Chaos, Solitons & Fractals

2002 - 2025

Current editor(s): Stefano Boccaletti and Stelios Bekiros

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2005, volume 25, articles 5

A new solution for the two-slit experiment pp. 935-939

M.S. El Naschie

Thermal properties of bodies in fractal and cantorian physics pp. 941-954

Oldrich Zmeskal, Miroslav Buchnicek and Martin Vala

A guide to the mathematics of E-infinity Cantorian spacetime theory pp. 955-964

M.S. El Naschie

An underpinning for spacetime pp. 965-968

B.G. Sidharth

From experimental quantum optics to quantum gravity via a fuzzy Kähler manifold pp. 969-977

M.S. El Naschie

Some properties of slowly decaying oscillatory solutions of KP pp. 979-989

Mikhail Kovalyov and Ion Bica

Fractal principles of multidimensional data structurization for real-time pulse system dynamics forecasting and identification pp. 991-1006

Yury Kolokolov and Anna Monovskaya

Description of complex dynamics in a class of impulsive differential equations pp. 1007-1017

Wei Lin

A new Riccati equation rational expansion method and its application to (2+1)-dimensional Burgers equation pp. 1019-1028

Qi Wang, Yong Chen and Hongqing Zhang

Levy stable law of intermittency and multifractal spectrum in 28Si–AgBr collisions at 14.6AGeV pp. 1029-1035

R. Hasan, Saiful Islam and M. Mohib-ul Haq

Bounded travelling wave solutions for the (n+1)-dimensional sine- and sinh-Gordon equations pp. 1037-1047

Jibin Li and Ming Li

Synchronization of two different chaotic systems: a new system and each of the dynamical systems Lorenz, Chen and Lü pp. 1049-1056

Hsien-Keng Chen

Nonlinear PI control of chaotic systems using singular perturbation theory pp. 1057-1068

Wang Jiang, Wang Jing and Li Huiyan

Noise-induced chaos and basin erosion in softening Duffing oscillator pp. 1069-1081

Chunbiao Gan

Explicit and exact special solutions for BBM-like B(m,n) equations with fully nonlinear dispersion pp. 1083-1091

Shang Yadong

Hopf bifurcation in REM algorithm with communication delay pp. 1093-1105

Hong-Yong Yang and Yu-Ping Tian

Stability analysis of uncertain fuzzy large-scale system pp. 1107-1122

Xingwen Liu and Hongbin Zhang

Multiple bifurcations and periodic “bubbling” in a delay population model pp. 1123-1130

Mingshu Peng

Effective approaches to explore rich dynamics of delay-differential equations pp. 1131-1140

Mingshu Peng

Dynamical behaviors of Hopfield neural network with multilevel activation functions pp. 1141-1153

Yiguang Liu, Zhisheng You and Liping Cao

Doubly periodic solutions of the modified Kawahara equation pp. 1155-1160

Dan Zhang

Steady bifurcation and solitons in relativistic laser plasmas interaction pp. 1161-1167

Cuncai Hua, Baisong Xie and Kaifen He

On the solitary wave solutions of the CQNLS pp. 1169-1175

Cuncai Hua and Kaitai Li

Global stability of a SEIR epidemic model with infectious force in latent, infected and immune period pp. 1177-1184

Guihua Li and Zhen Jin

Chaotic synchronization with gap junction of multi-neurons in external electrical stimulation pp. 1185-1192

Deng Bin, Wang Jiang and Fei Xiangyang

LMI-based stability analysis of fuzzy large-scale systems with time delays pp. 1193-1207

Hongbin Zhang and Juebang Yu

Optimal pulse fishing policy in stage-structured models with birth pulses pp. 1209-1219

Shujing Gao, Lansun Chen and Lihua Sun

Stochastic optimal control of first-passage failure for coupled Duffing–van der Pol system under Gaussian white noise excitations pp. 1221-1228

Wei Li, Wei Xu, Junfeng Zhao and Shaojuan Ma

Optimal control of rigid body motion with the help of rotors using stereographic coordinates pp. 1229-1244

Awad El-Gohary

Synchronization of hyperchaotic oscillators via single unidirectional chaotic-coupling pp. 1245-1253

