanu and Cristina-Elena Hreţcanu

On the vital difference between number theory and numerology in physics pp. 1239-1242

L. Marek-Crnjac

El Naschie’s ε(∞) space–time and scale relativity theory in the topological dimension D=3 pp. 1243-1253

M. Agop, Cristina Radu and T. Bontas

Adaptive synchronization in nonlinearly coupled dynamical networks pp. 1254-1259

Guangming He and Jingyu Yang

Fuzzy multi-instanton knots in the fabric of space–time and Dirac’s vacuum fluctuation pp. 1260-1268

M.S. El Naschie

Hierarchical Cantor set in the large scale structure with torus geometry pp. 1269-1273

R. Murdzek

Detecting chaos in a citrus orchard: Reconstruction of nonlinear dynamics from very short ecological time series pp. 1274-1282

Kenshi Sakai, Yuko Noguchi and Shin-ichi Asada

An energy balance Eigenvalue equation for determining super strings dimensional hierarchy and coupling constants pp. 1283-1285

M.S. El Naschie

The exceptional E-infinity theory holographic boundary, F-theory and the number of particles in the standard model pp. 1286-1291

Ayman A. El-Okaby

A WKB approach to quantum Hall states pp. 1292-1297

Marina-Aura Dariescu and Ciprian Dariescu

Synchronization in multiple time delay chaotic semiconductor lasers with optoelectronic feedbacks and couplings pp. 1298-1304

E.M. Shahverdiev and K.A. Shore

Exceptional Lie groups, E-infinity theory and Higgs Boson pp. 1305-1317

Ayman A. El-Okaby

Anomalies free E-infinity from von Neumann’s continuous geometry pp. 1318-1322

M.S. El Naschie

Mean square exponential stability and periodic solutions of stochastic delay cellular neural networks pp. 1323-1331

Jun-Xiang Lu and Yichen Ma

Eliminating gauge anomalies via a “point-less” fractal Yang–Mills theory pp. 1332-1335

M.S. El Naschie

Exact solutions for thin film flow of a third grade fluid down an inclined plane pp. 1336-1341

T. Hayat, R. Ellahi and F.M. Mahomed

Dual synchronization of chaotic systems via time-varying gain proportional feedback pp. 1342-1348

Hassan Salarieh and Mohammad Shahrokhi

Fuzzy knot theory interpretation of Yang–Mills instantons and Witten’s 5-Brane model pp. 1349-1354

M.S. El Naschie

The new method of measuring the effects of noise reduction in chaotic data pp. 1355-1368

Witold Orzeszko

Generalizing the Random Walk and the Eddington–Weinberg laws for a hierarchical Universe pp. 1369-1372

Nicola M. Pugno

Common fixed points theorems for fuzzy mappings pp. 1378-1382

Tayyab Kamran

Position vectors of a timelike and a null helix in Minkowski 3-space pp. 1383-1389

Kazım İlarslan and Özgür Boyacıoğlu

Fatalness of virus depends upon its cell fractal geometry pp. 1390-1393

Ji-Huan He

A survey of Wien bridge-based chaotic oscillators: Design and experimental issues pp. 1394-1410

Recai Kiliç and Fatma Yildirim

Features analysis of a parametric PWL chaotic map and its utilization for secure transmissions pp. 1411-1422

Pascal Chargé, Danièle Fournier-Prunaret and Véronique Guglielmi

A secure communication system using projective-lag and/or projective-anticipating synchronizations of coupled multidelay feedback systems pp. 1423-1438

Thang Manh Hoang and Masahiro Nakagawa

Screen transversal lightlike submanifolds of indefinite Kaehler manifolds pp. 1439-1448

Bayram Sahin

Semi-orthogonal frame wavelets and Parseval frame wavelets associated with GMRA pp. 1449-1456

Zhanwei Liu, Guoen Hu, Guochang Wu and Bin Jiang

Optimization of Euclidean distance threshold in the application of recurrence quantification analysis to heart rate variability studies pp. 1457-1467

