Chaos, Solitons & Fractals

2002 - 2025

Current editor(s): Stefano Boccaletti and Stelios Bekiros

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2008, volume 35, articles 5

Quarks confinement via Kaluza–Klein theory as a topological property of quantum classical spacetime phase transition pp. 825-829

M.S. El Naschie

Equilibria of the three-body problem with rigid dumb-bell satellite pp. 830-842

A. Elipe, M. Palacios and Pre¸tka-Ziomek, H.

Homotopy perturbation method for fractional KdV-Burgers equation pp. 843-850

Qi Wang

A novel particle swarm optimization algorithm for permutation flow-shop scheduling to minimize makespan pp. 851-861

Zhigang Lian, Xingsheng Gu and Bin Jiao

Non-perturbative super symmetric quantum gravity coupling pp. 862-870

M.S. El Naschie

Encryption and decryption of information in chaotic communication systems governed by delay-differential equations pp. 871-877

M.D. Prokhorov and V.I. Ponomarenko

Eliminating oscillations in the Internet by time-delayed feedback control pp. 878-887

Cheng-Lin Liu and Yu-Ping Tian

Chaotic annealing with hypothesis test for function optimization in noisy environments pp. 888-894

Hui Pan, Ling Wang and Bo Liu

Efficient shooting method for solving two point boundary value problems pp. 895-903

Basem S. Attili and Muhammed I. Syam

Global impulsive exponential synchronization of time-delayed coupled chaotic systems pp. 904-912

Wei Zhu, Daoyi Xu and Yumei Huang

A comparative study of chaotic and white noise signals in digital watermarking pp. 913-921

Aidan Mooney, John G. Keating and Ioannis Pitas

Fuzzy stability and synchronization of hyperchaos systems pp. 922-930

Junwei Wang, Xiaohua Xiong, Meichun Zhao and Yanbin Zhang

Nonlinear eigenvalue problems with symmetry pp. 931-941

Muhammed I. Syam, Hani A. Khashan and Qasem M. Al-Mdallal

Governing equations of envelopes created by nearly bichromatic waves and relation to the nonlinear Schrödinger equation pp. 942-948

Ben T. Nohara, Akio Arimoto and Tatsuhiko Saigo

Existence of slip and stick periodic motions in a non-smooth dynamical system pp. 949-959

Chunqing Lu

Fractal aspects of calcium binding protein structures pp. 960-966

Adriana Isvoran, Laura Pitulice, Constantin T. Craescu and Adrian Chiriac

Multi-step ahead nonlinear identification of Lorenz’s chaotic system using radial basis neural network with learning by clustering and particle swarm optimization pp. 967-979

Fábio A. Guerra and Leandro dos S. Coelho

The generalized synchronization of a Quantum-CNN chaotic oscillator with different order systems pp. 980-990

Zheng-Ming Ge and Cheng-Hsiung Yang

Multi-compacton and double symmetric peakon for generalized Ostrovsky equation pp. 991-995

Lixin Tian and Jiuli Yin

Homoclinic solutions for Davey-Stewartson equation pp. 996-1002

Jian Huang and Zhengde Dai

Robust control for Takagi–Sugeno fuzzy systems with time-varying state and input delays pp. 1003-1008

Chang-Hua Lien and Ker-Wei Yu

Three control strategies for the Lorenz chaotic system pp. 1009-1014

Chaohai Tao and Chunde Yang

2008, volume 35, articles 4

The connection between the order of simple groups and the maximum number of elementary particles pp. 641-644

L. Marek-Crnjac

Multifractals and El Naschie E-infinity Cantorian space–time pp. 645-658

G. Iovane, M. Chinnici and F.S. Tortoriello

Contribution of non integer integro-differential operators (NIDO) to the geometrical understanding of Riemann’s conjecture-(II) pp. 659-663

Alain Le Méhauté, Abdelaziz El Kaabouchi and Laurent Nivanen

The exceptional eightfold way to a possible Higgs field pp. 664-667

M.S. El Naschie

Pattern deformation and annihilation in two-dimensional excitable media in oscillatory domains pp. 668-679

