Chaos, Solitons & Fractals

2002 - 2025

Current editor(s): Stefano Boccaletti and Stelios Bekiros

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2006, volume 30, articles 5

Fuzzy Dodecahedron topology and E-infinity spacetime as a model for quantum physics pp. 1025-1033

M.S. El Naschie

Stochastic resonance with different periodic forces in overdamped two coupled anharmonic oscillators pp. 1034-1047

V.M. Gandhimathi, K. Murali and S. Rajasekar

Limit cycles in generalized Liénard systems pp. 1048-1068

P. Yu and M. Han

Controlling chaos based on an adaptive adjustment mechanism pp. 1069-1073

Yongai Zheng

Evolving to the edge of chaos: Chance or necessity? pp. 1074-1087

Vikas Rai and Ranjit Kumar Upadhyay

A detailed study of the generation of optically detectable watermarks using the logistic map pp. 1088-1097

Aidan Mooney, John G. Keating and Daniel M. Heffernan

Single-mode control and chaos of cantilever beam under primary and principal parametric excitations pp. 1098-1121

A.F. El-Bassiouny

Optimal control and synchronization of Lorenz system with complete unknown parameters pp. 1122-1132

Awad El-Gohary and Ammar Sarhan

Adaptive synchronization of a hyperchaotic system with uncertain parameter pp. 1133-1142

E.M. Elabbasy, H.N. Agiza and M.M. El-Dessoky

A new chaotic cryptosystem pp. 1143-1152

Jun Wei, Xiaofeng Liao, Kwok-wo Wong and Tao Xiang

Analysis of a type of nonsmooth dynamical systems pp. 1153-1164

Guofeng Zhang, Guanrong Chen, Tongwen Chen and Yanping Lin

New global robust stability results for delayed cellular neural networks based on norm-bounded uncertainties pp. 1165-1171

Vimal Singh

Codimension-two bifurcation analysis on firing activities in Chay neuron model pp. 1172-1179

Lixia Duan and Qishao Lu

On Puu’s incomplete information formulation for the standard and multi-team Bertrand game pp. 1180-1184

E. Ahmed, M.F. Elettreby and A.S. Hegazi

Interaction of nonlinear waves governed by Boussinesq equation pp. 1185-1189

Hilmi Demiray

Asymptotic solution of wave front of the telegraph model of dispersive variability pp. 1190-1197

H.A. Abdusalam

From lag synchronization to pattern formation in one-dimensional open flow models pp. 1198-1205

Zengrong Liu and Jigui Luo

Application of He’s homotopy perturbation method for Laplace transform pp. 1206-1212

S. Abbasbandy

The periodic wave solutions for the (2+1)-dimensional Konopelchenko–Dubrovsky equations pp. 1213-1220

Zhang Sheng

Homotopy–perturbation method for pure nonlinear differential equation pp. 1221-1230

L. Cveticanin

Gradual degradation in the supercurrent state of a chaotic superconducting tunnel junction under time-varying perturbation pp. 1231-1237

Sameer Al-Khawaja

Peakons and periodic cusp wave solutions in a generalized Camassa–Holm equation pp. 1238-1249

Lijun Zhang, Li-Qun Chen and Xuwen Huo

Deterministic integer multiple firing depending on initial state in Wang model pp. 1250-1259

Yong Xie, Jian-Xue Xu and Jun Jiang

On the scenario of reconnection in non-twist cubic maps pp. 1260-1264

Gheorghe Tigan

Designing synchronization schemes for chaotic fractional-order unified systems pp. 1265-1272

Junwei Wang and Yanbin Zhang

Chaotic secure communication based on particle filtering pp. 1273-1280

Bai Zhang, Maoyin Chen and Donghua Zhou

2006, volume 30, articles 4

Nanotechnology for the developing world pp. 769-773

M. Saladin El Naschie

A model of biological neuron with terminal chaos and quantum-like features pp. 774-780

Elio Conte, GianPaolo Pierri, Antonio Federici, Leonardo Mendolicchio and Joseph P. Zbilut

Some special solutions of a generalized Davey–Stewartson system pp. 781-790

Ceni Babaoglu

An atomistic simulation method combining molecular dynamics with finite element technique pp. 791-796

H.A. Wu, G.R. Liu, X. Han and X.X. Wang

Decomposition to the modified Jaulent–Miodek hierarchy pp. 797-803

Jinbing Chen and Xianguo Geng

Finite symmetry transformation groups and exact solutions of Lax integrable systems pp. 804-821

