Chaos, Solitons & Fractals

2002 - 2025

Current editor(s): Stefano Boccaletti and Stelios Bekiros

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2008, volume 36, articles 5

Quantum golden field theory – Ten theorems and various conjectures pp. 1121-1125

M.S. El Naschie

Sample period selection and long-term dependence: New evidence from the Dow Jones index pp. 1126-1140

Jonathan Batten, Craig A. Ellis and Thomas A. Fethertson

A new model-free sliding observer to synchronization problem pp. 1141-1156

Rafael Martínez-Guerra, Wen Yu and Enrique Cisneros-Saldaña

Correlation analysis of chaotic trajectories from Chua’s system pp. 1157-1169

Jose Alvarez-Ramirez, Eduardo Rodriguez, Juan Carlos Echeverria and Hector Puebla

A new look at quarks confinement pp. 1170-1172

M.S. El Naschie

Event recognition by detrended fluctuation analysis: An application to Teide–Pico Viejo volcanic complex, Tenerife, Spain pp. 1173-1180

Enrico Del Pin, Roberto Carniel and Marta Tárraga

Exact solutions for a class of nonlinear evolution equations: A unified ansätze approach pp. 1181-1188

S.A. Khuri

One and two-stein space hierarchies in high energy physics pp. 1189-1190

M.S. El Naschie

The intermittent behavior of a second-order non-linear non-autonomous oscillator pp. 1191-1199

S.G. Stavrinides, N.C. Deliolanis, Th. Laopoulos, I.M. Kyprianidis, A.N. Miliou and A.N. Anagnostopoulos

On a canonical equation for all fundamental interactions pp. 1200-1204

M.S. El Naschie

Nonexistence results for a fractional problem arising in thermal diffusion in fractal media pp. 1205-1214

Nasser-eddine Tatar

Tubes in dynamical systems pp. 1215-1224

Y. Charles Li

Some functions defined by semi-open and β-open sets pp. 1225-1231

Yusuf Beceren and Takashi Noiri

Theoretical studies on solid heterogenous targets thickness in muon catalyzed fusion using transport theory and its comparison with available experimental values pp. 1232-1243

K.R. Shirazi

On locally closedness and continuity pp. 1244-1255

Erdal Ekici

Exact solitary wave solution of Boussinesq equation by VIM pp. 1256-1260

M. Javidi and Y. Jalilian

Controlling the nonlinear chemical signal in a coupled system by delay pp. 1261-1266

Lin Ji and Wei Guo Xu

Nonlinear vibration analysis of tapered Timoshenko beams pp. 1267-1272

Minmao Liao and Hongzhi Zhong

Allowed planetary orbits in the solar system pp. 1273-1282

P. Pintr, V. Peřinová and A. Lukš

Construction of a series of travelling wave solutions to nonlinear equations pp. 1283-1294

Hong Zhao

Chaos synchronization in noisy environment using nonlinear filtering and sliding mode control pp. 1295-1304

Mehdi Behzad, Hassan Salarieh and Aria Alasty

Nonlinear dynamics and chaos in a fractional-order financial system pp. 1305-1314

Wei-Ching Chen

Analysis of a 3D chaotic system pp. 1315-1319

Gheorghe Tigan and Dumitru Opriş

An impulsive predator–prey system with modified Leslie–Gower and Holling type II schemes pp. 1320-1331

Hongjian Guo and Xinyu Song

Synchronization of FitzHugh–Nagumo systems in EES via H∞ variable universe adaptive fuzzy control pp. 1332-1339

Jiang Wang, Zhen Zhang and Huiyan Li

Periodic motions and bifurcations of a vibro-impact system pp. 1340-1347

Guanwei Luo, Jianhua Xie, Xifeng Zhu and Jiangang Zhang

A new compound Riccati equations rational expansion method and its application to the (2+1)-dimensional asymmetric Nizhnik–Novikov–Vesselov system pp. 1348-1356

Li-Na Song, Qi Wang and Hong-Qing Zhang

Some criteria for robust stability of Cohen–Grossberg neural networks with delays pp. 1357-1365

WeiLi Xiong and BaoGuo Xu

Chaos and Hopf bifurcation of a hybrid ratio-dependent three species food chain pp. 1366-1376

