Chaos, Solitons & Fractals

2002 - 2025

Current editor(s): Stefano Boccaletti and Stelios Bekiros

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2006, volume 28, articles 5

The golden mean in the topology of four-manifolds, in conformal field theory, in the mathematical probability theory and in Cantorian space-time pp. 1113-1118

L. Marek-Crnjac

A fractal analysis of skin pigmented lesions using the novel tool of the variogram technique pp. 1119-1135

Mario Mastrolonardo, Elio Conte and Joseph P. Zbilut

An elementary proof for the nine missing particles of the standard model pp. 1136-1138

M.S. El Naschie

Strange nonchaotic attractors in a fifth-order amplitude equation of Rayleigh–Bénard system near the codimension-two point pp. 1139-1148

E.J. Ngamga Ketchamen, L. Nana and T.C. Kofane

Accuracy of the Adomian decomposition method applied to the Lorenz system pp. 1149-1158

I. Hashim, M.S.M. Noorani, R. Ahmad, S.A. Bakar, E.S. Ismail and A.M. Zakaria

Equilibrium and bifurcation of varying cross-section microcantilevers subject to the atomic force pp. 1159-1164

Li-Qun Chen, Hao Chen and Jean W. Zu

Study on chaos induced by turbulent maps in noncompact sets pp. 1165-1180

Yuming Shi and Pei Yu

Fixed and periodic points in the probabilistic normed and metric spaces pp. 1181-1187

M.B. Ghaemi and Abdolrahman Razani

Lie symmetry analysis for classification on pattern in excitable media pp. 1188-1195

Souichi Murata and Hiroyasu Yamada

A new butterfly-shaped attractor of Lorenz-like system pp. 1196-1203

Liu Chongxin, Liu Ling, Liu Tao and Li Peng

Parameters identification of chaotic systems via chaotic ant swarm pp. 1204-1211

Lixiang Li, Yixian Yang, Haipeng Peng and Xiangdong Wang

Anisotropic characters in two-dimensional hexagonal crystal pp. 1212-1221

Wen-shan Duan and Mai-mai Lin

Mathematical models and stabilizing bio-control mechanisms for microbial populations in a cultured environment pp. 1222-1251

V. Sree Hari Rao and P. Raja Sekhara Rao

Different faces of chaos in FRW models with scalar fields—geometrical point of view pp. 1252-1270

Orest Hrycyna and Marek Szydłowski

Dimension of invariant sets for mappings with the squeezing property pp. 1271-1280

Andrzej Lasota and Janusz Traple

A note on the Painlevé analysis of a (2+1) dimensional Camassa–Holm equation pp. 1281-1284

P.R. Gordoa, A. Pickering and M. Senthilvelan

Fractionalization of the complex-valued Brownian motion of order n using Riemann–Liouville derivative. Applications to mathematical finance and stochastic mechanics pp. 1285-1305

Guy Jumarie

Determination of periodic orbits of nonlinear oscillators by means of piecewise-linearization methods pp. 1306-1313

J.I. Ramos

The influence of coupling on chaotic maps modelling bursting cells pp. 1314-1326

Jorge Duarte, Luís Silva and J. Sousa Ramos

Unwrapping trajectories of a quasi-periodic forced oscillator can give maps of the real line with SNA pp. 1327-1336

R. Badard

Fractal methods and the problem of estimating scaling exponents: A new approach based on upper and lower linear bounds pp. 1337-1346

Antoine Saucier and François Soumis

Nonlinear spatiotemporal stability of solitons against external perturbations pp. 1347-1355

G.I. de Oliveira and F.B. Rizzato

Strange distributionally chaotic triangular maps II pp. 1356-1365

L. Paganoni and J. Smítal

On the vital role played by the electron-volt units system in high energy physics and Mach’s principle of “Denkökonomie” pp. 1366-1371

