Chaos, Solitons & Fractals

2002 - 2025

Current editor(s): Stefano Boccaletti and Stelios Bekiros

From Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().

Access Statistics for this journal.
Is something missing from the series or not right? See the RePEc data check for the archive and series.

2006, volume 27, articles 5

Application of He’s variational iteration method to Helmholtz equation pp. 1119-1123

Shaher Momani and Salah Abuasad

Fundamentals of a new kind of mathematics based on the Golden Section pp. 1124-1146

Alexey Stakhov

The Minkowski dimension of the bivariate fractal interpolation surfaces pp. 1147-1156

Robert Małysz

More on θ-compact fuzzy topological spaces pp. 1157-1161

Erdal Ekici

Theory of Binet formulas for Fibonacci and Lucas p-numbers pp. 1162-1177

Alexey Stakhov and Boris Rozin

Fast fractal image encoding using one-norm of normalised block pp. 1178-1186

Chuanjiang He, Xiaozeng Xu and Jing Yang

Dynamical duality of type- and token-computation as an abstract brain pp. 1187-1204

Yukio-Pegio Gunji, Hiroyuki Miyoshi, Tatsuji Takahashi and Moto Kamiura

On a family of models of cell division cycle pp. 1205-1212

d’Onofrio, Alberto

A simple multi-scroll hyperchaotic system pp. 1213-1219

Wajdi M. Ahmad

Oscillators in resonance p:q:r pp. 1220-1228

M. Arribas, A. Elipe, L. Floría and A. Riaguas

Piecewise-linearized methods for oscillators with limit cycles pp. 1229-1238

J.I. Ramos

Dynamics of modified Leslie–Gower-type prey–predator model with seasonally varying parameters pp. 1239-1255

Sunita Gakkhar and Brahampal Singh

Bifurcations and competing coherent structures in the cubic-quintic Ginzburg–Landau equation I: Plane wave (CW) solutions pp. 1256-1271

Stefan Mancas and S. Roy Choudhury

Chaotic synchronization of two coupled neurons via nonlinear control in external electrical stimulation pp. 1272-1278

Jiang Wang, Bin Deng and Xiangyang Fei

Synchronization of a class of chaotic dynamic systems with controller gain variations pp. 1279-1284

Ju H. Park

Transition to a pair of chaotic symmetric flows pp. 1285-1291

Zhi-Min Chen and W.G. Price

Synchronization of the unified chaotic systems via active control pp. 1292-1297

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

Anti-control of chaos of single time scale brushless dc motors and chaos synchronization of different order systems pp. 1298-1315

Zheng-Ming Ge, Ching-Ming Chang and Yen-Sheng Chen

Order in binary sequences and the routes to chaos pp. 1316-1320

Ricardo López-Ruiz

New exact solutions and fractal patterns of generalized Broer–Kaup system via a mapping approach pp. 1321-1327

Chun-Long Zheng and Jian-Ping Fang

Convergence of trajectories in fractal interpolation of stochastic processes pp. 1328-1338

Robert Małysz

Considerations on the application of the chaos paradigm to describe the postural sway pp. 1339-1346

Paolo Pascolo, Fausto Barazza and Roberto Carniel

Global asymptotic stability of BAM neural networks with distributed delays and reaction–diffusion terms pp. 1347-1354

Bao Tong Cui and Xu Yang Lou

First-passage time for stability analysis of the Kaldor model pp. 1355-1368

Peter C. Chu

Synchronization of Genesio chaotic system via backstepping approach pp. 1369-1375

Ju H. Park

Bounded solutions for fuzzy differential and integral equations pp. 1376-1386

Juan J. Nieto and Rosana Rodríguez-López

Nonlinear dynamic behaviors of an optically injected vertical-cavity surface-emitting laser pp. 1387-1394

Xiaofeng Li, Wei Pan, Bin Luo, Dong Ma, Yong Wang and Nuohan Li

Stability and bifurcation in a harvested one-predator–two-prey model with delays pp. 1395-1407