Fengyan Wang and Guoping Pang

Control for dynamics of two coupled Bose–Einstein condensate solitons by potential deviation pp. 1377-1384

Hong Li and D.N. Wang

Hopf bifurcation analysis of the Liu system pp. 1385-1391

Xiaobing Zhou, Yue Wu, Yi Li and Zhengxi Wei

A model proposal for the chaotic structure of Istanbul stock exchange pp. 1392-1398

Müge Iseri, Hikmet Caglar and Nazan Caglar

Two-to-one quantum teleportation protocol and its application pp. 1399-1404

C.Y. Chen, C.C. Hsueh and C.C. Hsu

Further accuracy tests on Adomian decomposition method for chaotic systems pp. 1405-1411

O. Abdulaziz, N.F.M. Noor, I. Hashim and M.S.M. Noorani

Solitary wave solution for inhomogeneous nonlinear Schrödinger system with loss/gain pp. 1412-1418

P. Shanmugha Sundaram, A. Mahalingam and T. Alagesan

A novel methodology for uncertain nonlinear tracking control systems: Exponential convergence manifold approach pp. 1419-1424

Yeong-Jeu Sun

Synchronization of van der Pol oscillator and Chen chaotic dynamical system pp. 1425-1435

E.M. Elabbasy and M.M. El-Dessoky

2008, volume 36, articles 4

Transfinite harmonization by taking the dissonance out of the quantum field symphony pp. 781-786

M.S. El Naschie

Tsunamis from nature to physics pp. 787-796

M.A. Helal and M.S. Mehanna

Application of fractal theory to top-coal caving pp. 797-807

H. Xie and H.W. Zhou

On dualities between Nordstrom-Kaluza–Klein, Newtonian and quantum gravity pp. 808-810

M.S. El Naschie

Tumor growth in the space–time with temporal fractal dimension pp. 811-818

Marcin Molski and Jerzy Konarski

A derivation of the fine structure constant from the exceptional Lie group hierarchy of the micro cosmos pp. 819-822

M.S. El Naschie

On multistage homotopy-perturbation method applied to nonlinear biochemical reaction model pp. 823-827

I. Hashim, M.S.H. Chowdhury and S. Mawa

Tensile-compressive asymmetry influence on shape memory alloy system dynamics pp. 828-842

Marcelo A. Savi, Milton A.N. Sá, Alberto Paiva and Pedro M.C.L. Pacheco

Controlling chaos and chaotification in the Chen–Lee system by multiple time delays pp. 843-852

Juhn-Horng Chen

Excitable systems with internal and coupling delays pp. 853-861

Nikola Burić, Ines Grozdanović and Nebojša Vasović

Determining nonchaotic parameter regions in some simple chaotic jerk functions pp. 862-873

Fu Zhang, Jack Heidel and Richard Le Borne

A unified lattice Boltzmann model for some nonlinear partial differential equations pp. 874-882

Zhenhua Chai, Baochang Shi and Lin Zheng

Convexity in triangular norm of fuzzy sets pp. 883-889

Kourosh Nourouzi and Asadollah Aghajani

Spike trains in Hodgkin–Huxley model and ISIs of acupuncture manipulations pp. 890-900

Jiang Wang, Wenjie Si, Yanqiu Che and Xiangyang Fei

Synchronization regimes for two coupled noisy Liénard-type driven oscillators pp. 901-910

A.M. dos Santos, S.R. Lopes and R.L. Viana

The dynamic complexity of a host–parasitoid model with a lower bound for the host pp. 911-919

Songjuan Lv and Min Zhao

Global exponential stability conditions for generalized state-space systems with time-varying delays pp. 920-927

Ker-Wei Yu and Chang-Hua Lien

Fourier series in solutions of Poincaré and Schröder equations pp. 928-933

Mitja Lakner, Peter Petek and Marjeta Škapin-Rugelj

Chaotic behavior in the disorder cellular automata pp. 934-939

Jing-Yuan Ko, Yao-Chen Hung, Ming-Chung Ho and I-Min Jiang

New explicit travelling wave solutions of nonlinearly dispersive Boussinesq equations pp. 940-945

