Chaos, Solitons & Fractals

2002 - 2025

Current editor(s): Stefano Boccaletti and Stelios Bekiros

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2007, volume 31, articles 5

Hypersingular integral equations, Kähler manifolds and Thurston mirroring effect in ϵ(∞) Cantorian spacetime pp. 1041-1053

G. Iovane

Nonlinear dynamics in the relativistic field equation pp. 1054-1075

Yosuke Tanaka, Yuji Mizuno, Tatsuhiko Kado and Hua-An Zhao

Some remarks on an experiment suggesting quantum-like behavior of cognitive entities and formulation of an abstract quantum mechanical formalism to describe cognitive entity and its dynamics pp. 1076-1088

Elio Conte, Orlando Todarello, Antonio Federici, Francesco Vitiello, Michele Lopane, Andrei Khrennikov and Joseph P. Zbilut

Multifractal classification of road traffic flows pp. 1089-1094

Xuewei Li and Pengjian Shang

Robust control of chaos in Chua’s circuit based on internal model principle pp. 1095-1107

Keum W. Lee and Sahjendra N. Singh

El Naschie ϵ(∞) Cantorian structures with spatial pseudo-spherical symmetry: A possible description of the actual segregated universe pp. 1108-1117

P. Giordano, G. Iovane and E. Laserra

On some open problems in planar differential systems and Hilbert’s 16th problem pp. 1118-1134

Jaume Giné

Hopf bifurcation in the Lorenz-type chaotic system pp. 1135-1142

Zhenya Yan

The generalized dressing method with applications to variable-coefficient coupled Kadomtsev–Petviashvili equations pp. 1143-1148

Junyi Zhu and Xianguo Geng

Robust digital controllers for uncertain chaotic systems: A digital redesign approach pp. 1149-1164

Mohammad Ababneh, Juan-Gonzalo Barajas-Ramírez, Guanrong Chen and Leang S. Shieh

Fractal dimension estimate for invariant set in complete Riemannian manifold pp. 1165-1172

Chengqin Qu and Zuoling Zhou

Symbolic computation of exact solutions for a nonlinear evolution equation pp. 1173-1180

Yinping Liu, Zhibin Li and Kuncheng Wang

Spacial chaos behavior of molecular orbit pp. 1181-1186

Shu Tang Liu and Sitao Wu

Global asymptotic stability of neural networks with delay: Comparative evaluation of two criteria pp. 1187-1190

Vimal Singh

Super-attracting cycles for the cosine-root family pp. 1191-1202

D.A. Brown and M.L. Halstead

Chaos in a new system with fractional order pp. 1203-1212

Long-Jye Sheu, Hsien-Keng Chen, Juhn-Horng Chen and Lap-Mou Tam

New interaction solutions of multiply periodic, quasi-periodic and non-periodic waves for the (n+ 1)-dimensional double sine-Gordon equations pp. 1213-1222

H.C. Hu, S.Y. Lou and K.W. Chow

Robust dynamic compensator for a class of time delay systems containing saturating control input pp. 1223-1231

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

Stability and bifurcation of a two-dimension discrete neural network model with multi-delays pp. 1232-1242

Chunrui Zhang and Baodong Zheng

Application of He’s homotopy perturbation method to functional integral equations pp. 1243-1247

S. Abbasbandy

Numerical comparison of methods for solving linear differential equations of fractional order pp. 1248-1255

Shaher Momani and Zaid Odibat

Modified extended tanh-function method for solving nonlinear partial differential equations pp. 1256-1264

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

Reshaping-induced spatiotemporal chaos in driven, damped sine-Gordon systems pp. 1265-1271

R. Chacón

The variation of the density functions on chaotic spheres in chaotic space-like Minkowski space time pp. 1272-1278

A.E. El-Ahmady

The role of cooperation and parasites in non-linear replicator delayed extinctions pp. 1279-1296

Josep Sardanyés and Ricard V. Solé

2007, volume 31, articles 4

Spacetime non-commutativity, generalized uncertainty principle and the fine structure constant pp. 777-781