S.Y. Lou and Hong-Cai Ma

Stability and chaotic dynamics of a perturbed rate gyro pp. 822-835

Heng-Hui Chen

A calculation of geodesics in chaotic flat space and its folding pp. 836-844

A.E. El-Ahmady and H. Rafat

Hopf bifurcations of a variable yield chemostat model with inhibitory exponential substrate uptake pp. 845-850

Guifang Fu and Wanbiao Ma

Chebyshev finite difference method for the effects of variable viscosity and variable thermal conductivity on heat transfer to a micro-polar fluid from a non-isothermal stretching sheet with suction and blowing pp. 851-858

S.N. Odda and A.M. Farhan

The Hausdorff measure of chaotic sets of adjoint shift maps pp. 859-863

Wang Huoyun and Song Wangan

Parallel solution of linear system of equations using a column oriented approach pp. 864-874

Salman H. Abbas

Complex emergent dynamics of anisotropic swarms: Convergence vs oscillation pp. 875-885

Tianguang Chu, Long Wang, Tongwen Chen and Shumei Mu

Robust stability analysis of generalized neural networks with discrete and distributed time delays pp. 886-896

Zidong Wang, Huisheng Shu, Yurong Liu, Daniel W.C. Ho and Xiaohui Liu

On global stability criterion for neural networks with discrete and distributed delays pp. 897-902

Ju H. Park

Global synchronization of a class of delayed complex networks pp. 903-908

Ping Li, Zhang Yi and Lei Zhang

Waves in three-dimensional simple cubic lattice pp. 909-919

Xiao-yun Wang, Wen-shan Duan, Mai-mai Lin and Gui-xin Wan

Noise-induced chaos in a quadratically nonlinear oscillator pp. 920-929

Chunbiao Gan

Detection of harmonic signals from chaotic interference by empirical mode decomposition pp. 930-935

H.G. Li and G. Meng

A dynamic P53-MDM2 model with time delay pp. 936-945

Gh.I. Mihalaş, M. Neamţu, D. Opriş and R.F. Horhat

New function of Mittag–Leffler type and its application in the fractional diffusion-wave equation pp. 946-955

Rui Yu and Hongqing Zhang

The bifurcation and peakon for Degasperis–Procesi equation pp. 956-966

Liqin Yu, Lixin Tian and Xuedi Wang

Existence and multiplicity results for a class of p-Laplacian problems with Neumann–Robin boundary conditions pp. 967-973

G.A. Afrouzi and M. Khaleghy Moghaddam

Travelling wave and convergence in stage-structured reaction–diffusion competitive models with nonlocal delays pp. 974-992

Rui Xu, M.A.J. Chaplain and F.A. Davidson

Two types of new integrable decompositions of the Kaup–Newell equation pp. 993-1003

Jie Ji and Ruguang Zhou

Control of nonlinear dynamics in external-cavity VCSELs with delayed negative optoelectronic feedback pp. 1004-1011

Xiaofeng Li, Wei Pan, Bin Luo and Dong Ma

Global stability of an SEIR epidemic model with constant immigration pp. 1012-1019

Guihua Li, Wendi Wang and Zhen Jin

Small amplitude electron-acoustic solitary waves in a plasma with nonthermal electrons pp. 1020-1024

Tarsem Singh Gill, Harvinder Kaur and Nareshpal Singh Saini

2006, volume 30, articles 3

On the figure-8 periodic solutions in the three-body problem pp. 513-520

Roger Broucke, Antonio Elipe and Andrés Riaguas

The golden ratio in special relativity pp. 521-524

Leonardo Di G. Sigalotti and Antonio Mejias

Is Einstein’s general field equation more fundamental than quantum field theory and particle physics? pp. 525-531

M.S. El Naschie

On the origin of quantum mechanics pp. 532-541

Jaume Giné

On local Hamiltonians and dissipative systems pp. 542-551

M. Castagnino, M. Gadella and L.P. Lara

Nonlinear excitations in 1D ferromagnetic spin chains with anisotropic interactions pp. 552-573

Jean-Pierre Nguenang and Timoléon Créprin Kofané

Rigorous theory of stochastic resonance in overdamped bistable oscillators for weak signals pp. 574-578