J.I. Ramos

Radion signature in γγ scattering pp. 680-683

S.R. Choudhury, A.S. Cornell and G.C. Joshi

Roots lattice hierarchies of exceptional Lie symmetry groups and the elementary particles content of the standard model pp. 684-687

M.S. El Naschie

Nonlinear oscillator with discontinuity by parameter-expansion method pp. 688-691

Shu-Qiang Wang and Ji-Huan He

A new hierarchy of (1+1)-dimensional soliton equations and its quasi-periodic solutions pp. 692-704

Shan Xue and Dianlou Du

Chaos synchronization of fractional order modified duffing systems with parameters excited by a chaotic signal pp. 705-717

Zheng-Ming Ge and Chan-Yi Ou

A new class of interval projection neural networks for solving interval quadratic program pp. 718-725

Ke Ding and Nan-Jing Huang

Inhibition of chaos in a pendulum equation pp. 726-737

Jianping Yang and Zhujun Jing

Numerical solution for the Falkner–Skan equation pp. 738-746

Nasser S. Elgazery

Global robust exponential stability of delayed neural networks pp. 747-754

Wei Wu and Bao Tong Cui

Synchronization of uncertain chaotic systems using a single transmission channel pp. 755-762

Yong Feng, Xinghuo Yu and Lixia Sun

Statistical convergence on intuitionistic fuzzy normed spaces pp. 763-769

S. Karakus, K. Demirci and O. Duman

Exponential stability of impulsive neural networks with time-varying delays pp. 770-780

Zai-Tang Huang, Qi-Gui Yang and Xiao-shu Luo

Optimal PID control design for synchronization of delayed discrete chaotic systems pp. 781-785

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

Projective properties of fractal sets pp. 786-794

Anders Nilsson and Fredrik Georgsson

Stability and bifurcation of numerical discretization of a second-order delay differential equation with negative feedback pp. 795-807

Xiaohua Ding, Huan Su and Mingzhu Liu

A novel neural-net-based nonlinear adaptive control and application to the cross-direction deviations control of a polymer film spread line pp. 808-813

Zengqiang Chen, Xiang Li, Zhongxin Liu and Zhuzhi Yuan

Chaos control and synchronization of the Newton–Leipnik chaotic system pp. 814-824

Qiang Jia

2008, volume 35, articles 3

Extended renormalizations group analysis for quantum gravity and Newton’s gravitational constant pp. 425-431

M.S. El Naschie

Applications of chaos control techniques to a three-species food chain pp. 432-441

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

Nonlinear H∞ control of stochastic time-delay systems with Markovian switching pp. 442-451

Guoliang Wei, Zidong Wang and Huisheng Shu

Some chaotic properties of Zadeh’s extensions pp. 452-459

H. Román-Flores and Y. Chalco-Cano

Bifurcation and chaos of rectangular moderately thick cracked plates on an elastic foundation subjected to periodic load pp. 460-465

Yong-Gang Xiao, Yi-Ming Fu and Xu-Dong Zha

Cryptography with chaotic mixing pp. 466-471

Luiz P.L. de Oliveira and Marcelo Sobottka

Multiple delay Rössler system—Bifurcation and chaos control pp. 472-485

Dibakar Ghosh, A. Roy Chowdhury and Papri Saha

Bifurcations of periodic orbits and chaos in damped and driven morse oscillator pp. 486-505

Zhujun Jing, Jin Deng and Jianping Yang

Controlling hyperchaos and periodic synchronization in DOPO with parameter modulated by an external periodic signal pp. 506-511

Xiu-Qin Feng and Ke Shen

Synchronization of chaotic neurons coupled with gap junction with time delays in external electrical stimulation pp. 512-518

Jiang Wang, Bin Deng and Xiangyang Fei

Chaotic hash-based fingerprint biometric remote user authentication scheme on mobile devices pp. 519-524

Muhammad Khurram Khan, Jiashu Zhang and Xiaomin Wang

An effective hybrid approach based on grey and ARMA for forecasting gyro drift pp. 525-529

Zhi-Jie Zhou and Chang-Hua Hu

Special conditional similarity reductions and exact solutions of the (2+1)-dimensional VCBKK system pp. 530-535

Jian-Ping Fang, Jiang-Bo Li, Chun-Long Zheng and Qing-Bao Ren

Asymptotic numerical method for multi-degree-of-freedom nonlinear dynamic systems pp. 536-542