Kourosh Nozari and Behnaz Fazlpour

E-Infinity theory and the Higgs field pp. 782-786

Ji-Huan He

Hilbert space, Poincaré dodecahedron and golden mean transfiniteness pp. 787-793

M.S. El Naschie

A generalized nonlinear Schrödinger equation and optical soliton in a gradient index cylindrical media pp. 794-803

Mousumi Ballav and A. Roy Chowdhury

Linear estimate of the number of limit cycles for a class of non-linear systems pp. 804-810

Tonghua Zhang, Moses O. Tadé and Yu-Chu Tian

Suppression and generation of chaos for a three-dimensional autonomous system using parametric perturbations pp. 811-819

Xiaoqun Wu, Jun-an Lu, Herbert H.C. Iu and Siu-Chung Wong

Synchronization and clustering in electroencephalographic signals pp. 820-825

M. Escalona-Morán, M.G. Cosenza, P. Guillén and P. Coutin

Bifurcation and chaos in a Monod type food chain chemostat with pulsed input and washout pp. 826-839

Fengyan Wang, Chunping Hao and Lansun Chen

New exact travelling wave solutions using modified extended tanh-function method pp. 840-852

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

Hopf bifurcation in love dynamical models with nonlinear couples and time delays pp. 853-865

Xiaofeng Liao and Jiouhong Ran

Adaptive coupled synchronization among multi-Lorenz systems family pp. 866-878

Jun-an Lu, Xiu-ping Han, Yi-tian Li and Ming-hui Yu

Dynamics and adaptive synchronization of the energy resource system pp. 879-888

Mei Sun, Lixin Tian, Ying Fu and Wei Qian

Non-fragile guaranteed cost control for uncertain neutral dynamic systems with time-varying delays in state and control input pp. 889-899

Chang-Hua Lien

Parameters optimization for energy pumping in strongly nonhomogeneous 2 dof system pp. 900-911

L.I. Manevitch, E. Gourdon and C.H. Lamarque

Chaos via torus breakdown in the vibration response of a rigid rotor supported by active magnetic bearings pp. 912-927

Jawaid I. Inayat-Hussain

New results on the existence and uniqueness of almost periodic solution for BAM neural networks with continuously distributed delays pp. 928-936

Yonghui Xia, Jinde Cao and Muren Lin

Exact solutions to two higher order nonlinear Schrödinger equations pp. 937-942

Li-Ping Xu and Jin-Liang Zhang

Auxiliary equation method and new solutions of Klein–Gordon equations pp. 943-950

Sirendaoreji,

Symbolic computation and new families of exact non-travelling wave solutions of (2+1)-dimensional Konopelchenko–Dubrovsky equations pp. 951-959

Zhang Sheng

Analysis on bifurcations of multiple limit cycles for a parametrically and externally excited mechanical system pp. 960-976

J. Li, S.F. Miao and W. Zhang

Travelling fronts, pulses, and pulse trains in a 1D discrete reaction–diffusion system pp. 977-994

Priyadarshi Majumdar and Avijit Lahiri

Long-range dependence and market structure pp. 995-1000

Daniel Cajueiro and Benjamin Tabak

Extended tanh-function method and reduction of nonlinear Schrödinger-type equations to a quadrature pp. 1001-1008

R.S. Ibrahim and O.H. El-Kalaawy

A columnar competitive model for solving multi-traveling salesman problem pp. 1009-1019

Hong Qu, Zhang Yi and HuaJin Tang

Linear and nonlinear properties of electron-acoustic solitary waves with non-thermal electrons pp. 1020-1023

E.K. El-Shewy

A study on compactly supported orthogonal vector-valued wavelets and wavelet packets pp. 1024-1034

Qingjiang Chen and Zhengxing Cheng

Golden mean relevance for chaos inhibition in a system of two coupled modified van der Pol oscillators pp. 1035-1040

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

2007, volume 31, articles 3

A derivation of the electromagnetic coupling α0≃137.036 pp. 521-526

M.S. El Naschie

Topology of the Italian airport network: A scale-free small-world network with a fractal structure? pp. 527-536