P. Landa, V. Ushakov and Jürgen Kurths

Elementary prerequisites for E-infinity pp. 579-605

M.S. El Naschie

Existence of 121 limit cycles in a perturbed planar polynomial Hamiltonian vector field of degree 11 pp. 606-621

S. Wang and P. Yu

Intermediate prerequisites for E-infinity theory (Further recommended reading in nonlinear dynamics and mathematical physics) pp. 622-628

M. Saladin El Naschie

Global synchronization for time-delay of WINDMI System pp. 629-635

Junxa Wang, Dianchen Lu and Lixin Tian

Advanced prerequisite for E-infinity theory pp. 636-641

M. Saladin El Naschie

Statistics in the p-model pp. 642-655

Massimo Materassi, Andrzej W. Wernik and Emiliya Yordanova

Topics in the mathematical physics of E-infinity theory pp. 656-663

M.S. El Naschie

Study of nonlinear phenomena in a multi-bit bandpass sigma delta modulator pp. 664-671

H.H.C. Iu

An autonomous system for chaotic convection in a porous medium using a thermal non-equilibrium model pp. 672-689

Long-Jye Sheu

Chaos synchronization in bi-axial magnets modeled by Bloch equation pp. 690-699

F.M. Moukam Kakmeni, J.P. Nguenang and T.C. Kofané

Exp-function method for nonlinear wave equations pp. 700-708

Ji-Huan He and Xu-Hong Wu

Chattering-free fuzzy sliding-mode control strategy for uncertain chaotic systems pp. 709-718

Her-Terng Yau and Chieh-Li Chen

Self-excited systems: Analytical determination of limit cycles pp. 719-724

D’Acunto, Mario

Switching control of linear systems for generating chaos pp. 725-733

Xinzhi Liu, Kok-Lay Teo, Hongtao Zhang and Guanrong Chen

Synchronization in an artificial neural network pp. 734-747

Wen-Chyuan Yueh and Sui Sun Cheng

Persistence and average persistence of a nonautonomous Kolmogorov system pp. 748-758

Xinli Han, Zhidong Teng and Dongmei Xiao

The integrated and local estimations of instability for a class of autonomous delay systems pp. 759-768

Victor F. Dailyudenko

2006, volume 30, articles 2

On being a man who wants to know everything: G. ‘t Hooft’s 60th birthday address pp. 257-258

M.S. El Naschie

Estimating the mass of the Higgs boson (mH) using the mass formula of E-infinity theory pp. 259-262

Ayman A. El-Okaby

The Higgs mass using E-infinity theory pp. 263-268

I.S. Mahmoud

A projective approach to dynamical systems, applications in cosmology and connections with El Naschie ϵ(∞) Cantorian space–time pp. 269-277

G. Iovane and E. Benedetto

Dynamic paradigm of turbulence pp. 278-289

Alfred M. Mukhamedov

Nonlinear operations on distributions and application to cosmology of very early universe pp. 290-299

Kourosh Nozari

Strings and Planck oscillators pp. 300-311

B.G. Sidharth

Puzzles of large scale structure and gravitation pp. 312-317

B.G. Sidharth

El Naschie’s supergravity by means of the gravitational instantons synchronization pp. 318-323

M. Agop and M. Vasilica

Feigenbaum scaling, Cantorian space–time and the hierarchical structure of standard model parameters pp. 324-331

Ervin Goldfain

Pentaquarks and the mass spectrum of the elementary particles of the standard model pp. 332-341

L. Marek-Crnjac

Modeling quantum harmonic oscillator in complex domain pp. 342-362

Ciann-Dong Yang

Nonlinear Schrödinger equations and Virasoro algebra pp. 363-366

H.T. Özer and Sali˙hoğlu, S.

Existence of fixed point for the nonexpansive mapping of intuitionistic fuzzy metric spaces pp. 367-373

Abdolrahman Razani

Fractal dimension of chaotic dynamical spaces pp. 374-379

S.I. Nada

El Naschie’s ε(∞) space–time and new results in scale relativity theories pp. 380-398

I. Gottlieb, M. Agop, Gabriela Ciobanu and Aurelia Stroe

Pythagoras’ celestial spheres in the context of a simple model for quantization of planetary orbits pp. 399-406

Marçal de Oliveira Neto

The Dirac equation for accountants pp. 407-411

G.N. Ord

Quantum statistics of a kicked particle in an infinite potential well pp. 412-423

D. Kilbane, A. Cummings, O’Sullivan, G. and D.M. Heffernan

The classical-quantum correspondence of a kicked particle in an infinite potential well pp. 424-440