Liang Gao, Wei Xu, Jianwei Shen and Yaning Tang

Color image authentication based on spatiotemporal chaos and SVD pp. 946-952

Zhenni Peng and Wenbo Liu

The integrable couplings of the generalized coupled Burgers hierarchy and its Hamiltonian structures pp. 953-960

Fucai You and Tiecheng Xia

Fundamental solutions to three-dimensional diffusion-wave equation and associated diffusive stresses pp. 961-972

Y.Z. Povstenko

Chaos control and synchronization in a fractional neuron network system pp. 973-984

Shangbo Zhou, Hua Li and Zhengzhou Zhu

Delay-dependent exponential stability criteria for non-autonomous cellular neural networks with time-varying delays pp. 985-990

Qiang Zhang, Xiaopeng Wei and Jin Xu

Coexistence of synchronized and desynchronized patterns in coupled chaotic dynamical systems pp. 991-1018

P. Palaniyandi, P. Muruganandam and M. Lakshmanan

How fractal is dancing? pp. 1019-1027

Melkon Tatlier and Rana Şuvak

A novel heuristic method for obtaining S-boxes pp. 1028-1036

Guo Chen

Uniformly constructing a series of exact solutions for (2+1)-dimensional stochastic Broer–Kaup system pp. 1037-1043

Qing Liu

On global exponential stability and existence of periodic solutions for BAM neural networks with distributed delays and reaction–diffusion terms pp. 1044-1054

Xuyang Lou, Baotong Cui and Wei Wu

Internal crisis in a second-order non-linear non-autonomous electronic oscillator pp. 1055-1061

S.G. Stavrinides, N.C. Deliolanis, A.N. Miliou, Th. Laopoulos and A.N. Anagnostopoulos

The networks scale and coupling parameter in synchronization of neural networks with diluted synapses pp. 1062-1066

Yan-Long Li, Jun Ma, Yu-Hong Chen, Wen-Ke Xu and Ying-Hai Wang

Qualitative analysis of the (N+1)-body ring problem pp. 1067-1088

Roberto Barrio, Fernando Blesa and Sergio Serrano

A new approach to dynamic noise on superior Mandelbrot set pp. 1089-1096

Ashish Negi and Mamta Rani

Applications of chaos control techniques to a three-species food chain pp. 1097-1107

A.A. Gomes, E. Manica and M.C. Varriale

Exactly fractional solutions of the (2+1)-dimensional modified KP equation via some fractional transformations pp. 1108-1112

Fuding Xie and Zhenya Yan

An extended trace identity and applications pp. 1113-1119

Fukui Guo and Yufeng Zhang

2008, volume 36, articles 3

Exceptional Lie groups hierarchy, orthogonal and unitary groups in connection with symmetries of E-infinity space-time pp. 517-520

L. Marek-Crnjac

Asymptotic freedom and unification in a golden quantum field theory pp. 521-525

M.S. El Naschie

Scale and conformal invariance in curved space with variation of the metric pp. 526-531

J. Sadeghi and A. Banijamali

The Hausdorff and box-counting dimensions of a class of recurrent sets pp. 532-538

Meifeng Dai and Xi Liu

On a transfinite symmetry group with 10 to the power of 19 dimensions pp. 539-541

M.S. El Naschie

String theory in a scale dependent discontinuous space–time pp. 542-545

Ji-Huan He

Freudental magic square and its dimensional implication for α¯0≃137 and high energy physics pp. 546-549

M.S. El Naschie

Nonlinear analysis of an extended traffic flow model in ITS environment pp. 550-558

Lei Yu and Zhongke Shi

On a family of maps with multiple chaotic attractors pp. 559-571

Hendrik Richter

The estimation of simultaneous approximation order for neural networks pp. 572-580

Fengjun Li and Zongben Xu

Solitary smooth hump solutions of the Camassa–Holm equation by means of the homotopy analysis method pp. 581-591

S. Abbasbandy and E.J. Parkes

Chaos excited chaos synchronizations of integral and fractional order generalized van der Pol systems pp. 592-604

Zheng-Ming Ge and Mao-Yuan Hsu

Dynamic modeling of flexible multibody systems with parameter uncertainty pp. 605-611