Zhihua Liu and Rong Yuan

Suppressing chaos via Lyapunov–Krasovskii’s method pp. 1408-1414

J.L. Kuang, P.A. Meehan and A.Y.T. Leung

The “golden” algebraic equations pp. 1415-1421

A. Stakhov and B. Rozin

2006, volume 27, articles 4

The idealized quantum two-slit gedanken experiment revisited—Criticism and reinterpretation pp. 843-849

Mohamed Saladin El Naschie

The mass spectrum of hadrons and E-infinity theory pp. 851-863

Yosuke Tanaka

An allometric scaling law between gray matter and white matter of cerebral cortex pp. 864-867

Ji-Huan He

On the “relativistic” description of motion of soliton-like defects in elastic media pp. 868-880

E. Caccese and F. Guarracino

New exact solutions to the mKdV equation with variable coefficients pp. 881-886

Chaoqing Dai, Jiamin Zhu and Jiefang Zhang

Neuronal synchrony detection on single-electron neural networks pp. 887-894

Takahide Oya, Tetsuya Asai, Ryo Kagaya, Tetsuya Hirose and Yoshihito Amemiya

Bifurcations of forced oscillators with fuzzy uncertainties by the generalized cell mapping method pp. 895-904

Ling Hong and Jian-Qiao Sun

Robust synchronization of delayed neural networks based on adaptive control and parameters identification pp. 905-913

Jin Zhou, Tianping Chen and Lan Xiang

Modulational instability and spatiotemporal transition to chaos pp. 914-925

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

3+1 dimensional envelop waves and its stability in magnetized dusty plasma pp. 926-929

Wen-shan Duan

Adaptive fuzzy observer based synchronization design and secure communications of chaotic systems pp. 930-940

Chang-Ho Hyun, Jae-Hun Kim, Euntai Kim and Mignon Park

Stable torus and its bifurcation phenomena in a simple three-dimensional autonomous circuit pp. 941-951

Y. Nishiuchi, T. Ueta and H. Kawakami

Crisis of interspike intervals in Hodgkin–Huxley model pp. 952-958

Wu-yin Jin, Jian-xue Xu, Ying Wu, Ling Hong and Yao-bing Wei

A generalized F-expansion method to find abundant families of Jacobi Elliptic Function solutions of the (2+1)-dimensional Nizhnik–Novikov–Veselov equation pp. 959-979

Yu-Jie Ren and Hong-Qing Zhang

Chaos in periodically forced Holling type IV predator–prey system with impulsive perturbations pp. 980-990

Shuwen Zhang, Dejun Tan and Lansun Chen

Bifurcation and stability of forced convection in tightly coiled ducts: stability pp. 991-1005

Liqiu Wang, Ophelia Pang and Lin Cheng

Exponential stability analysis of stochastic delayed cellular neural network pp. 1006-1010

Jin Hu, Shouming Zhong and Li Liang

Guaranteed cost control of time-delay chaotic systems pp. 1011-1018

Ju H. Park and O.M. Kwon

Control of chaos in a piecewise smooth nonlinear system pp. 1019-1025

Takuji Kousaka, Tetsushi Ueta, Yue Ma and Hiroshi Kawakami

Generalized extended tanh-function method and its application pp. 1026-1035

Cheng-Lin Bai and Hong Zhao

The multi-component TD hierarchy and its multi-component integrable coupling system with five arbitrary functions pp. 1036-1041

Fajun Yu, Tiecheng Xia and Hongqing Zhang

Jacobian elliptic function method for nonlinear differential-difference equations pp. 1042-1047

Chaoqing Dai and Jiefang Zhang

Expansion of the Lie algebra and its applications pp. 1048-1055

Fukui Guo and Yufeng Zhang

A study on stochastic resonance of one-dimensional bistable system in the neighborhood of bifurcation point with the moment method pp. 1056-1066

Guang-Jun Zhang and Jian-Xue Xu

A new method for solving nonlinear differential-difference equation pp. 1067-1071