M.S. El Naschie

2006, volume 28, articles 4

Irreversible processes and a new model for the Universe pp. 846-856

Attilio Maccari

Cantorian spacetime and Hilbert space: Part I—Foundations pp. 857-878

G. Iovane

The classical limit of non-integrable quantum systems, a route to quantum chaos pp. 879-898

Mario Castagnino and Olimpia Lombardi

Pentaquark mass sum rule and the Higgs pp. 899-901

M.S. El Naschie

A note on intuitionistic fuzzy metric spaces pp. 902-905

V. Gregori, S. Romaguera and P. Veeramani

Compactness in fuzzy minimal spaces pp. 906-912

M. Alimohammady and M. Roohi

Complexity in quantum field theory and physics beyond the standard model pp. 913-922

Ervin Goldfain

Time–space fabric underlying anomalous diffusion pp. 923-929

W. Chen

Non-perturbative analytical solutions of the space- and time-fractional Burgers equations pp. 930-937

Shaher Momani

A generalized MKdV hierarchy, tri-Hamiltonian structure, higher-order binary constrained flows and its integrable couplings system pp. 938-948

Tiecheng Xia and Fucai You

On some generalization of fractional Brownian motions pp. 949-957

Xiao-Tian Wang, Xiang-Qian Liang, Fu-Yao Ren and Shi-Ying Zhang

Weierstrass-like functions on local fields and their p-adic derivatives pp. 958-965

Qiu Hua and Su Weiyi

Vector loop algebra and its applications to integrable system pp. 966-971

Engui Fan and Yufeng Zhang

A novel class of solutions for a non-linear third order wave equation generated by the Weierstraß transformation pp. 972-978

Alfred Huber

Topological entropy for induced hyperspace maps pp. 979-982

Jose S. Cánovas Peña and Gabriel Soler López

Influence of Kerr-like medium on a nonlinear two-level atom pp. 983-993

A.-S.F. Obada, M.M.A. Ahmed, F.K. Faramawy and E.M. Khalil

Dust–ion–acoustic solitons and shocks in dusty plasmas pp. 994-999

Waleed M. Moslem

Biological function and the genetic code are interdependent pp. 1000-1004

Øyvind Albert Voie

Compactons, solitons and periodic solutions for some forms of nonlinear Klein–Gordon equations pp. 1005-1013

Abdul-Majid Wazwaz

The continuous functions for the Fibonacci and Lucas p-numbers pp. 1014-1025

Alexey Stakhov and Boris Rozin

Cell size and cell number as links between noncoding DNA and metabolic rate scaling pp. 1026-1028

Ji-Huan He

Adaptive fuzzy synchronization of discrete-time chaotic systems pp. 1029-1036

Nastaran Vasegh and Vahid Johari Majd

Network clustering coefficient approach to DNA sequence analysis pp. 1037-1045

Günther J.L. Gerhardt, Ney Lemke and Gilberto Corso

Fractal structure of iterative time profiles of a tubular chemical reactor with recycle pp. 1046-1054

M. Berezowski and K. Bizon

Effects of positive electrical feedback in the oscillating Belousov–Zhabotinsky reaction: Experiments and simulations pp. 1055-1066

K. Sriram

Chaos of a sequence of maps in a metric space pp. 1067-1075

Chuanjun Tian and Guanrong Chen

The isospin dependence of the nucleus–nucleus inelastic cross-section at high energy pp. 1076-1081

M. Rashdan, A.M. Farhan, E. Hassib and W. Abdel Kareem

An new self-organizing maps strategy for solving the traveling salesman problem pp. 1082-1089

Yanping Bai, Wendong Zhang and Zhen Jin

On fuzzy upper and lower s-limit sets pp. 1090-1098

Erdal Ekici

Accelerated expansion in a stochastic self-similar fractal universe pp. 1099-1105

Eduardo Sergio Santini and Guillermo Andrés Lemarchand

The Kadomstev–Petviashvili equation in dusty plasma with variable dust charge and two temperature ions pp. 1106-1111