Shu-Xin Wang, Yan-Hui Wang and Bai-Yan He

Stability and bifurcation of a discrete BAM neural network model with delays pp. 612-616

Baodong Zheng, Yang Zhang and Chunrui Zhang

LMI optimization approach on robustness and H∞ control analysis for observer-based control of uncertain systems pp. 617-627

Chang-Hua Lien and Ker-Wei Yu

Zakharov–Kuznetsov–Burgers equation for dust ion acoustic waves pp. 628-634

Waleed M. Moslem and R. Sabry

Experimental mastering of nonlinear dynamics in circuits by sporadic pulses pp. 635-645

P. Ruiz, J.M. Gutiérrez and J. Güémez

Soliton solutions of the (2+1)-dimensional Harry Dym equation via Darboux transformation pp. 646-653

A.A. Halim

Randomly modulated periodicity in the US stock market pp. 654-659

Melvin Hinich and Apostolos Serletis

Application of variational iteration method to the generalized Burgers–Huxley equation pp. 660-663

B. Batiha, M.S.M. Noorani and I. Hashim

Recurrence quantification analysis in Liu’s attractor pp. 664-670

Francisco Balibrea, M. Victoria Caballero and Lourdes Molera

Degeneration of magnetic states of the order parameter relative to the boundary conditions and discrete energy spectrum in ferromagnetic and antiferromagnetic nanotubes pp. 671-676

O.Yu. Gorobets

Suppression of limit cycles in second-order companion form digital filters with saturation arithmetic pp. 677-681

Vimal Singh

Stabilizing periodic orbits of chaotic systems using fuzzy control of Poincaré map pp. 682-693

Mohammad Bonakdar, Mostafa Samadi, Hassan Salarieh and Aria Alasty

Anti-control of chaos of a permanent magnet DC motor system for vibratory compactors pp. 694-708

Zheng Wang and K.T. Chau

Global stabilization of the new chaotic system based on small-gain theorem pp. 709-714

De-Bin Liu and Xiao-Song Yang

A study of singularities for magnetic bearing systems with time delays pp. 715-719

Weihua Jiang, Hongbin Wang and Junjie Wei

Novel criteria for global exponential periodicity and stability of recurrent neural networks with time-varying delays pp. 720-728

Qiankun Song

Boundedness and permanence in a class of periodic time-dependent predator–prey system with prey dispersal and predator density-independence pp. 729-739

Long Zhang and Zhidong Teng

Bifurcation and chaos of atomic-force-microscope probes driven in Lennard–Jones potentials pp. 740-745

Qing-Quan Hu and Li-Qun Chen

Chaos induced by heteroclinic cycles connecting repellers in complete metric spaces pp. 746-761

Zongcheng Li, Yuming Shi and Chao Zhang

The extended hyperbolic function method and exact solutions of the long–short wave resonance equations pp. 762-771

Yadong Shang

Stability analysis of the kicked harmonic oscillator’s accelerator modes pp. 772-780

G.A. Kells, J. Twamley and D.M. Heffernan

2008, volume 36, articles 2

Deriving quarks confinement from the topology of quantum spacetime and heterotic string theory pp. 193-195

M.S. El Naschie

Weakly nonlinear waves in a fluid with variable viscosity contained in a prestressed thin elastic tube pp. 196-202

Hilmi Demiray

Multivalued fractals and generalized multivalued contractions pp. 203-210

Cristian Chifu and Adrian Petruşel

Complete inverse chaos synchronization, parameter mismatches and generalized synchronization in the multi-feedback Ikeda model pp. 211-216

E.M. Shahverdiev, R.A. Nuriev, L.H. Hashimova, E.M. Huseynova, R.H. Hashimov and K.A. Shore

Fuzzy upper bounds and their applications pp. 217-225

M. Soleimani-damaneh

New Julia sets for complex Carotid–Kundalini function pp. 226-236

Mamta Rani and Ashish Negi

Midgets of superior Mandelbrot set pp. 237-245

Ashish Negi and Mamta Rani

Fractal and statistical analysis on digits of irrational numbers pp. 246-252

Dejian Lai and Marius-F. Danca

New soliton structures with non-propagating behavior in three-dimensional system pp. 253-262