Michele Guida and Funaro Maria

The Fibonacci code behind super strings and P-Branes. An answer to M. Kaku’s fundamental question pp. 537-547

M.S. El Naschie

A new extended Riccati equation rational expansion method and its application pp. 548-556

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

Relativistic particles and commutator algebras with twisted Poincaré transformation pp. 557-560

J. Sadeghi and B. Pourhassan

A new criterion for global robust stability of interval neural networks with discrete time delays pp. 561-570

Chuandong Li, Jinyu Chen and Tingwen Huang

An extended method for obtaining S-boxes based on three-dimensional chaotic Baker maps pp. 571-579

Guo Chen, Yong Chen and Xiaofeng Liao

A parallel implementation of Wang’s method for solving tridiagonal systems pp. 580-585

Salman H. Abbas

Explicit and exact travelling wave solutions for the generalized derivative Schrödinger equation pp. 586-593

Ding-jiang Huang, De-sheng Li and Hong-qing Zhang

Various exact solutions of nonlinear Schrödinger equation with two nonlinear terms pp. 594-601

Mingliang Wang, Xiangzheng Li and Jinliang Zhang

Explicit solutions of the reduced Ostrovsky equation pp. 602-610

E.J. Parkes

A multi-component integrable hierarchy and its multi-component expanding integrable model pp. 611-616

Wei Yuan and Yufeng Zhang

On limit cycles of the Liénard equation with Z2 symmetry pp. 617-630

P. Yu and M. Han

Impulsive control and synchronization of the Lorenz systems family pp. 631-638

Xiaoqun Wu, Jun-an Lu, Chi Tse, Jinjun Wang and Jie Liu

Behavior of different ansätze in the generalized projection operator method pp. 639-647

K. Nakkeeran and P.K.A. Wai

Multisoliton excitations for the Kadomtsev–Petviashvili equation and the coupled Burgers equation pp. 648-657

Zheng-Yi Ma, Xiao-Fei Wu and Jia-Min Zhu

Exponential stability of delayed fuzzy cellular neural networks with diffusion pp. 658-664

Tingwen Huang

Passivity-based adaptive control of chaotic oscillations in power system pp. 665-671

Du Qu Wei and Xiao Shu Luo

Analysis of stability and Hopf bifurcation for a delayed logistic equation pp. 672-682

Chengjun Sun, Maoan Han and Yiping Lin

Stability and Hopf bifurcation analysis in a three-level food chain system with delay pp. 683-694

Yuanyuan Chen, Jiang Yu and Chengjun Sun

Absolute exponential stability analysis of delayed bi-directional associative memory neural networks pp. 695-701

Xuyang Lou and Baotong Cui

Stochastic stability and bifurcation in a macroeconomic model pp. 702-711

Wei Li, Wei Xu, Junfeng Zhao and Yanfei Jin

Model-reference control of chaotic systems pp. 712-717

Ahmet Uçar

Mode decomposition for a synchronous state and its applications pp. 718-725

Xiaohua Xiong, Junwei Wang, Yanbin Zhang and Tianshou Zhou

Weak average persistence and extinction of a predator–prey system in a polluted environment with impulsive toxicant input pp. 726-735

Xiaofeng Yang, Zhen Jin and Yakui Xue

Chaos game representation of the Dst index and prediction of geomagnetic storm events pp. 736-746

Z.G. Yu, V.V. Anh, J.A. Wanliss and S.M. Watson

Generalized Lorenz models and their routes to chaos. II. Energy-conserving horizontal mode truncations pp. 747-756

D. Roy and Z.E. Musielak

Some properties for the intersection of Moran sets with their translates pp. 757-764

Meifeng Dai and Lixin Tian

Kato’s chaos in set-valued discrete systems pp. 765-771

Rongbao Gu

Analytical studies on a modified Nagel–Schreckenberg model with the Fukui–Ishibashi acceleration rule pp. 772-776

Chuan-Ji Fu, Bing-Hong Wang, Chuan-Yang Yin, Tao Zhou, Bo Hu, Kun Gao, P.M. Hui and Chin-Kun Hu