Hang Ding, Stuart Crozier and Stephen Wilson

A simple model of genetic oscillations through regulated degradation pp. 1468-1482

Samuel Bottani and Basile Grammaticos

Permanence for a class of periodic time-dependent predator–prey system with dispersal in a patchy-environment pp. 1483-1497

Long Zhang and Zhidong Teng

Bifurcation and chaos in multi-degree-of-freedom nonlinear vibration isolation system pp. 1498-1504

Xiang Yu, Shi-Jian Zhu and Shu-Yong Liu

The extended tanh method for new compact and noncompact solutions for the KP–BBM and the ZK–BBM equations pp. 1505-1516

Abdul-Majid Wazwaz

Surrogate test for noise-contaminated dynamics in the Duffing oscillator pp. 1517-1522

Chunbiao Gan and Shimin He

A novel chaotic encryption scheme based on arithmetic coding pp. 1523-1531

Bo Mi, Xiaofeng Liao and Yong Chen

2008, volume 38, articles 4

Effect of noise on fractal structure pp. 921-924

Demitre Serletis

Yang–Mills instanton via exceptional Lie symmetry groups and E-infinity pp. 925-927

M.S. El Naschie

Critical behavior in continuous dimension, ε∞ theory and particle physics pp. 928-935

Ervin Goldfain

Towards a quantum field theory without Gribov copies and similar problems pp. 936-938

M.S. El Naschie

Measurement system for model verification of nonautonomous second-order nonlinear systems pp. 939-948

K. Milicevic, D. Pelin and I. Flegar

New exact travelling wave solutions for the generalized nonlinear Schroedinger equation with a source pp. 949-955

M.A. Abdou

Deriving the largest expected number of elementary particles in the standard model from the maximal compact subgroup H of the exceptional Lie group E7(-5) pp. 956-961

M.S. El Naschie

On the intersection of an m-part uniform Cantor set with its rational translation pp. 962-969

Meifeng Dai and Lixin Tian

On strong forms of completely irresolute functions pp. 970-979

İdris Zorlutuna

From classical gauge theory back to Weyl scaling via E-Infinity spacetime pp. 980-985

M.S. Elnaschie

Two-dimensional black holes and non-commutative spaces pp. 986-989

J. Sadeghi

Quasi exceptional E12 Lie symmetry group with 685 dimensions, KAC-Moody algebra and E-infinity Cantorian spacetime pp. 990-992

M.S. El Naschie

On the 3-dimensional k-Fibonacci spirals pp. 993-1003

Sergio Falcón and Ángel Plaza

On the origin of the anomalous precession of Mercury’s perihelion pp. 1004-1010

Jaume Giné

P-Adic unification of the fundamental forces and the standard model pp. 1011-1012

M.S. El Naschie

Testing for deterministic monetary chaos: Metric and topological diagnostics pp. 1013-1024

John T. Barkoulas

The local dimension of Moran measures satisfying the strong separation condition pp. 1025-1030

Meifeng Dai and Dehua Liu

The internal dynamics of the exceptional Lie symmetry groups hierarchy and the coupling constants of unification pp. 1031-1038

M.S. El Naschie

Automated chirp detection with diffusion entropy: Application to infrasound from sprites pp. 1039-1050

M. Ignaccolo, T. Farges, E. Blanc and M. Füllekrug

Using Witten’s five Brane theory and the holographic principle to derive the value of the electromagnetic fine structure constant α¯0=1/137 pp. 1051-1053

M.S. El Naschie

An enhanced fractal image denoising algorithm pp. 1054-1064

Jian Lu, Zhongxing Ye, Yuru Zou and Ruisong Ye

On the complete chaotic transformations that preserve symmetric invariant densities pp. 1065-1074

Weihong Huang

Sensitivity for set-valued maps induced by M-systems pp. 1075-1080

Bingzhe Hou, Gongfu Liao and Heng Liu

Parallel image encryption algorithm based on discretized chaotic map pp. 1081-1092