Tarsem Singh Gill, Nareshpal Singh Saini and Harvinder Kaur

2006, volume 28, articles 3

The arrow of time, complexity and the scale free analysis pp. 581-589

Dhurjati Prasad Datta and Santanu Raut

Self-pulsing and chaos of a two-photon optical bistable model in a ring cavity pp. 590-600

S.M.A. Maize

Towards a non-linear trading strategy for financial time series pp. 601-615

Fernanda Strozzi and José-Manuel Zaldívar Comenges

Expectation-based intelligent control pp. 616-626

Michail Zak

Predictions of quasi-periodic and chaotic motions in nonlinear Hamiltonian systems pp. 627-649

Albert C.J. Luo

Fission, fusion and annihilation in the interaction of localized structures for the (2+1)-dimensional generalized Broer–Kaup system pp. 650-667

Emmanuel Yomba and Yan-ze Peng

On some stochastic properties in Devaney’s chaos pp. 668-672

Salim Lardjane

Breaking the symmetry of the parametrically excited pendulum pp. 673-681

Anastasia Sofroniou and Steven R. Bishop

Complex dynamics and spatio-temporal patterns in a network of three distributed chemical reactors with periodical feed switching pp. 682-706

Lucia Russo, Pietro Altimari, Erasmo Mancusi, Pier Luca Maffettone and Silvestro Crescitelli

Synchronization of chaotic systems based on SDRE method pp. 707-715

A. Jayaram and M. Tadi

Inwards propagating waves in heterogeneous limit cycle media pp. 716-723

M. Gutman, A. Rabinovitch and I. Aviram

Output feedback form of Chua’s circuit and modular adaptive control of chaos using single measurement pp. 724-738

Ganesh B. Maganti and Sahjendra N. Singh

Chaotic hyperjerk systems pp. 739-746

Konstantinos E. Chlouverakis and J.C. Sprott

On mixing property in set-valued discrete systems pp. 747-754

Rongbao Gu and Wenjing Guo

Information flow between weakly interacting lattices of coupled maps pp. 755-767

York Dobyns and Harald Atmanspacher

Multifractal analysis of the long-range correlations in the cardiac dynamics of Drosophila melanogaster pp. 768-775

Nikolay K. Vitanov and Elka D. Yankulova

Blow-up solutions obtained using the decomposition method pp. 776-787

D. Lesnic

Relations between distributional, Li–Yorke and ω chaos pp. 788-792

Juan Luis García Guirao and Marek Lampart

Global asymptotic stability of generalized bi-directional associative memory networks with discrete and distributed delays pp. 793-803

Yurong Liu, Zidong Wang and Xiaohui Liu

Controlled transport of solitons and bubbles using external perturbations pp. 804-821

J.A. González, A. Marcano, B.A. Mello and Lourdes Trujillo

Determining the flexibility of regular and chaotic attractors pp. 822-833

Marko Marhl and Matjaž Perc

Traveling wavetrains in the complex cubic–quintic Ginzburg–Landau equation pp. 834-843

Stefan C. Mancas and S. Roy Choudhury

2006, volume 28, articles 2

Application of E-infinity theory to biology pp. 285-289

Ji-Huan He

Elementary particle mass, subquark model and E-infinity theory pp. 290-305

Yosuke Tanaka

El Naschie’s space–time and gravitational instanton in Weyl–Dirac theory pp. 306-312

M. Agop, A. Stroe and C. Murgulet

Quantum teleportation in three parties with an accelerated receiver pp. 313-319

Jeongwan Jin, Soyoung Park and Younghun Kwon

A comparison between two different methods for solving KdV–Burgers equation pp. 320-326

M.A. Helal and M.S. Mehanna

New exact solution of the blast wave problem in gas dynamics pp. 327-330

Souichi Murata

Stability analysis for cellular neural networks with variable delays pp. 331-336

Qiang Zhang, Xiaopeng Wei and Jin Xu

Inequivalent topologies of chaos in simple equations pp. 337-360

Christophe Letellier, Elise Roulin and Otto E. Rössler

Time-scaling analysis of southern Aegean seismicity pp. 361-366

Luciano Telesca, Irini Nikolitanga and Filippos Vallianatos

Chaos in periodically forced Holling type II predator–prey system with impulsive perturbations pp. 367-376