2007, volume 31, articles 2

Tumor evasion from immune control: Strategies of a MISS to become a MASS pp. 261-268

d’Onofrio, Alberto

On the pricing of American contingent claims under transaction costs and multiple risky assets pp. 269-279

Maoning Tang, Meng Qingxin and Wang Bo

Effects of small-world connectivity on noise-induced temporal and spatial order in neural media pp. 280-291

Matjaž Perc

Nonlinear feedback control of chaotic pendulum in presence of saturation effect pp. 292-304

Aria Alasty and Hassan Salarieh

Delayed transitions in non-linear replicator networks: About ghosts and hypercycles pp. 305-315

Josep Sardanyés and Ricard V. Solé

Second eigenvalue of transition matrix associated to iterated maps pp. 316-326

Sara Fernandes and J. Sousa Ramos

Non-linear response of an electrode–electrolyte interface impedance with the frequency pp. 327-335

G. Ruiz and C.J. Felice

Global stability of synchronization between delay-differential systems with generalized diffusive coupling pp. 336-342

Nikola Burić and Nebojša Vasović

Two-peak soliton in the CKP hierarchy pp. 343-346

Jingsong He, Yi Cheng and Rudolf A. Römer

Shift spaces and distributional chaos pp. 347-355

Piotr Oprocha and Paweł Wilczyński

Dynamic behaviors of the periodic Lotka–Volterra competing system with impulsive perturbations pp. 356-370

Bing Liu, Zhidong Teng and Wanbo Liu

Robust synchronization of chaotic non-autonomous systems using adaptive-feedback control pp. 371-379

Youming Lei, Wei Xu and Jianwei Shen

Dynamic analysis for a stage-structure competitive system with mature population harvesting pp. 380-390

Chengjun Sun, Yiping Lin and Maoan Han

Robust H∞ output dynamic observer-based control of uncertain time-delay systems pp. 391-403

Jenq-Der Chen

Population models involving the p-Laplacian with indefinite weight and constant yield harvesting pp. 404-408

G.A. Afrouzi and S.H. Rasouli

Deterministic chaos in the processor load pp. 409-416

Zbigniew Halbiniak and Ireneusz J. Jóźwiak

Peaked singular wave solutions associated with singular curves pp. 417-423

Qinsheng Bi

A new stability criterion for discrete-time neural networks: Nonlinear spectral radius pp. 424-436

K.L. Mak, J.G. Peng, Z.B. Xu and K.F.C. Yiu

Decomposition method for the Camassa–Holm equation pp. 437-447

Jules Sadefo Kamdem and Zhijun Qiao

Complex dynamics of a Holling type II prey–predator system with state feedback control pp. 448-461

Guirong Jiang, Qishao Lu and Linning Qian

Explicit series solution of travelling waves with a front of Fisher equation pp. 462-472

Yue Tan, Hang Xu and Shi-Jun Liao

A multi-component matrix loop algebra and the multi-component Kaup–Newell (KN) hierarchy, as well as its integrable coupling system pp. 473-479

Wei Yuan, Yufeng Zhang and Yue Chao

Thirteen limit cycles for a class of Hamiltonian systems under seven-order perturbed terms pp. 480-488

Gheorghe Tigan

Quadratic Hamiltonians on non-symmetric Poisson structures pp. 489-499

M. Arribas, F. Blesa and A. Elipe

Symbolic computation of exact solutions expressible in rational formal hyperbolic and elliptic functions for nonlinear partial differential equations pp. 500-513

Qi Wang and Yong Chen

Stability of delayed cellular neural networks pp. 514-520

Qiang Zhang, Xiaopeng Wei and Jin Xu

2007, volume 31, articles 1

The elementary particles content of quantum spacetime via Feynman graphs and higher dimensional polytops pp. 1-4

M.S. El Naschie

Dimensions of fractals in the large pp. 5-13

M.R. Allen, G.S.H. Cruttwell, Kathryn E. Hare and J.-O. Rönning

Gauge anomalies, SU(N) irreducible representation and the number of elementary particles of a minimally extended standard model pp. 14-16