Qing Zhou, Kwok-wo Wong, Xiaofeng Liao, Tao Xiang and Yue Hu

Homoclinic orbits for coupled modified nonlinear Schrödinger equations pp. 1093-1103

Ranchao Wu, Wei Jiang and Lei Li

Stability and Hopf bifurcation analysis in a prey–predator system with stage-structure for prey and time delay pp. 1104-1114

Yuanyuan Chen and Song Changming

Impulsive effects on global asymptotic stability of delay BAM neural networks pp. 1115-1125

Jun Chen and Baotong Cui

The tanh and the sine–cosine methods for exact solutions of the MBBM and the Vakhnenko equations pp. 1126-1133

E. Yusufoğlu and A. Bekir

Forced Korteweg-de Vries–Burgers equation in an elastic tube filled with a variable viscosity fluid pp. 1134-1145

Tay Kim Gaik and Hilmi Demiray

Stochastic resonance in an asymmetric bistable system driven by multiplicative colored noise and additive white noise pp. 1146-1151

Bingchang Zhou and Wei Xu

Transient and steady nonlinear responses for a rotor-active magnetic bearings system with time-varying stiffness pp. 1152-1167

Wei Zhang and Jean W. Zu

The dynamical complexity of a Ivlev-type prey–predator system with impulsive effect pp. 1168-1176

Hailing Wang and Weiming Wang

Bifurcations of the limit cycles in a z3-equivariant quartic planar vector field pp. 1177-1186

Yuhai Wu, Yongxi Gao and Maoan Han

A single three-wing or four-wing chaotic attractor generated from a three-dimensional smooth quadratic autonomous system pp. 1187-1196

Zengqiang Chen, Yong Yang and Zhuzhi Yuan

Explicit and exact travelling wave solutions for Konopelchenko–Dubrovsky equation pp. 1202-1208

Bacui Li and Yufeng Zhang

Travelling wave solutions for some time-delayed equations through factorizations pp. 1209-1216

E.S. Fahmy

A note on chaotic synchronization of time-delay secure communication systems pp. 1217-1224

Demin Li, Zidong Wang, Jie Zhou, Fang, Jian’an and Jinjin Ni

Variational iteration method for solving coupled-KdV equations pp. 1225-1228

Laila M.B. Assas

2008, volume 38, articles 3

The standard model physical degrees of freedom interpretation of the electromagnetic fine structure coupling α¯o≃1/137 pp. 609-611

M.S. El Naschie

P-Adic analysis and the transfinite E8 exceptional Lie symmetry group unification pp. 612-614

M.S. El Naschie

Charged superstring attached two different D-branes pp. 615-619

J. Sadeghi, B. Pourhassan and A. Banijamali

A survey on curvatures of Hessian manifolds pp. 620-630

Münevver Yildirim Yilmaz and Mehmet Bektaş

A novel image encryption scheme based on spatial chaos map pp. 631-640

Fuyan Sun, Shutang Liu, Zhongqin Li and Zongwang Lü

Quasi-cycles and sensitive dependence on seed values in edge of chaos behaviour in a class of self-evolving maps pp. 641-649

Brajendra K. Singh, Manoj Gambhir and Chin-Kun Hu

Stability criteria for uncertain neutral systems with interval time-varying delays pp. 650-657

Ker-Wei Yu and Chang-Hua Lien

Global attractivity and permanence of a stage-structured pest management SI model with time delay and diseased pest impulsive transmission pp. 658-668

Jianjun Jiao, Xinzhu Meng and Lansun Chen

Stability and Hopf bifurcation in a ratio-dependent predator–prey system with stage structure pp. 669-684

Rui Xu and Zhien Ma

Experimental investigation of an oscillator with discontinuous support considering different system aspects pp. 685-695

Sandor Divenyi, Marcelo A. Savi, Hans I. Weber and Luiz Fernando P. Franca

Fractal dimension and scale entropy applications in a spray pp. 696-704

L. Le Moyne, V. Freire and D. Queiros Conde

A four-wing chaotic attractor generated from a new 3-D quadratic autonomous system pp. 705-721