Yan-Li Zou, Jie Zhu, Guanrong Chen and Xiao-Shu Luo

Chaotic synchronization based on Lie derivative method pp. 1255-1259

Rongwei Guo, Debin Huang and Lizhen Zhang

Improved particle swarm optimization combined with chaos pp. 1261-1271

Bo Liu, Ling Wang, Yi-Hui Jin, Fang Tang and De-Xian Huang

2005, volume 25, articles 4

Bohr, Bohm and entwined paths pp. 769-774

G.N. Ord

Mohamed El Naschie’s ϵ(∞) Cantorian space–time and its consequences in cosmology pp. 775-779

G. Iovane

El Naschie’s instanton by means of the Schwarzschild’s gravitational field pp. 781-790

M. Agop, M. Jarcau and A. Stroe

Ramifications of non commutative space time pp. 791-795

B.G. Sidharth

On the transition from the classical to the quantum regime in fractal space–time theory pp. 797-803

L. Nottale

Periodic continued fraction representations of different quark’s mass ratios pp. 807-814

L. Marek Crnjac

Why are probabilistic laws governing quantum mechanics and neurobiology? pp. 815-834

Helmut Kröger

Atomic cluster physics: new challenges for theory and experiment pp. 835-843

Walter Greiner and Solov’yov, Andrey

Computational universes pp. 845-859

Karl Svozil

Theoretical poroelasticity—a new approach pp. 861-878

R. de Boer

Hypersingular integral equations, waveguiding effects in Cantorian Universe and genesis of large scale structures pp. 879-896

G. Iovane and P. Giordano

The scale change of Einstein’s equivalence principle pp. 897-899

Otto E. Rossler and Heinrich Kuypers

Riddling bifurcation and … interstellar journeys pp. 901-904

Tomasz Kapitaniak

Usability of synchronization for cognitive modeling pp. 905-910

Hans H. Diebner and Florian Grond

Kaluza–Klein and Felix Klein: The stringy relationship with the portrait of the artist as a young man pp. 911-913

M.S. El Naschie

2005, volume 25, articles 3

The two-slit experiment as the foundation of E-infinity of high energy physics pp. 509-514

M.S. El Naschie

On Cremonian dimensions qualitatively different from time and space pp. 515-520

Metod Saniga

‘t Hooft ultimate building blocks and space–time as an infinite dimensional set of transfinite discrete points pp. 521-524

M.S. El Naschie

Multiple scattering on deterministic fractal aggregates: analysis of the backscattered intensity pp. 525-529

N. Olivi-Tran and S. Kanani

On Penrose view of transfinite sets and computability and the fractal character of E-infinity spacetime pp. 531-533

M.S. El Naschie

Experimental implementation of collision-based gates in Belousov–Zhabotinsky medium pp. 535-544

Benjamin De Lacy Costello and Andrew Adamatzky

A few hints and some theorems about Witten’s M theory and T-duality pp. 545-548

M.S. El Naschie

Existence of horseshoe maps in current-mode controlled buck-boost dc/dc converters pp. 549-556

Dong Dai, Yue Ma, Chi Tse and Xikui Ma

New optimal control laws for attitude of a rigid body motion without angular velocity measurements pp. 557-571

Awad El-Gohary

A sliding mode observer based secure communication scheme pp. 573-578

Maoyin Chen, Donghua Zhou and Yun Shang

Chaos synchronization of a chaotic system via nonlinear control pp. 579-584

Ju H. Park

Quasi-periodic solutions for an extension of AKNS hierarchy and their reductions pp. 585-599

Zhenyun Qin

Further improved F-expansion method and new exact solutions of Konopelchenko–Dubrovsky equation pp. 601-610

Dengshan Wang and Hong-Qing Zhang

Exact solutions and conservation laws for a nonisospectral sine-Gordon equation pp. 611-620

Tong-ke Ning, Da-jun Zhang, Deng-yuan Chen and Shu-fang Deng

Localization of periodic orbits of polynomial vector fields of even degree by linear functions pp. 621-627

Konstantin E. Starkov

The periodic wave solutions for the (3+1)-dimensional Klein–Gordon–Schrödinger equations pp. 629-636

Xiaoyan Li, Sen Yang and Mingliang Wang

Stability and chaos in 2-D discrete systems pp. 637-647

Guanrong Chen, Chuanjun Tian and Yuming Shi

Non-linear response of electrode–electrolyte interface at high current density pp. 649-654

