Chaos, Solitons & Fractals

2002 - 2025

Current editor(s): Stefano Boccaletti and Stelios Bekiros

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2005, volume 24, articles 5

Super-selection rules modulating complexity: an overview pp. 1159-1163

John S. Nicolis

El Naschie’s structures in the electrodynamics of polarizable media pp. 1165-1181

M. Agop, I. Merches and V. Enache

Spacetime quantization induced by axial currents pp. 1183-1187

S. Carneiro and M.C. Nemes

Symbolic dynamics in investigation of quaternionic Julia sets pp. 1189-1201

Mitja Lakner, Marjeta Škapin-Rugelj and Peter Petek

Li and Yorke chaos with respect to the cardinality of the scrambled sets pp. 1203-1206

Juan Luis García Guirao and Marek Lampart

New interaction property of (2+1)-dimensional localized excitations from Darboux transformation pp. 1207-1216

H.C. Hu and S.Y. Lou

Simplest equation method to look for exact solutions of nonlinear differential equations pp. 1217-1231

Nikolai A. Kudryashov

Global synchronization of three coupled chaotic systems with ring connection pp. 1233-1242

Yongguang Yu and Suochun Zhang

Chaotic and bifurcation dynamic behavior of a simply supported rectangular orthotropic plate with thermo-mechanical coupling pp. 1243-1255

Yen-Liang Yeh

Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equation pp. 1257-1268

Mingliang Wang and Xiangzheng Li

A Holling II functional response food chain model with impulsive perturbations pp. 1269-1278

Shuwen Zhang and Lansun Chen

Rich dynamics of discrete delay ecological models pp. 1279-1285

Mingshu Peng

Symmetry breaking, bifurcations, periodicity and chaos in the Euler method for a class of delay differential equations pp. 1287-1297

Mingshu Peng

A stability criterion for HNFDE with non-uniform delays pp. 1299-1305

Xingwen Liu, Shouming Zhong and Fengli Zhang

Dynamic analysis, controlling chaos and chaotification of a SMIB power system pp. 1307-1315

Hsien-Keng Chen, Tsung-Nan Lin and Juhn-Horng Chen

A general framework for global asymptotic stability analysis of delayed neural networks based on LMI approach pp. 1317-1329

Jinde Cao and Daniel W.C. Ho

On the discrete form of the Fokas–Ablowitz equation pp. 1331-1335

A. Ramani and B. Grammaticos

Applying incomplete statistics to nonextensive systems with different q indices pp. 1337-1342

L. Nivanen, M. Pezeril, Q.A. Wang and A. Le Méhauté

Posture as a chaotic system and an application to the Parkinson’s disease pp. 1343-1346

Paolo B. Pascolo, Alfio Marini, Roberto Carniel and Fausto Barazza

Solitons with fission and fusion behaviors in a variable coefficient Broer–Kaup system pp. 1347-1351

Chun-Long Zheng and Li-Qun Chen

Adaptive synchronization of T–S fuzzy chaotic systems with unknown parameters pp. 1353-1361

Jae-Hun Kim, Chang-Woo Park, Euntai Kim and Mignon Park

Adaptive synchronization of a modified and uncertain chaotic Van der Pol-Duffing oscillator based on parameter identification pp. 1363-1371

H.B. Fotsin and P. Woafo

Jacobi elliptic function solutions for two variant Boussinesq equations pp. 1373-1385

Dazhao Lü

Primary resonant optimal control for homoclinic bifurcations in single-degree-of-freedom nonlinear oscillators pp. 1387-1398

Hongjun Cao

Analysis of dynamic solutions of complex delay differential equation exemplified by the extended Mandelbrot’s equation pp. 1399-1404

Marek Berezowski

2005, volume 24, articles 4

Chaos and routes to chaos in coupled Duffing oscillators with multiple degrees of freedom pp. 907-922