M.S. El Naschie

Three-component WKI equation and curve motion flow in Euclidean and Minkowski space pp. 17-29

Dongbo Zhang and Yuqing Hou

Synchronization of FitzHugh–Nagumo neurons in external electrical stimulation via nonlinear control pp. 30-38

Jiang Wang, Ting Zhang and Bin Deng

Effects of time delays on bifurcation and chaos in a non-autonomous system with multiple time delays pp. 39-53

Zhongkui Sun, Wei Xu, Xiaoli Yang and Tong Fang

Doubly periodic wave and folded solitary wave solutions for (2+1)-dimensional higher-order Broer–Kaup equation pp. 54-63

Wenhua Huang, Yulu Liu and Zhiming Lu

Spatial coherence resonance in neuronal media with discrete local dynamics pp. 64-69

Matjaž Perc

Soliton-like solutions to the GKdV equation by extended mapping method pp. 70-74

Ranchao Wu and Jianhua Sun

Three dimensional nilpotent singularity and Sil’nikov bifurcation pp. 75-84

Xindan Li and Haifei Liu

Self-similar structure of wire length distribution of random logic pp. 85-94

Ikuo Matsuba

The extended F-expansion method and its application for a class of nonlinear evolution equations pp. 95-104

M.A. Abdou

Chaos synchronization in RCL-shunted Josephson junction via active control pp. 105-111

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

Numerical solutions of diffusive logistic equation pp. 112-118

G.A. Afrouzi and S. Khademloo

Synchronizing different chaotic systems using active sliding mode control pp. 119-129

Mohammad Haeri and Amir Abbas Emadzadeh

Hierarchy of islands in conservative systems yields multimodal distributions of FTLEs pp. 130-137

M. Harle and U. Feudel

Numerical method for solving linear Fredholm fuzzy integral equations of the second kind pp. 138-146

S. Abbasbandy, E. Babolian and M. Alavi

The Laplacian on β-sets via the method of averages pp. 147-154

Tang Donglei and Su Weiyi

Separation of fuzzy sets in fuzzy minimal spaces pp. 155-161

M. Alimohammady and M. Roohi

Further results on L-valued filters pp. 162-172

J. Gutiérrez García and M.A. de Prada Vicente

Exact solutions of the Wick-type stochastic mKP equation pp. 173-178

Bin Chen and Yingchao Xie

Intersection of the Sierpinski carpet with its rational translate pp. 179-187

Meifeng Dai and Lixin Tian

Cnoidal and solitary wave solutions of the coupled higher order nonlinear Schrödinger equation in nonlinear optics pp. 188-196

K. Porsezian and B. Kalithasan

Soliton-like and periodic form solutions to (2+1)-dimensional Toda equation pp. 197-204

Zhen Wang and Hongqing Zhang

New exact Jacobian elliptic function solutions for Wick-type stochastic KdV equation pp. 205-210

Qing Liu, Jia-Min Zhu and Bi-Hai Hong

Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays pp. 211-217

Bingwen Liu and Lihong Huang

A new proof to Bautin’s theorem pp. 218-223

Maoan Han, Hong Zang and Tonghua Zhang

Improved global robust stability criterion for delayed neural networks pp. 224-229

Vimal Singh

Linearly and nonlinearly bidirectionally coupled synchronization of hyperchaotic systems pp. 230-235

Jin Zhou, Jun-an Lu and Xiaoqun Wu

Nonhomogeneous fractional Poisson processes pp. 236-241

Xiao-Tian Wang, Shi-Ying Zhang and Shen Fan

On chaotic motion of some stochastic nonlinear dynamic system pp. 242-246

Dong-Wei Huang, Qin Gao, Hong-Li Wang, Jian-Feng Feng and Zhi-Wen Zhu

Analysis and control of the bifurcation of Hodgkin–Huxley model pp. 247-256

Jiang Wang, Liangquan Chen and Xianyang Fei

A numerical solution of Blasius equation by Adomian’s decomposition method and comparison with homotopy perturbation method pp. 257-260

S. Abbasbandy