Guoyuan Qi, Guanrong Chen, Michaël Antonie van Wyk, Barend Jacobus van Wyk and Yuhui Zhang

Analysis of a Monod–Haldene type food chain chemostat with periodically varying substrate pp. 731-742

Guoping Pang, Fengyan Wang and Lansun Chen

Generalized projective synchronization in time-delayed chaotic systems pp. 743-747

Cun-Fang Feng, Yan Zhang, Jin-Tu Sun, Wei Qi and Ying-Hai Wang

Characterization of welding defects by fractal analysis of ultrasonic signals pp. 748-754

A.P. Vieira, E.P. de Moura, L.L. Gonçalves and J.M.A. Rebello

Interest rate option pricing and volatility forecasting: An application to Brazil pp. 755-763

Marcelo Yoshio Takami and Benjamin Tabak

Security of a key agreement protocol based on chaotic maps pp. 764-768

Song Han

A simple finite-difference stock market model involving intrinsic value pp. 769-777

Jan Melecký and Artur Sergyeyev

Mathematical simulation of oil reservoir properties pp. 778-788

Ana Calderon Ramirez, A. Romero, F. Chavez, F. Carrillo and S. Lopez

Central limit theorem behavior in the skew tent map pp. 789-805

Michael C. Mackey and Marta Tyran-Kamińska

Exponential p-stability of delayed Cohen–Grossberg-type BAM neural networks with impulses pp. 806-818

Yonghui Xia, Zhenkun Huang and Maoan Han

New matrix Lie algebra and its application pp. 819-825

Xiaowu Jiang, Zhu Li and Huanhe Dong

Generation of hyperchaos from the Chen–Lee system via sinusoidal perturbation pp. 826-839

Lap Mou Tam, Juhn Horng Chen, Hsien Keng Chen and Wai Meng Si Tou

The entropies and multifractal spectrum of some compact systems pp. 840-851

Dongkui Ma, Min Wu and Cuijun Liu

Fractal sets determined by dilation-stable processes pp. 852-863

Yanyan Hou, Jiangang Ying and Chaoshou Dai

Suppressing grazing chaos in impacting system by structural nonlinearity pp. 864-869

S.L.T. de Souza, M. Wiercigroch, I.L. Caldas and J.M. Balthazar

Blowout bifurcations in a model for chaos in spin-wave dynamics pp. 870-877

A. Goska and A. Krawiecki

Global exponential stability of fuzzy cellular neural networks with delays and reaction–diffusion terms pp. 878-885

Jian Wang and Jun Guo Lu

Wavelet analysis of cycle-to-cycle pressure variations in an internal combustion engine pp. 886-893

Asok K. Sen, Grzegorz Litak, Rodolfo Taccani and Robert Radu

Method to derive Lagrangian and Hamiltonian for a nonlinear dynamical system with variable coefficients pp. 894-902

Z.E. Musielak, D. Roy and L.D. Swift

EXP-function method and its application to nonlinear equations pp. 903-910

(Benn)Wu, Xu-Hong and Ji-Huan He

Regulating complex dynamics in firms and economic systems pp. 911-919

Michael Kopel, Frank Westerhoff and Cristian Wieland

2008, volume 38, articles 2

Stein spaces in connection with El Naschie’s exceptional Lie groups hierarchies in high energy physics pp. 309-315

L. Marek-Crnjac

On the existence of complex spacetime in relativistic quantum mechanics pp. 316-331

Ciann-Dong Yang

On the phase transition to quarks confinement pp. 332-333

M.S. El Naschie

The Koch curve as a smooth manifold pp. 334-338

Marcelo Epstein and Jędrzej Śniatycki

The effect of modified dispersion relations on the thermodynamics of black-body radiation pp. 339-347

Kourosh Nozari and A.S. Sefidgar

Continuation of periodic orbits in a ZAD-strategy controlled buck converter pp. 348-363