D.E. Musielak, Z.E. Musielak and J.W. Benner

Soft chaos in a Hamiltonian system with step potential. II. Topological properties pp. 923-939

Peter Kasperkovitz and Christian Tutschka

Deriving the essential features of the standard model from the general theory of relativity pp. 941-946

M.S.El Naschie

Intersections of stable and unstable manifolds: the skeleton of Lagrangian chaos pp. 947-956

F. Feudel, A. Witt, M. Gellert, J. Kurths, C. Grebogi and M.A.F. Sanjuán

Pattern selection and modulational instability in the one-dimensional modified complex Ginzburg–Landau equation pp. 957-966

Alidou Mohamadou, A. Kenfack Jiotsa and T.C. Kofané

The Wigner distribution function for squeezed vacuum superposed state pp. 967-975

E.M.E. Zayed, A.S. Daoud, M.A. AL-Laithy and E.N. Naseem

Local bifurcations and codimension-3 degenerate bifurcations of a quintic nonlinear beam under parametric excitation pp. 977-998

Wei Zhang, Feng-Xia Wang and Jean W. Zu

On the study of limit cycles of a cubic polynomials system under Z4-equivariant quintic perturbation pp. 999-1012

Yuhai Wu, Maoan Han and Xuanliang Liu

The effect of seasonal harvesting on a single-species discrete population model with stage structure and birth pulses pp. 1013-1023

Shujing Gao and Lansun Chen

A new observer-based synchronization scheme for private communication pp. 1025-1030

Maoyin Chen, Donghua Zhou and Yun Shang

Fractal scaling and simulation of velocity components and turbulent shear stress in open channel flow pp. 1031-1045

Ali Naghi Ziaei, Ali Reza Keshavarzi and Emdad Homayoun

Three-party quantum teleportation with asymmetric states pp. 1047-1052

Joonwoo Bae, Jyoungwan Jin, Jitae Kim, Chihoon Yoon and Younghun Kwon

Modeling of silica sol–gel thin films with ballistic aggregation pp. 1053-1058

Marcin Grzegorczyk, Krzysztof Maruszewski and Marek Rybaczuk

Synchronizing chaotic map from the two-valued symbolic sequences pp. 1059-1064

Hanping Hu, Xiaogang Wu and Zuxi Wang

Nonlinear dynamical analysis of axially moving viscoelastic strings pp. 1065-1074

Neng-Hui Zhang and Li-Qun Chen

H∞ Variable universe adaptive fuzzy control for chaotic system pp. 1075-1086

Wang Jiang, Qiao Guo-Dong and Deng Bin

Uniformly constructing finite-band solutions for a family of derivative nonlinear Schrödinger equations pp. 1087-1096

Y.C. Hon and Engui Fan

Chaos in the fractional order periodically forced complex Duffing’s oscillators pp. 1097-1104

Xin Gao and Juebang Yu

The persistence in a Lotka–Volterra competition systems with impulsive pp. 1105-1117

Zhen Jin, Han Maoan and Li Guihua

Delay-dependent exponential stability analysis of bi-directional associative memory neural networks with time delay: an LMI approach pp. 1119-1134

Chuandong Li, Xiaofeng Liao and Rong Zhang

A new two-dimensional discrete chaotic system with rational fraction and its tracking and synchronization pp. 1135-1143

Liang Chang, Jun-An Lu and Xiaoming Deng

Automatic generation of aesthetic patterns on fractal tilings by means of dynamical systems pp. 1145-1158

K.W. Chung and H.M. Ma

2005, volume 24, articles 3

Tadpoles, anomaly cancellation and the expectation value of the number of the Higgs particles in the standard model pp. 659-663

M.S. El Naschie

Multivalued fractals pp. 665-700

Jan Andres, Jiří Fišer, Grzegorz Gabor and Krzysztof Leśniak

El Naschie’s Cantorian space–time and an alternative to the Jakub Czajko issue pp. 701-706