Shuwen Zhang, Dejun Tan and Lansun Chen

Smale horseshoe via the anti-integrability pp. 377-385

Yi-Chiuan Chen

Stability and bifurcation of a discrete red blood cell survival model pp. 386-394

Chunrui Zhang, Yuangang Zu and Baodong Zheng

Anomalous momentum diffusion in the classical kicked rotor pp. 395-402

Yindong Zheng and Donald H. Kobe

The dynamics of a triopoly Cournot game when the competitors operate under capacity constraints pp. 403-413

Tönu Puu and Manuel Ruíz Marín

First-passage problem for strong nonlinear stochastic dynamical systems pp. 414-421

Wei Li, Wei Xu, Junfeng Zhao and Yanfei Jin

Further results on delay-dependent robust stability of uncertain fuzzy systems with time-varying delay pp. 422-427

Chang-Hua Lien

Global synchronization of two parametrically excited systems using active control pp. 428-436

Youming Lei, Wei Xu, Jianwei Shen and Tong Fang

Delay-dependent asymptotic stability of a two-neuron system with different time delays pp. 437-447

Fenghua Tu, Xiaofeng Liao and Wei Zhang

The repeated homogeneous balance method and its applications to nonlinear partial differential equations pp. 448-453

Xiqiang Zhao, Limin Wang and Weijun Sun

Two reliable methods for solving variants of the KdV equation with compact and noncompact structures pp. 454-462

Abdul-Majid Wazwaz

Monotonous property of non-oscillations of the damped Duffing’s equation pp. 463-471

Zhaosheng Feng

The emergence of chaos in complex dynamical networks pp. 472-479

Hai-Feng Zhang, Rui-Xin Wu and Xin-Chu Fu

Complete synchronization and stability of star-shaped complex networks pp. 480-488

Ya-Qin Gu, Chun Shao and Xin-Chu Fu

New exact solutions for the sinh-Gordon equation pp. 489-496

Huiqun Zhang

Spatial correlation genetic algorithm for fractal image compression pp. 497-510

Ming-Sheng Wu, Wei-Chih Teng, Jyh-Horng Jeng and Jer-Guang Hsieh

A new reduced-order observer design for the synchronization of Lorenz systems pp. 511-517

R. Martínez-Guerra, J.C. Cruz-Victoria, R. Gonzalez-Galan and R. Aguilar-Lopez

Temperature definition and fundamental thermodynamic relations in incomplete statistics pp. 518-521

Congjie Ou, Jincan Chen and Qiuping A. Wang

Modeling of inelastic impacts with the help of smooth-functions pp. 522-526

Oleg V. Gendelman

A dynamical systems approach to the overturning of rocking blocks pp. 527-542

Stefano Lenci and Giuseppe Rega

Bifurcation analysis of the statics and dynamics of a logistic model with two delays pp. 543-554

M. Berezowski and E. Fudała

Stability and dynamics of a controlled van der Pol–Duffing oscillator pp. 555-570

J.C. Ji and C.H. Hansen

On the relation between Rayleigh–Bénard convection and Lorenz system pp. 571-578

Zhi-Min Chen and W.G. Price

2006, volume 28, articles 1

Topological quantum dynamics of charged bosons pp. 1-7

Marina-Aura Dariescu, Ciprian Dariescu and Gabriel Murariu

Statistical approach to fractal-structured systems: An illustration from the physics of semiconductor heterostructures pp. 8-19