Cheng-Lin Bai

Bohmian quantum mechanical and classical Lyapunov exponents for kicked rotor pp. 263-270

Yindong Zheng and Donald H. Kobe

Reduced equations of the self-dual Yang–Mills equations and applications pp. 271-277

Yufeng Zhang, Honwah Tam and Wei Jiang

Compactons and noncompactons to three-dimensional Kadomtsev–Petviashvili equation with nonlinear dispersion pp. 278-282

Fuding Xie and Zhenya Yan

Conditions ensuring that hyperspace dynamical systems contain subsystems topologically (semi-)conjugate to symbolic dynamical systems pp. 283-289

Yangeng Wang and Guo Wei

Integrable couplings of the multi-component Dirac hierarchy and its Hamiltonian structure pp. 290-295

Zhu Li and Huanhe Dong

The discrete modified Korteweg–de Vries equation with non-vanishing boundary conditions: Interactions of solitons pp. 296-302

E.C.M. Shek and K.W. Chow

Application of Fibonacci tane function to nonlinear differential-difference equations pp. 303-308

Zheng-Yi Ma, Ya-Hong Hu and Jia-Cheng Lan

Exact and numerical solitary wave solutions of generalized Zakharov equation by the variational iteration method pp. 309-313

M. Javidi and A. Golbabai

Quantifying flow structure in vortex chamber using fractal dimension pp. 314-321

Ali Reza Gheisi and Ali Reza Keshavarzi

Convex sets in probabilistic normed spaces pp. 322-328

Asadollah Aghajani and Kourosh Nourouzi

Adaptive synchronization of a unified chaotic system pp. 329-333

Yongguang Yu

Allee effect in a prey–predator system pp. 334-342

Despina Hadjiavgousti and Simos Ichtiaroglou

The extended Fan sub-equation method and its applications for a class of nonlinear evolution equations pp. 343-353

S.A. El-Wakil and M.A. Abdou

Complex dynamics of the generic and brand advertising strategies in duopoly pp. 354-358

Jie Qi, Yongsheng Ding and Liang Chen

Applications of the generalized algebraic method to special-type nonlinear equations pp. 359-369

Hong Zhao

An extension of the notion of topological entropy pp. 370-373

M. Malziri and M.R. Molaei

Projective planes over “Galois” double numbers and a geometrical principle of complementarity pp. 374-381

Metod Saniga and Michel Planat

Impulsive current-induced superconducting junction in spatially broken symmetry of fluxons pp. 382-387

Sameer Al-Khawaja

Global stability of stochastic high-order neural networks with discrete and distributed delays pp. 388-396

Zidong Wang, Fang, Jian’an and Xiaohui Liu

Interpreting mathematics in physics: Charting the applications of SU(2) in 20th century physics pp. 397-404

Ronald Anderson and G.C. Joshi

Entropy squeezing of time dependent single-mode Jaynes–Cummings model in presence of non-linear effect pp. 405-417

M. Sebawe Abdalla, A.-S.F. Obada and S. Abdel-Khalek

A patchwork approach to stochastic simulation: A route towards the analysis of morphology in multiphase systems pp. 418-436

Ayoub El Ouassini, Antoine Saucier, Denis Marcotte and Basil D. Favis

Novel types of interactions between solitons in the (2+1)-dimensional asymmetric Nizhnik–Novikov–Veselov system pp. 437-445

Chaoqing Dai, Fengqin Liu and Jiefang Zhang

Integrable couplings of the Tu hierarchy and its Hamiltonian structure pp. 446-451

Zhu Li and Huanhe Dong

Stabilization at almost arbitrary points for chaotic systems pp. 452-459

Cheng-Sea Huang, Kuang-Yow Lian, Chien-Hsing Su and Jinn-Wen Wu

Adaptive control for a class of chaotic systems with nonlinear inputs and disturbances pp. 460-468

Kuo-Ming Chang

Global robust dissipativity for integro-differential systems modeling neural networks with delays pp. 469-478

Xu Yang Lou and Bao Tong Cui

Robust passive control for Internet-based switching systems with time-delay pp. 479-486