Fuding Xie and Jingquan Wang

Hopf bifurcation of the stochastic model on HAB nonlinear stochastic dynamics pp. 1072-1079

Dongwei Huang, Hongli Wang, Jianfeng Feng and Zhi-wen Zhu

Dynamical behavior for stochastic lattice systems pp. 1080-1090

Yan Lv and Jianhua Sun

Stability of limit cycles in a pluripotent stem cell dynamics model pp. 1091-1107

Mostafa Adimy, Fabien Crauste, Andrei Halanay, Mihaela Neamţu and Dumitru Opriş

A novel model for allometric scaling laws for different organs pp. 1108-1114

Ji-Huan He and Zhende Huang

2006, volume 27, articles 3

Different Higgs models and the number of Higgs particles pp. 575-579

L. Marek-Crnjac

Chaotic spread spectrum watermark of optimal space-filling curves pp. 580-587

Guo-rui Feng, Ling-ge Jiang, Chen He and Yi Xue

A Cantorian potential theory for describing dynamical systems on El Naschie’s space–time pp. 588-598

G. Iovane, G. Gargiulo and E. Zappale

Fuzzy minimal structure and fuzzy minimal vector spaces pp. 599-605

M. Alimohammady and M. Roohi

Wave propagation properties in oscillatory chains with cubic nonlinearities via nonlinear map approach pp. 606-617

Francesco Romeo and Giuseppe Rega

Cantorian space–time, Fantappie’s final group, accelerated universe and other consequences pp. 618-629

G. Iovane

Measuring transient chaos in nonlinear one- and two-dimensional maps pp. 630-646

Katarzyna Buszko and Krzysztof Stefański

On period doubling bifurcations of cycles and the harmonic balance method pp. 647-665

Griselda R. Itovich and Jorge L. Moiola

Dynamical multi-team Cournot game pp. 666-672

M.F. Elettreby and S.Z. Hassan

Synchronization of two low-dimensional Kerr chains pp. 673-684

P. Szlachetka, K. Grygiel and M. Misiak

A note on the fractional-order Chen system pp. 685-688

Jun Guo Lu and Guanrong Chen

The genesis of period-adding bursting without bursting-chaos in the Chay model pp. 689-697

Zhuoqin Yang, Qishao Lu and Li Li

A new type of bounded waves for Degasperis–Procesi equation pp. 698-704

Can Chen and Minying Tang

Inducing or suppressing chaos in a double-well Duffing oscillator by time delay feedback pp. 705-714

Zhongkui Sun, Wei Xu, Xiaoli Yang and Tong Fang

Observing nonlinear stochastic resonance with piecewise constant driving forces by the method of moments pp. 715-721

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

Complex dynamics in Duffing–Van der Pol equation pp. 722-747

Zhujun Jing, Zhiyan Yang and Tao Jiang

Transverse nonlinear dynamics of axially accelerating viscoelastic beams based on 4-term Galerkin truncation pp. 748-757

Li-Qun Chen and Xiao-Dong Yang

Singular limit cycle bifurcations to closed orbits and invariant tori pp. 758-767

Zhiyong Ye and Maoan Han

Dynamic complexities of a food chain model with impulsive perturbations and Beddington–DeAngelis functional response pp. 768-777

Shuwen Zhang, Dejun Tan and Lansun Chen

Effect of bounded noise on the chaotic motion of a Duffing Van der pol oscillator in a ϕ6 potential pp. 778-788

Xiaoli Yang, Wei Xu and Zhongkui Sun

Multiple stabilities analysis in a magnetic bearing system with time delays pp. 789-799

Hongbin Wang and Weihua Jiang

Guaranteed cost control for uncertain large-scale systems with time-delays via delayed feedback pp. 800-812

O.M. Kwon and Ju H. Park

Relation among nonlinear evolution equations and their reductions pp. 813-821

Jinbing Chen and Xianguo Geng

Adaptive control and synchronization of chaotic systems consisting of Van der Pol oscillators coupled to linear oscillators pp. 822-835