D. Kilbane, A. Cummings, O’Sullivan, G. and D.M. Heffernan

El Naschie’s ε(∞) space–time and the two slit experiment in the Weyl–Dirac theory pp. 441-452

M. Agop and P. Craciun

Nuclear fission and spatial chaos pp. 453-462

Shu Tang Liu

Self-similar super universes pp. 463-469

B.G. Sidharth

El Naschie’s ε(∞) space–time and patterns in plasma discharge pp. 470-489

M. Agop, D. Alexandroaie, Adina Cerepaniuc and Simona Bacaita

The golden section, secrets of the Egyptian civilization and harmony mathematics pp. 490-505

Alexey Stakhov

Application of E-infinity theory to turbulence pp. 506-511

Ji-Huan He

2006, volume 30, articles 1

Strange attractors in a chaotic coin flip simulation pp. 1-10

Crystal Cooper

Robust synchronization of Sprott circuits using sliding mode control pp. 11-18

David I. Rosas Almeida, Joaquín Alvarez and Juan Gonzalo Barajas

Identifying elementary iterated systems through algorithmic inference: The Cantor set example pp. 19-29

Bruno Apolloni and Simone Bassis

El Naschie’s Cantorian gravity and Einstein’s quantum gravity pp. 30-40

M. Agop and P. Craciun

On modeling and visualizing single-electron spin motion pp. 41-50

Ciann-Dong Yang

The evolution and limits of science pp. 51-55

Daham Ismail Alani and Zina Alani Mougharbel

Fibonacci matrices, a generalization of the “Cassini formula”, and a new coding theory pp. 56-66

A.P. Stakhov

A pfaffian solution to the modified discrete BKP equation pp. 67-70

Gegenhasi, and Hon-Wah Tam

The soliton solutions, dromions of the Kadomtsev–Petviashvili and Jimbo–Miwa equations in (3+1)-dimensions pp. 71-76

Guiqiong Xu

Generalized projective synchronization of two chaotic systems by using active control pp. 77-82

Guo-Hui Li

Boundedness and global stability for nonautonomous recurrent neural networks with distributed delays pp. 83-93

Haijun Jiang and Zhidong Teng

A chaos search immune algorithm with its application to neuro-fuzzy controller design pp. 94-109

X.Q. Zuo and Y.S. Fan

Power expansions for solution of the fourth-order analog to the first Painlevé equation pp. 110-124

Nikolai A. Kudryashov and Olga Yu. Efimova

Self-organization scenario acting as physical basis of intelligent complex systems created in laboratory pp. 125-132

Erzilia Lozneanu and Mircea Sanduloviciu

Exponential stability of neural networks with variable delays via LMI approach pp. 133-139

Haifeng Yang, Tianguang Chu and Cishen Zhang

Generalized projective synchronization of chaos: The cascade synchronization approach pp. 140-146

Changpin Li and Jianping Yan

Chaotic behavior in sampled-data control systems with saturating control pp. 147-155

Jun Guo Lu

Diffusion as a result of transition in behavior of deterministic maps pp. 156-165

Przemyslaw Borys and Zbigniew J. Grzywna

Synchronization of chaotic neural networks via output or state coupling pp. 166-176

Hongtao Lu and C. van Leeuwen

On the quasi-controllability of continuous-time dynamic fuzzy control systems pp. 177-188

Yuhu Feng and Liangjian Hu

Conservation laws for two (2+1)-dimensional differential–difference systems pp. 189-196

Guo-Fu Yu and Hon-Wah Tam

A multiple Riccati equations rational expansion method and novel solutions of the Broer–Kaup–Kupershmidt system pp. 197-203

Qi Wang and Yong Chen

Stability and Hopf bifurcation for an epidemic disease model with delay pp. 204-216

Chengjun Sun, Yiping Lin and Maoan Han

New doubly periodic and multiple soliton solutions of the generalized (3+1)-dimensional Kadomtsev–Petviashvilli equation with variable coefficients pp. 217-226

Hong Zhao and Chenglin Bai

A hierarchy of nonlinear lattice soliton equations, its integrable coupling systems and infinitely many conservation laws pp. 227-234

Hai-Yong Ding, Ye-Peng Sun and Xi-Xiang Xu

Complex dynamics in Josephson system with two external forcing terms pp. 235-256

Jianping Yang, Wei Feng and Zhujun Jing