Fabiola Angulo, Gerard Olivar and Alexander Taborda

Qualitative feature extractions of chaotic systems pp. 364-373

T. Vicha and M. Dohnal

The novel solutions of auxiliary equation and their application to the (2+1)-dimensional Burgers equations pp. 374-382

Deng-Shan Wang, Hong-Bo Li and Jike Wang

Symbolic computation and non-travelling wave solutions of (2+1)-dimensional nonlinear evolution equations pp. 383-390

Deng-Shan Wang and Hongbo Li

Stability of fixed points placed on the border in the piecewise linear systems pp. 391-399

Younghae Do, Sang Dong Kim and Phil Su Kim

Series approach to the Lane–Emden equation and comparison with the homotopy perturbation method pp. 400-408

J.I. Ramos

The k-Fibonacci hyperbolic functions pp. 409-420

Sergio Falcón and Ángel Plaza

Stability analyses for axially moving strings in nonlinear free and aerodynamically excited vibrations pp. 421-429

Yuefang Wang, Xuetao Liu and Lihua Huang

On (LC,s)-continuous functions pp. 430-438

Erdal Ekici

A method of improving the properties of digital chaotic system pp. 439-446

Hanping Hu, Ya Xu and Ziqi Zhu

Analysis of stability and Hopf bifurcation for a delay-differential equation model of HIV infection of CD4+ T-cells pp. 447-460

Xiaowu Jiang, Xueyong Zhou, Xiangyun Shi and Xinyu Song

Coexistence of anti-phase and complete synchronization in coupled chen system via a single variable pp. 461-464

Chuandong Li, Qián Chen and Tingwen Huang

Solitons with and without propagating behaviors in Broer–Kaup system via an object reduction approach pp. 465-473

Chun-Long Zheng and Jian-Ping Fang

Semifoldons with fusion and fission properties of (2+1)-dimensional nonlinear system pp. 474-480

Chaoqing Dai

Traveling wave behavior for a generalized fisher equation pp. 481-488

Zhaosheng Feng

Global exponential stability of BAM neural networks with transmission delays and nonlinear impulses pp. 489-498

Zhenkun Huang and Yonghui Xia

The computational formula on the constant γ appeared in the equivalently used trace identity and quadratic-form identity pp. 499-505

Fukui Guo and Yufeng Zhang

The application of homotopy analysis method to thin film flows of a third order fluid pp. 506-515

M. Sajid and T. Hayat

A generalised Verhulst model of a population subject to seasonal change in both carrying capacity and growth rate pp. 516-520

J.H. Swart and H.C. Murrell

Control spiral and multi-spiral wave in the complex Ginzburg–Landau equation pp. 521-530

Jun Ma, Ji-Hua Gao, Chun-Ni Wang and Jun-Yan Su

Control of chaotic oscillators via a class of model free active controller: Suppresion and synchronization pp. 531-540

Ricardo Aguilar-López and Rafael Martı´nez-Guerra

Expansion of the Lie algebras and integrable couplings pp. 541-547

Wang Yan and Yufeng Zhang

A new multi-component hierarchy and its integrable expanding model pp. 548-555

Huanhe Dong and Xiangqian Liang

Heat transfer analysis on the MHD flow of a second grade fluid in a channel with porous medium pp. 556-567

T. Hayat and Z. Abbas

Easy computational approach to solution of system of linear Fredholm integral equations pp. 568-574

A. Golbabai and B. Keramati

Bautin bifurcation in a class of two-neuron networks with resonant bilinear terms pp. 575-589

Xiaofan Yang, Maobin Yang, Huaiyi Liu and Xiaofeng Liao

The effect of symmetry-breaking on the parameterically excited pendulum pp. 590-597

Peipei Zhou and Hongjun Cao

An isospectral transformation and the related integrable hierarchies of soliton equations pp. 598-607