Hilaire Fotsin and Samuel Bowong

New exact solitary-wave special solutions for the nonlinear dispersive K(m,n) equations pp. 836-842

Yonggui Zhu and Zhuosheng Lü

2006, volume 27, articles 2

Glider-based computing in reaction-diffusion hexagonal cellular automata pp. 287-295

Andrew Adamatzky, Andrew Wuensche and Benjamin De Lacy Costello

Elementary number theory in superstrings, loop quantum mechanics, twistors and E-infinity high energy physics pp. 297-330

M.S. El Naschie

On the intuitionistic fuzzy topological spaces pp. 331-344

Reza Saadati and Jin Han Park

Optimal synchronization of Rössler system with complete uncertain parameters pp. 345-355

Awad El-Gohary

Chaos synchronization of nonlinear Bloch equations pp. 357-361

Ju H. Park

Chaos, solitons and fractals in hidden symmetry models pp. 363-376

Attilio Maccari

Multi-instability of gap solitons and dynamics of nonlinear excitations in the array of optical fibers pp. 377-385

Jean Roger Bogning and T.C. Kofane

Bäcklund transformations for discrete Painlevé equations: Discrete PII–PV pp. 387-394

A. Sakka and U. Muğan

Chaos in temporarily destabilized regular systems with the slow passage effect pp. 395-403

Matjaž Perc and Marko Marhl

Locally active Hindmarsh–Rose neurons pp. 405-412

Paolo Arena, Luigi Fortuna, Mattia Frasca and Manuela La Rosa

Bifurcations of travelling wave solutions in a new integrable equation with peakon and compactons pp. 413-425

Jianwei Shen, Wei Xu and Wei Li

Analysis of Hopf bifurcation caused by leakage conductance gl in the Hodgkin–Huxley model in muscles pp. 427-436

Jiang Wang, Hua Zhang and Yan-qiu Che

Existence and global exponential stability of periodic solution of a class of neural networks with impulses pp. 437-445

Yongkun Li, Wenya Xing and Linghong Lu

Bifurcation and complexity of Monod type predator–prey system in a pulsed chemostat pp. 447-458

Fengyan Wang, Shuwen Zhang, Lansun Chen and Lihua Sun

Stochastic chaos in a Duffing oscillator and its control pp. 459-469

Cunli Wu, Youming Lei and Tong Fang

Devaney’s chaotic on induced maps of hyperspace pp. 471-475

Gengrong Zhang, Fanping Zeng and Xinhe Liu

Exact solutions to the double Sine-Gordon equation pp. 477-486

Mingliang Wang and Xiangzheng Li

Exact special solitary solutions with compact support for the nonlinear dispersive K(m,n) equations pp. 487-493

Yonggui Zhu and Xiaoshan Gao

New exact soliton-like solutions and special soliton-like structures of the (2+1) dimensional Burgers equation pp. 495-500

Fanli Kong and Shoudong Chen

Robust control of chaos in Lorenz systems subject to mismatch uncertainties pp. 501-510

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

An alternative approach to characterize time series data: Case study on Malaysian rainfall data pp. 511-518

P. Radhakrishnan and S. Dinesh

Synchronization of a class of fractional-order chaotic systems via a scalar transmitted signal pp. 519-525

Jun Guo Lu

Reduction of some perturbed Keplerian problems pp. 527-536

Manuel Iñarrea, Victor Lanchares, Jesús F. Palacián, Ana I. Pascual, J. Pablo Salas and Patricia Yanguas

Chaos control of chaotic dynamical systems using backstepping design pp. 537-548

M.T. Yassen

Chaos synchronization between two different chaotic dynamical systems pp. 549-554

Ju H. Park

A (2+1)-dimensional integrable hierarchy and its extending integrable model pp. 555-559

Yufeng Zhang and Xiurong Guo

Propagating wave patterns and “peakons” of the Davey–Stewartson system pp. 561-567