A.R. Vasconcellos, E. Laureto, E.A. Meneses and R. Luzzi

Fuzzy Um-sets and fuzzy (U,m)-continuous functions pp. 20-25

M. Alimohammady and M. Roohi

Chaos and randomness: An equivalence proof of a generalized version of the Shannon entropy and the Kolmogorov–Sinai entropy for Hamiltonian dynamical systems pp. 26-31

Roman Frigg

Almost strongly θ-precontinuous functions pp. 32-41

Jin Han Park, Sang Wook Bae and Yong Beom Park

Multi-pulse orbits and chaotic dynamics in motion of parametrically excited viscoelastic moving belt pp. 42-66

Wei Zhang and Minghui Yao

Dynamical behaviors of a partial-dependent predator–prey system pp. 67-75

Zunshui Cheng, Yiping Lin and Jinde Cao

Classification of homoclinic tangencies for periodically perturbed systems pp. 76-89

Yun Tang, Fenghong Yang, Guanrong Chen and Tianshou Zhou

Viral infection model with periodic lytic immune response pp. 90-99

Kaifa Wang, Wendi Wang and Xianning Liu

Phenomenology of glider collisions in cellular automaton Rule 54 and associated logical gates pp. 100-111

Genaro Juárez Martínez, Andrew Adamatzky and Harold V. McIntosh

Improved Jacobi-function method with symbolic computation to construct new double-periodic solutions for the generalized Ito system pp. 112-126

Xueqin Zhao, Hongyan Zhi and Hongqing Zhang

Exact solutions for the generalized sine-Gordon and the generalized sinh-Gordon equations pp. 127-135

Abdul-Majid Wazwaz

Control of impact oscillator pp. 136-142

June-Yule Lee and Jun-Juh Yan

Fractional Poisson process (II) pp. 143-147

Xiao-Tian Wang, Zhi-Xiong Wen and Shi-Ying Zhang

Analytical solutions of the discrete nonlinear Schrödinger equation in arrays of optical fibers pp. 148-153

Jean Roger Bogning and Timoléon Crépin Kofane

A based-on LMI stability criterion for delayed recurrent neural networks pp. 154-160

Jinling Liang and Jinde Cao

Delay induced Hopf bifurcation in a simplified network congestion control model pp. 161-172

Zhanfeng Wang and Tianguang Chu

Lyapunov stability for a class of predator–prey model with delayed nutrient recycling pp. 173-181

Jian Xu, Lijun Pei and Zhiqi Lu

Dynamical behaviours of a 3D hysteresis-based system pp. 182-192

Fengling Han, Jinhu Lü, Xinghuo Yu and Guanrong Chen

On stationary solutions of the reduced Ostrovsky equation: Periodic waves, compactons and compound solitons pp. 193-204

Y.A. Stepanyants

Bifurcation diagram features of a dc–dc converter under current-mode control pp. 205-212

Mohsen Ruzbehani, Luowei Zhou and Mingyu Wang

Impulsive control and synchronization of general chaotic system pp. 213-218

Dilan Chen, Jitao Sun and Changshui Huang

Adaptive synchronization of Chua’s circuits with fully unknown parameters pp. 219-227

H.N. Agiza and A.E. Matouk

Chaotic synchronization by replacing nonlinear terms with signals pp. 228-235

Rong-An Tang and Ju-Kui Xue

Inherent randomicity in 4-symbolic dynamics pp. 236-243

Yagang Zhang, Changjiang Wang and Zhong Zhou

Synchronization and parameter identification of high-dimensional discrete chaotic systems via parametric adaptive control pp. 244-251

Yu Yang, Xi-Kui Ma and Hao Zhang

Hyperchaos–chaos–hyperchaos transition in modified Rössler systems pp. 252-263

Svetoslav Nikolov and Sébastien Clodong

Security analysis of chaotic communication systems based on Volterra–Wiener–Korenberg model pp. 264-270

Min Lei, Guang Meng and Zhengjin Feng

Nonlinear impulsive system of fed-batch culture in fermentative production and its properties pp. 271-277

Caixia Gao, Kezan Li, Enmin Feng and Zhilong Xiu