Li Li

2008, volume 38, articles 1

Hadron mass, Regge pole model and E-infinity theory pp. 1-15

Yosuke Tanaka

Complex dynamics in diatomic molecules. Part II: Quantum trajectories pp. 16-35

Ciann-Dong Yang and Hung- Jen Weng

Modified intuitionistic fuzzy metric spaces and some fixed point theorems pp. 36-47

R. Saadati, S. Sedghi and N. Shobe

Long-wave short-wave resonance case for a generalized Davey–Stewartson system pp. 48-54

Ceni Babaoglu

Strong resonance and chaos in a single-species chemostat model with periodic pulsing of resource pp. 55-69

Damon J.A. Toth

Qualitative identification of chaotic systems behaviours pp. 70-78

T. Vicha and M. Dohnal

Generalization of weakly clopen and strongly θ-b-continuous functions pp. 79-88

Erdal Ekici

Existence and uniqueness of limit cycle for a class of nonlinear discrete-time systems pp. 89-96

Yeong-Jeu Sun

Generalized synchronization via impulsive control pp. 97-105

Rong Zhang, Zhenyuan Xu, Simon X. Yang and Xueming He

Robust synchronization and parameter identification on a class of uncertain chaotic systems pp. 106-111

Liqun Shen and Mao Wang

On new solutions of fuzzy differential equations pp. 112-119

Y. Chalco-Cano and H. Román-Flores

Impulsive synchronization of different hyperchaotic (chaotic) systems pp. 120-131

Mohammad Haeri and Mahsa Dehghani

The Cramer-Rao bound for initial conditions estimation of chaotic orbits pp. 132-139

Marcio Eisencraft and Luiz Antonio Baccalá

A note on the fractional-order Chua’s system pp. 140-147

Ivo Petráš

Uniform convergence and transitivity pp. 148-153

Heriberto Román-Flores

Some periodic and solitary travelling-wave solutions of the short-pulse equation pp. 154-159

E.J. Parkes

Robust stability criteria for uncertain neutral system with time delay and nonlinear uncertainties pp. 160-167

Jinhui Zhang, Peng Shi and Jiqing Qiu

Adaptive control of chaotic systems with stochastic time varying unknown parameters pp. 168-177

Hassan Salarieh and Aria Alasty

Novel frequency-domain criterion for elimination of limit cycles in a class of digital filters with single saturation nonlinearity pp. 178-183

Vimal Singh

Numerical approximations of a class of switch dynamical systems pp. 184-191

Marius-F. Danca

Nonlinear robust digital controller based on fuzzy model for homing missiles pp. 192-198

Cheng-Shion Shieh

Robust model predictive control for norm-bounded uncertain systems using new parameter dependent terminal weighting matrix pp. 199-208

S.M. Lee and Ju H. Park

Reliable analysis for obtaining exact soliton solutions of nonlinear Schrödinger (NLS) equation pp. 209-212

Turgut Öziş and Ahmet Yıldırım

Image encryption based on a new total shuffling algorithm pp. 213-220

Tiegang Gao and Zengqiang Chen

Global stability of a delayed SIRS model with temporary immunity pp. 221-226

Luosheng Wen and Xiaofan Yang

Stability and Hopf bifurcation for a delayed cooperation diffusion system with Dirichlet boundary conditions pp. 227-237

Wan-Tong Li, Xiang-Ping Yan and Cun-Hua Zhang

Integrable vortex dynamics in anisotropic planar spin liquid model pp. 238-253

Zeynep Nilhan Gurkan and Oktay Pashaev

Multi-switching synchronization of chaotic systems with active controllers pp. 254-262

Ahmet Uçar, Karl E. Lonngren and Er-Wei Bai

A large parallel block predictor–corrector method for initial value problems pp. 263-269

Salman H. Abbas

Application of Exp-function method to high-dimensional nonlinear evolution equation pp. 270-276

Sheng Zhang

Collective motion of a class of social foraging swarms pp. 277-292

Bo Liu, Tianguang Chu, Long Wang and Zhanfeng Wang

Testing for time-varying long-range dependence in real state equity returns pp. 293-307

Daniel Cajueiro and Benjamin Tabak