K.W. Chow and S.Y. Lou

Time series analysis in chaotic diode resonator circuit pp. 569-573

M.P. Hanias, G. Giannaris, A. Spyridakis and A. Rigas

2006, volume 27, articles 1

Blood flow simulation through fractal models of circulatory system pp. 1-7

Elżbieta Gabryś, Marek Rybaczuk and Alicja Kędzia

Hilbert space, the number of Higgs particles and the quantum two-slit experiment pp. 9-13

M.S. El Naschie

Noncommutative topological dynamics pp. 15-23

C. Correia Ramos, Nuno Martins, Ricardo Severino and J. Sousa Ramos

A computer-assisted proof of chaos in Josephson junctions pp. 25-30

Xiao-Song Yang and Qingdu Li

Bifurcation analysis and linear control of the Newton–Leipnik system pp. 31-38

Xuedi Wang and Lixin Tian

Hilbert, Fock and Cantorian spaces in the quantum two-slit gedanken experiment pp. 39-42

M.S. El Naschie

Darboux transformation and soliton solutions for Boussinesq–Burgers equation pp. 43-49

Aihua Chen and Xuemei Li

Symmetry study of the coupled Burgers system pp. 51-55

Zeng-ju Lian and S.Y. Lou

A multifractal formalism in a probability space pp. 57-73

Yueling Li and Chaoshou Dai

Complex dynamics in Chen’s system pp. 75-86

Yu Chang and Guanrong Chen

The genesis of period-adding bursting without bursting-chaos in the Chay model pp. 87-95

Zhuoqin Yang, Qishao Lu and Li Li

Generalized synchronization of continuous chaotic system pp. 97-101

Yan-Wu Wang and Zhi-Hong Guan

Compression, splitting and switching of bright and dark solitons in nonlinear directional coupler pp. 103-113

Basanti Mandal and A. Roy Chowdhury

Two novel synchronization criterions for a unified chaotic system pp. 115-120

Chaohai Tao, Hongxia Xiong and Feng Hu

Maximal operators and Fourier transforms of self-similar measures pp. 121-126

Yong Lin and Huo-Jun Ruan

Effect of random noise on chaotic motion of a particle in a ϕ6 potential pp. 127-138

Zhongkui Sun, Wei Xu and Xiaoli Yang

Painlevé analysis of nonlinear evolution equations—an algorithmic method pp. 139-152

S. Roy Choudhury

A generalized cubic Volterra lattice hierarchy and its integrable couplings system pp. 153-158

Tiecheng Xia, Fucai You and Dengyuan Chen

On chaotic graphs and applications in physics and biology pp. 159-173

M. El-Ghoul, A.E. El-Ahmady and T. Homoda

Multi-pulse chaotic motions of a rotor-active magnetic bearing system with time-varying stiffness pp. 175-186

W. Zhang, M.H. Yao and X.P. Zhan

The modified extended Fan sub-equation method and its application to the (2+1)-dimensional Broer–Kaup–Kupershmidt equation pp. 187-196

Emmanuel Yomba

Bifurcation and chaos in neural excitable system pp. 197-215

Zhujun Jing, Jianping Yang and Wei Feng

The solutions of Toda lattice and Volterra lattice pp. 217-222

Fuding Xie, Zhuosheng Lü and Dingkang Wang

Periodic oscillatory solution in delayed competitive–cooperative neural networks: A decomposition approach pp. 223-231

Kun Yuan and Jinde Cao

On stick number of knots and links pp. 233-236

E.A. Elrifai

A study of predator–prey models with the Beddington–DeAnglis functional response and impulsive effect pp. 237-248

Shuwen Zhang and Lansun Chen

Chaos control in duffing system pp. 249-257

Ruiqi Wang, Jin Deng and Zhujun Jing

Bifurcation and chaos in discrete-time predator–prey system pp. 259-277

Zhujun Jing and Jianping Yang

Characteristic time series and operation region of the system of two tank reactors (CSTR) with variable division of recirculation stream pp. 279-285

Henryk Merta