I. Gottlieb and M. Agop

Fractal models of circulatory system. Symmetrical and asymmetrical approach comparison pp. 707-715

Elżbieta Gabryś, Marek Rybaczuk and Alicja Kędzia

The Hausdorff measure of some Sierpinski carpets pp. 717-731

Wu Min

Extended Jacobi elliptic function rational expansion method and abundant families of Jacobi elliptic function solutions to (1+1)-dimensional dispersive long wave equation pp. 745-757

Yong Chen and Qi Wang

An image encryption approach based on chaotic maps pp. 759-765

Linhua Zhang, Xiaofeng Liao and Xuebing Wang

Spatially periodic and temporally chaotic pattern in coupled nonidentical chaotic systems pp. 767-774

Meng Zhan, Xingang Wang, Xiaofeng Gong and C.-H. Lai

Breaking projective chaos synchronization secure communication using filtering and generalized synchronization pp. 775-783

G. Álvarez, Shujun Li, F. Montoya, G. Pastor and M. Romera

On a decomposition space of a weak self-similar set pp. 785-787

Akihiko Kitada and Yoshihito Ogasawara

Complex dynamic behavior in a food web consisting of two preys and a predator pp. 789-801

Sunita Gakkhar and Brahampal Singh

A local cellular model for growth on quasicrystals pp. 803-812

Prince Chidyagwai and Clifford A. Reiter

Bursters and quasi-periodic solutions of a self-excited quasi-periodic Mathieu oscillator pp. 813-824

Faouzi Lakrad, Abderrahim Azouani, Nazha Abouhazim and Mohamed Belhaq

On-line identification of multidimensional parametric vector random variation of pulse system pp. 825-838

Yury V. Kolokolov, Anna V. Monovskaya and Abdelaziz Hamzaoui

Soft chaos in a Hamiltonian system with step potential. I: Statistical properties pp. 839-861

Peter Kasperkovitz and Christian Tutschka

Stochastic representation of chaos using terminal attractors pp. 863-868

Michail Zak

Attractor merging crisis in chaotic business cycles pp. 869-875

Abraham C.-L. Chian, Felix A. Borotto, Erico L. Rempel and Colin Rogers

The multi-component generalized Wadati–Konono–Ichikawa (WKI) hierarchy and its multi-component integrable couplings system with two arbitrary functions pp. 877-883

Tiecheng Xia, Fajun Yu and Dengyuan Chen

LMI-based approach for delay-dependent exponential stability analysis of BAM neural networks pp. 885-898

Xia Huang, Jinde Cao and De-Shuang Huang

Determining the mass of the Higgs and the electroweak bosons pp. 899-905

M.S. El Naschie

2005, volume 24, articles 2

Chaotic dynamics in the Friedmann equation pp. 407-422

Yosuke Tanaka, Yuzi Mizuno and Tatsuhiko Kado

Dynamical systems on El Naschie’s ε(∞) Cantorian space–time pp. 423-441

G. Iovane, P. Giordano and S. Salerno

A note on the universe at two scales pp. 443-445

B.G. Sidharth

On 336 kissing spheres in 10 dimensions, 528 P-Brane states in 11 dimensions and the 60 elementary particles of the standard model pp. 447-457

M.S. El Naschie

Resolution of the Poincaré problem and nonexistence of algebraic limit cycles in family (I) of Chinese classification pp. 491-499

Javier Chavarriga, Isaac A. García and Jordi Sorolla

Dynamics of linear oscillator coupled to strongly nonlinear attachment with multiple states of equilibrium pp. 501-509

O.V. Gendelman and C.H. Lamarque

Scaling laws of earthquakes derived by renormalization group method pp. 511-518

Yukinori Iwashita and Ichiro Nakanishi

Lax representation and dynamical r-matrix for a new Neumann type integrable model pp. 519-526