Zhi-Hong Guan, Hao Zhang and Shuang-Hua Yang

Existence of positive periodic solution of mutualism system with several delays pp. 487-493

Haihui Wu, Yonghui Xia and Muren Lin

Chaotic signal-induced dynamics of degenerate optical parametric oscillator pp. 494-499

Ma Jun, Jin Wu-Yin and Li Yan-Long

Study of bifurcation behavior of two-dimensional turbo product code decoders pp. 500-511

Yejun He, Francis C.M. Lau and Chi Tse

The influence of noise on nonlinear time series detection based on Volterra–Wiener–Korenberg model pp. 512-516

Min Lei and Guang Meng

2008, volume 36, articles 1

High energy physics and the standard model from the exceptional Lie groups pp. 1-17

M.S. El Naschie

Experimental observations on the nonlinear behaviors of DFB semiconductor lasers under external optical injection pp. 18-24

Huijun Kong, Zhengmao Wu, Jiagui Wu, Yingke Xie, Xiaodong Lin and Guangqiong Xia

Closed periodic orbits of convective solutions in rapidly rotating system: Double torus knots and links, DTK pp. 25-31

A.A. Abdulrahman and E.A. Elrifai

Symbolic sequence analysis using approximated partition pp. 32-41

Christophe Letellier

On a major exceptional Lie symmetry groups hierarchy and quantum gravity pp. 42-44

M.S. El Naschie

Synchronization of a modified Chua’s circuit system via adaptive sliding mode control pp. 45-52

Jun-Juh Yan, Jui-Sheng Lin and Teh-Lu Liao

Comparison differential transformation technique with Adomian decomposition method for linear and nonlinear initial value problems pp. 53-65

I.H. Abdel-Halim Hassan

A new technique of ECG analysis and its application to evaluation of disorders during ventricular tachycardia pp. 66-72

A.V. Moskalenko, A.V. Rusakov and Yu.E. Elkin

Bounce of a particle: Oblique impact on structured surfaces pp. 73-81

Hamid El hor and Stefan J. Linz

Detecting long-range correlations of traffic time series with multifractal detrended fluctuation analysis pp. 82-90

Pengjian Shang, Yongbo Lu and Santi Kamae

Global exponential robust periodicity and stability of interval neural networks with both variable and unbounded delays pp. 91-97

Zhenjiang Zhao

Chaos in the Newton–Leipnik system with fractional order pp. 98-103

Long-Jye Sheu, Hsien-Keng Chen, Juhn-Horng Chen, Lap-Mou Tam, Wen-Chin Chen, Kuang-Tai Lin and Yuan Kang

On the behavior of some extension forms of some population models pp. 104-114

H. El-Metwally and M.M. El-Afifi

Tangents-free property in invariant disk packings generated by some general planar piecewise isometries pp. 115-120

Xin-Chu Fu, Shu-Liang Shui and Li-Guo Yuan

Global chaos synchronization of the parametrically excited Duffing oscillators by linear state error feedback control pp. 121-128

Xiaofeng Wu, Jianping Cai and Muhong Wang

Convex models and probabilistic approach of nonlinear fatigue failure pp. 129-137

Zhiping Qiu, Qiang Lin and Xiaojun Wang

Numerical solution of the Laplace equation in annulus by Adomian decomposition method pp. 138-143

Reza Memarbashi

Liquid mixing enhancement by chaotic perturbations in stirred tanks pp. 144-149

Zhong Zhang and Guanrong Chen

Critical behavior of the Lyapunov exponent in type-III intermittency pp. 150-156

O. Alvarez-Llamoza, M.G. Cosenza and G.A. Ponce

Identifying an unknown function in a parabolic equation with overspecified data via He’s variational iteration method pp. 157-166

Mehdi Dehghan and Mehdi Tatari

Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order pp. 167-174

Zaid Odibat and Shaher Momani

Analytic study on the one and two spatial dimensional potential KdV equations pp. 175-181

Abdul-Majid Wazwaz

Homotopy perturbation method for heat transfer flow of a third grade fluid between parallel plates pp. 182-192

A.M. Siddiqui, A. Zeb, Q.K. Ghori and A.M. Benharbit