G.A. Ruiz, C.J. Felice and M.E. Valentinuzzi

Dynamical systems and the arising of cooperation in a Cournot duopoly pp. 655-664

Vittorio Cafagna and Paolo Coccorese

Dust-ion-acoustic solitary waves in a hot magnetized dusty plasma with charge fluctuations pp. 665-674

E.F. El-Shamy

Perturbation methods and the Melnikov functions for slowly varying oscillators pp. 675-680

Faouzi Lakrad and Moulay Mustapha Charafi

Chaos for induced hyperspace maps pp. 681-685

John Banks

Anticontrol of chaos for dynamic systems in p-normal form: A homogeneity-based approach pp. 687-697

Ruoting Yang, Yiguang Hong, Huashu Qin and Guanrong Chen

On synchronization of unified chaotic systems via nonlinear Control pp. 699-704

Ju H. Park

New ansätz for obtaining wave solutions of the generalized Camassa–Holm equation pp. 705-710

S.A. Khuri

Sensitivity tools vs. Poincaré sections pp. 711-726

Roberto Barrio

Generation and control of multi-scroll chaotic attractors in fractional order systems pp. 727-735

Wajdi M. Ahmad

EMU and the stability and volatility of foreign exchange: Some empirical evidence pp. 737-750

Mikael Bask and Xavier de Luna

Global robust exponential stability analysis for interval neural networks with time-varying delays pp. 751-757

Chuandong Li, Xiaofeng Liao, Rong Zhang and Ashutosh Prasad

Gödel universe, dualities and high energy particles in E-infinity pp. 759-764

M.S. El Naschie

2005, volume 25, articles 2

Symmetry-breaking in the response of the parametrically excited pendulum model pp. 257-264

S.R. Bishop, A. Sofroniou and P. Shi

Wavelet-based prediction of oil prices pp. 265-275

Shahriar Yousefi, Ilona Weinreich and Dominik Reinarz

Topological reduction of information systems pp. 277-286

E.F. Lashin and T. Medhat

Numerical study of traveling-wave solutions for the Camassa–Holm equation pp. 287-298

Henrik Kalisch and Jonatan Lenells

The stability problem in the Kaldor–Kalecki business cycle model pp. 299-305

Marek Szydłowski and Adam Krawiec

Fractal-Markovian scaling of turbulent bursting process in open channel flow pp. 307-318

Ali Reza Keshavarzi, Ali Naghi Ziaei, Emdad Homayoun and Amin Shirvani

Singularity structure analysis of inhomogeneous Hirota and higher order nonlinear Schrödinger equations pp. 319-323

A. Mahalingam and T. Alagesan

Parameter mismatches, variable delay times and synchronization in time-delayed systems pp. 325-331

E.M. Shahverdiev, R.A. Nuriev, R.H. Hashimov and K.A. Shore

Adaptive synchronization of Rossler system with uncertain parameters pp. 333-338

Ju H. Park

Scaling behaviors of CG clusters for chromosomes pp. 339-346

Jun Cheng and Linxi Zhang

Adaptive variable structure control for uncertain chaotic systems containing dead-zone nonlinearity pp. 347-355

Jun-Juh Yan, Kuo-Kai Shyu and Jui-Sheng Lin

A note on the robust stability of neural networks with time delay pp. 357-360

Hongbin Zhang, Chunguang Li and Xiaofeng Liao

An approach of parameter estimation for non-synchronous systems pp. 361-366

Daolin Xu and Fangfang Lu

On the analysis of spatial chaos and Hopf bifurcation in an optical open flow pp. 367-378

Papri Saha, B. Rakshit and A. Roy Chowdhury

Feedback and adaptive synchronization of chaotic Lü system pp. 379-386

M.T. Yassen

The average-shadowing property and topological ergodicity for flows pp. 387-392

Rongbao Gu and Wenjing Guo

Global dissipativity of neural networks with both variable and unbounded delays pp. 393-401

Qiankun Song and Zhenjiang Zhao

Generating chaos via decentralized linear state feedback and a class of nonlinear functions pp. 403-413

Jun Guo Lu

Effect of bounded noise on chaotic motion of a triple-well potential system pp. 415-424

Xiaoli Yang, Wei Xu, Zhongkui Sun and Tong Fang

A simple method for generating integrable hierarchies with multi-potential functions pp. 425-439