Jinbing Chen

Property of period-doubling bifurcations pp. 527-532

Liqiu Wang and Mingtian Xu

A direct truncation method for finding abundant exact solutions and application to the one-dimensional higher-order Schrödinger equation pp. 533-547

Dun Zhao, Hong-Gang Luo, Shun-Jin Wang and Wei Zuo

Exact travelling wave solutions of the Whitham–Broer–Kaup and Broer–Kaup–Kupershmidt equations pp. 549-556

Guiqiong Xu and Zhibin Li

Solitary optical pulse propagation in fused fibre coupler—effect of Raman scattering and switching pp. 557-565

Basanti Mandal and A. Roy Chowdhury

Periodic motions and grazing in a harmonically forced, piecewise, linear oscillator with impacts pp. 567-578

Albert C.J. Luo and Lidi Chen

New class of symmetries and exact solution to the unsteady equations of adiabatic gas dynamics pp. 579-582

Souichi Murata

Bifurcations of a flexible rotor response in squeeze-film dampers without centering springs pp. 583-596

Jawaid I. Inayat-Hussain

Chaos synchronization and parameter identification of three time scales brushless DC motor system pp. 597-616

Z.-M. Ge and J.-W. Cheng

Hedging American contingent claims with constrained portfolios under a higher interest rate for borrowing pp. 617-625

Qingxin Meng and Bo Wang

A new loop algebra and a multi-component integrable system similar to the TC hierarchy pp. 627-630

Yuqin Yao

Bifurcations of traveling wave solutions for two coupled variant Boussinesq equations in shallow water waves pp. 631-643

Zhengdi Zhang, Qinsheng Bi and Jianping Wen

Direct characterization of chaotic and stochastic dynamics in a population model with strong periodicity pp. 645-652

Wen-wen Tung, Yan Qi, J.B. Gao, Yinhe Cao and Lora Billings

Higgs number from anomaly cancellation and super Riemann tensor pp. 653-657

M.S. El Naschie

2005, volume 24, articles 1

Einstein’s dream and fractal geometry pp. 1-5

M.S. El Naschie

Physical phenomena as sense determinate occurrences pp. 7-12

H.J. Sommer

Nonobservable space dimensions and the discreteness of time pp. 13-18

Abraham Boyarsky and Paweł Góra

Using the dimensionless Newton gravity constant α¯G to estimate planetary orbits pp. 19-27

Marçal de Oliveira Neto

The supersymmetric components of the Riemann–Einstein tensor as nine dimensional spheres in ten dimensional space pp. 29-32

M.S. El Naschie

Transition matrix analysis of earthquake magnitude sequences pp. 33-43

Michele Lovallo, Vincenzo Lapenna and Luciano Telesca

Thirty years of sociodynamics pp. 45-56

Wolfgang Weidlich

Multifractal characterization of blood pressure dynamics: stress-induced phenomena pp. 57-63

A.N. Pavlov, A.R. Ziganshin and O.A. Klimova

One-way Hash function construction based on the chaotic map with changeable-parameter pp. 65-71

Di Xiao, Xiaofeng Liao and Shaojiang Deng

Chaos in three species food chain system with impulsive perturbations pp. 73-83

Shuwen Zhang and Lansun Chen

Indirect Allee effect, bistability and chaotic oscillations in a predator–prey discrete model of logistic type pp. 85-101

Ricardo López-Ruiz and Danièle Fournier-Prunaret

Interaction-aided continuous time quantum search pp. 103-106

Joonwoo Bae, Younghun Kwon, Inchan Baek and Dalsun Yoon

Three-valued logic gates in reaction–diffusion excitable media pp. 107-114

Ikuko N. Motoike and Andrew Adamatzky

Scaling behaviors of CG clusters in coding and noncoding DNA sequences pp. 115-123

Linxi Zhang and Jin Chen

Bifurcations and chaos of a two-degree-of-freedom dissipative gyroscope pp. 125-136