Shu-Li Mei, Cheng-Jin Du and Sen-Wen Zhang

Global behavior of the difference equation xn+1=xn-l+11+a0xn+a1xn-1+⋯+alxn-l+xn-l+1 pp. 543-549

Mehdi Dehghan, Majid Jaberi Douraki and Mohsen Razzaghi

Global convergence of an adaptive minor component extraction algorithm pp. 550-561

Dezhong Peng and Zhang Yi

Synchronization in random networks with given expected degree sequences pp. 562-577

Paolo Checco, Mario Biey and Ljupco Kocarev

Patterns in the combustion process in a spark ignition engine pp. 578-585

Grzegorz Litak, Tomasz Kamiński, Rafał Rusinek, Jacek Czarnigowski and Mirosław Wendeker

Global bifurcations and chaos for a rotor-active magnetic bearing system with time-varying stiffness pp. 586-608

W. Zhang, J.W. Zu and F.X. Wang

Stability and bifurcation analysis in a delayed SIR model pp. 609-619

Zhichao Jiang and Junjie Wei

On stabilizing PI controller ranges for multivariable systems pp. 620-625

Chong Lin, Qing-Guo Wang, Yong He, Guilin Wen, Xu Han, Guangyao Li and Zhi-Hua Zhong

Pulse vaccination in SIRS epidemic model with non-monotonic incidence rate pp. 626-638

Sunita Gakkhar and Kuldeep Negi

2008, volume 35, articles 2

Quarks confinement – A simple mathematical derivation pp. 213-215

M.S. El Naschie

Conformal E-infinity theory, exceptional Lie groups and the elementary particle content of the standard model pp. 216-219

M.S. El Naschie

Wave dynamics for peaked solitons of the Camassa–Holm equation pp. 220-237

A. Parker

Bounded solutions of a class of difference equations in Banach spaces producing controlled chaos pp. 238-245

Stevo Stević

Instability of powers of the golden mean pp. 246-251

C. Manchein and M.W. Beims

Quantum gravity unification via transfinite arithmetic and geometrical averaging pp. 252-256

M.S. El Naschie

The connection between the electromagnetic fine structure constant α¯0 and the monster Lie algebra pp. 257-262

L. Marek-Crnjac

Stability analysis of Cohen–Grossberg BAM neural networks with delays and impulses pp. 263-267

Chuanzhi Bai

The Exceptional Lie symmetry groups hierarchy and the expected number of Higgs bosons pp. 268-273

M.S. El Naschie

Bounds on the Hausdorff dimension of a renormalisation map arising from an excitable reaction-diffusion system on a fractal lattice pp. 274-284

Anthony J. Mulholland

From E-eight to E-Infinity pp. 285-290

M.S. El Naschie

Dynamic analysis of an axially moving viscoelastic string by the Galerkin method using translating string eigenfunctions pp. 291-302

Neng-Hui Zhang

Derivation of Newton’s gravitational fine structure constant from the spectrum of Heterotic superstring theory pp. 303-307

M.S. El Naschie

The group SO(4) and generalized function pp. 308-312

J. Sadeghi, M. Pahlavani and A. Emadi

Error threshold ghosts in a simple hypercycle with error prone self-replication pp. 313-319

Josep Sardanyés

The fundamental algebraic equations of the constants of nature pp. 320-322

M.S. El Naschie

Biorthogonal multiple vector-valued multivariate wavelet packets associated with a dilation matrix pp. 323-332

Qingjiang Chen and Zhi Shi

Hyperchaos synchronization and control on a new hyperchaotic attractor pp. 333-345

Zhenya Yan and Pei Yu

Conjectures regarding kissing spheres hierarchy and quantum gravity unification pp. 346-350

M.S. El Naschie

Global stability of almost periodic solution of shunting inhibitory cellular neural networks with variable coefficients pp. 351-357

Ling Chen and Hongyong Zhao

Chaos and bifurcation of a flexible rotor supported by porous squeeze couple stress fluid film journal bearings with non-linear suspension pp. 358-375

Cai-Wan Chang-Jian and Chao-Kuang Chen

Using sampled-data feedback control and linear feedback synchronization in a new hyperchaotic system pp. 376-382