Engui Fan and Yufeng Zhang

Global exponential periodicity of a class of neural networks with recent-history distributed delays pp. 441-447

Xiaofan Yang, Xiaofeng Liao, Graham M. Megson and David J. Evans

Characterizing chaotic processes that generate uniform invariant density pp. 449-460

Weihong Huang

Forced phase-locked response of a nonlinear system with time delay after Hopf bifurcation pp. 461-473

J.C. Ji and Colin H. Hansen

Bäcklund transformation and soliton solutions for KP equation pp. 475-480

Shu-fang Deng

Interactions among different types of solitary waves in (2+1)-dimensional system pp. 481-490

Cheng-lin Bai, Cheng-jie Bai and Hong Zhao

Nonlinear analysis of sequence symmetry of beta-trefoil family proteins pp. 491-497

Mingfeng Li, Yanzhao Huang, Ruizhen Xu and Yi Xiao

Experimental study of dynamic behaviors and routes to chaos in DC–DC boost converters pp. 499-507

D. Cafagna and G. Grassi

2005, volume 25, articles 1

Modeling of consciousness pp. 1-3

E.A. Novikov

Fractal analysis of eight glacial cycles from an Antarctic ice core pp. 5-10

Michael R. King

Oscillations induced by the time lags in limited nutrient–consumer dynamic models pp. 11-23

V. Sree Hari Rao and P. Raja Sekhara Rao

On redefining a snap-back repeller pp. 25-28

F.R. Marotto

Some non-conventional ideas about algorithmic complexity pp. 29-32

D’Abramo, Germano

Robinson’s chaos in set-valued discrete systems pp. 33-42

Heriberto Román-Flores and Y. Chalco-Cano

Unidirectional synchronization of Hodgkin–Huxley neurons pp. 43-53

Octavio Cornejo-Pérez and Ricardo Femat

The tanh method: solitons and periodic solutions for the Dodd–Bullough–Mikhailov and the Tzitzeica–Dodd–Bullough equations pp. 55-63

Abdul-Majid Wazwaz

Topological invariants in nonlinear boundary value problems pp. 65-78

Sandra Vinagre, Ricardo Severino and J. Sousa Ramos

Analysis of the multiplicative Lorenz system pp. 79-90

Dorota Aniszewska and Marek Rybaczuk

Hopf bifurcation and chaos in macroeconomic models with policy lag pp. 91-108

Xiaofeng Liao, Chuandong Li and Shangbo Zhou

Breaking a chaos-based secure communication scheme designed by an improved modulation method pp. 109-120

Shujun Li, Gonzalo Álvarez and Guanrong Chen

Chaotic analysis of traffic time series pp. 121-128

Pengjian Shang, Xuewei Li and Santi Kamae

Hopf bifurcation in numerical approximation of a n-dimension neural network model with multi-delays pp. 129-146

Chunrui Zhang and Baodong Zheng

Explicit formula for singular vectors of the Virasoro algebra with central charge less than 1 pp. 147-151

Reiho Sakamoto

Cusp solitons and cusp-like singular solutions for nonlinear equations pp. 153-163

Zhijun Qiao and Xin Brian Qiao

A further insight into stochastic resonance in an integrate-and-fire neuron with noisy periodic input pp. 165-170

Yan-Mei Kang, Jian-Xue Xu and Yong Xie

A note on exact traveling solitary wave solutions of integrable Broer–Kaup (BK) equations in (2+1)-dimensional spaces pp. 171-175

Xiqiang Zhao, Limin Wang and Tangjin Zhao

Standard forms of elliptic integrals and their applications to nonlinear evolution equations pp. 177-184

Zhaosheng Feng

Nonlinear dynamics of ladder and lambda STIRAP pp. 185-196

Kyungsun Na and L.E. Reichl

Hopf bifurcation and chaos analysis of Chen’s system with distributed delays pp. 197-220

Xiaofeng Liao and Guanrong Chen

Multiple access chaotic digital communication based on generalized synchronization pp. 221-227

Jun Guo Lu

θ-Compact fuzzy topological spaces pp. 229-232

M. Caldas and S. Jafari

A dynamic IS-LM model with delayed taxation revenues pp. 233-244

Luigi De Cesare and Mario Sportelli

Chaotic and periodic motions of two competing vehicles controlled by traffic lights pp. 245-253

Takashi Nagatani and Ryoichi Nagai