Hsien-Keng Chen and Zheng-Ming Ge

Time-clustering analysis of forest-fire sequences in southern Italy pp. 139-149

Rosa Lasaponara, Adriano Santulli and Luciano Telesca

Fractal structures for a catalysed reaction on homogeneous and fractal surfaces pp. 151-156

A. Gómez, J.J. Luque and A. Córdoba

Experimental observation and characterization of chaotic properties in a driven infrared diode circuit pp. 157-163

Crystal Cooper

A multifractal description of wind speed records pp. 165-173

Rajesh G. Kavasseri and Radhakrishnan Nagarajan

Dynamic complexities in a mutual interference host–parasitoid model pp. 175-182

Cailin Xu and Mark S. Boyce

Guaranteed cost control of uncertain nonlinear neutral systems via memory state feedback pp. 183-190

Ju H. Park and K. Choi

Wave packet propagating in an electrical transmission line pp. 191-196

Mai-mai Lin and Wen-shan Duan

Exponential synchronization of a class of chaotic neural networks pp. 197-206

Chao-Jung Cheng, Teh-Lu Liao and Chi-Chuan Hwang

Optimal control of damping rotation of a rigid body using fly wheels with friction pp. 207-221

Awad El-Gohary

Weak and strong forms of α-irresolute maps pp. 223-228

M. Caldas, S. Jafari, T. Noiri and R.K. Saraf

Propagation of optical soliton in a multicomponent nonlinear medium pp. 229-233

K. Porsezian and P. Seenuvasakumaran

The multi-component Yang hierarchy and its multi-component integrable coupling system with two arbitrary functions pp. 235-240

Tie-Cheng Xia, Fa-Jun Yu and Deng-Yuan Chen

Design of secure digital communication systems using chaotic modulation, cryptography and chaotic synchronization pp. 241-255

Tsun-I Chien and Teh-Lu Liao

Symbolic computation in non-linear evolution equation: application to (3+1)-dimensional Kadomtsev–Petviashvili equation pp. 257-263

Fuding Xie, Ying Zhang and Zhuosheng Lü

Tracing initial conditions, historical evolutionary path and parameters of chaotic processes from a short segment of scalar time series pp. 265-271

Fangfang Lu, Daolin Xu and Guilin Wen

Universality of stretched Gaussian asymptotic diffusion behavior on biased heterogeneous fractal structure in external force fields pp. 273-278

Fu-Yao Ren, Yun Xu, Wei-Yuan Qiu and Jin-Rong Liang

Global exponential stability of BAM neural networks with delays and impulses pp. 279-285

Yongkun Li

On complete chaotic maps with tent-map-like structures pp. 287-299

Weihong Huang

Abundant families of new traveling wave solutions for the coupled Drinfel’d–Sokolov–Wilson equation pp. 301-307

Yuqin Yao

Variational principles for nonlinear fiber optics pp. 309-311

Juan Zhang, Jian-Yong Yu and Ning Pan

Characterizing spontaneous irregular behavior in coupled map lattices pp. 313-327

York Dobyns and Harald Atmanspacher

Small limit cycles bifurcating from fine focus points in cubic order Z2-equivariant vector fields pp. 329-348

P. Yu and M. Han

Development of a new diagnostic protocol using a neuro-dynamical tool pp. 349-352

Roberto Carniel

New peakon and multi-compacton solitary wave solutions of fully nonlinear sine-Gordon equation pp. 353-363

Lixin Tian and Jiuli Yin

Exact solitary-wave solutions with compact support for the modified KdV equation pp. 365-369

Yonggui Zhu, Qianshun Chang and Shengchang Wu

Chaotic synchronization via adaptive sliding mode observers subject to input nonlinearity pp. 371-381

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

Multiple structures of two-dimensional nonlinear Rossby wave pp. 383-390

Zuntao Fu, Shikuo Liu and Shida Liu