Junchan Zhao and Jun-an Lu

Composite tracking control for a class of uncertain nonlinear control systems with uncertain deadzone nonlinearities pp. 383-389

Yeong-Jeu Sun

A new hyper-chaos generated from generalized Lorenz system via nonlinear feedback pp. 390-397

Tiegang Gao, Zengqiang Chen, Qiaolun Gu and Zhuzhi Yuan

Two-species asymmetric simple exclusion process with open boundaries pp. 398-407

Masaru Uchiyama

A novel algorithm for image encryption based on mixture of chaotic maps pp. 408-419

S. Behnia, A. Akhshani, H. Mahmodi and A. Akhavan

Hierarchy of kissing numbers for exceptional Lie symmetry groups in high energy physics pp. 420-422

M.S. El Naschie

2008, volume 35, articles 1

On the origin of the deflection of light pp. 1-6

Jaume Giné

String theory, exceptional Lie groups hierarchy and the structural constant of the universe pp. 7-12

M.S. El Naschie

Characterization of nonuniform chaos in area-preserving nonlinear maps through a continuous archetype pp. 13-37

S. Cerbelli and M. Giona

Super-symmetric quantum gravity inverse coupling from the Exceptional Lie symmetry groups hierarchy pp. 38-39

M.S. El Naschie

CMAC-based supervisory control for nonlinear chaotic systems pp. 40-58

Chih-Min Lin and Chiu-Hsiung Chen

Modified rational Legendre approach to laminar viscous flow over a semi-infinite flat plate pp. 59-66

T. Tajvidi, M. Razzaghi and M. Dehghan

Notes on exceptional lie symmetry groups hierarchy and possible implications for E-Infinity high energy physics pp. 67-70

M.S. El Naschie

On contra πg-continuous functions pp. 71-81

Erdal Ekici

Exceptional Lie groups hierarchy and some fundamental high energy physics equations pp. 82-84

M.S. El Naschie

Scaling laws and indications of self-organized criticality in urban systems pp. 85-98

Yanguang Chen and Yixing Zhou

Noether’s theorem, exceptional Lie groups hierarchy and determining 1/α≅137 of electromagnetism pp. 99-103

M.S. El Naschie

Note on a property specific to the tent map pp. 104-105

Akihiko Kitada, Yoshihito Ogasawara and Katsuya Eda

The fractal dimensions of graphs of the Weyl-Marchaud fractional derivative of the Weierstrass-type function pp. 106-115

K. Yao, Y.S. Liang and J.X. Fang

Global exponential stability and periodicity of reaction–diffusion delayed recurrent neural networks with Dirichlet boundary conditions pp. 116-125

Jun Guo Lu

On a complex Duffing system with random excitation pp. 126-132

Yong Xu, Wei Xu and Gamal M. Mahmoud

Error growth in the time-dependent logistic equation pp. 133-139

Pedro Sancho

Homotopy perturbation method for thin film flow of a third grade fluid down an inclined plane pp. 140-147

A.M. Siddiqui, R. Mahmood and Q.K. Ghori

Invariants of the Richardson equation pp. 148-150

Karl E. Lonngren and Sadayoshi Toh

Compensation of nonlinear absorption in a soliton communication system pp. 151-160

G. Tsigaridas, I. Polyzos, V. Giannetas and P. Persephonis

A novel matrix approach for controlling the invariant densities of chaotic maps pp. 161-175

Alan Rogers, Robert Shorten and Daniel M. Heffernan

Notes to the paper “Fixed points in intuitionistic fuzzy metric spaces” and its generalization to L-fuzzy metric spaces pp. 176-180

Reza Saadati

Generalized projective synchronization of chaotic nonlinear gyros coupled with dead-zone input pp. 181-187

Meei-Ling Hung, Jun-Juh Yan and Teh-Lu Liao

Chaotic dynamics of the fractionally damped van der Pol equation pp. 188-198

Juhn-Horng Chen and Wei-Ching Chen

Diagnosing faults and illnesses with a quasi-time-invariant filter transfer function model pp. 199-201

Roberto Carniel

Symmetry group prerequisite for E-infinity in high energy physics pp. 202-211

M.S. El Naschie