Chaos, Solitons & Fractals

2002 - 2025

Current editor(s): Stefano Boccaletti and Stelios Bekiros

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2005, volume 26, articles 5

On the classical descriptions of the quantum phenomena in the harmonic oscillator and in a charged particle under the coulomb force pp. 1259-1266

Jaume Giné

Viewing sets of mutually unbiased bases as arcs in finite projective planes pp. 1267-1270

Metod Saniga and Michel Planat

On the generalized Lorenz canonical form pp. 1271-1276

Sergej Čelikovský and Guanrong Chen

The construction of the energy space pp. 1277-1292

Artur Dabrovski

Entropy squeezing of a driven two-level atom in a cavity with injected squeezed vacuum pp. 1293-1307

T.M. El-Shahat, S. Abdel-Khalek and A.-S.F. Obada

Explicit solutions of the Camassa–Holm equation pp. 1309-1316

E.J. Parkes and V.O. Vakhnenko

Bifurcation of limit cycles in a quintic Hamiltonian system under a sixth-order perturbation pp. 1317-1335

S. Wang and P. Yu

Tuning of reachable set in one dimensional fuzzy differential inclusions pp. 1337-1341

S. Abbasbandy, Juan J. Nieto and M. Alavi

New stability criterion of uncertain systems with time-varying delay pp. 1343-1348

Xingwen Liu and Hongbin Zhang

Global robust stability for delayed neural networks with polytopic type uncertainties pp. 1349-1354

Yong He, Qing-Guo Wang and Wei-Xing Zheng

Continuous iterations of dynamical maps: An axiomatic approach pp. 1355-1361

Gaetano Barbaro

On the Painlevé integrability, periodic wave solutions and soliton solutions of generalized coupled higher-order nonlinear Schrödinger equations pp. 1363-1375

Gui-qiong Xu and Zhi-bin Li

Manipulating objects by discrete excitable media coupled with contact-less actuator array: Open-loop case pp. 1377-1389

Sergey Skachek, Andrew Adamatzky and Chris Melhuish

New stability conditions for neural networks with constant and variable delays pp. 1391-1398

Qiang Zhang, Xiaopeng Wei and Jin Xu

Application of extended Prelle–Singer procedure to the generalized modified Emden type equation pp. 1399-1406

V.K. Chandrasekar, S.N. Pandey, M. Senthilvelan and M. Lakshmanan

Global robust stability analysis of neural networks with discrete time delays pp. 1407-1414

Sabri Arik

The extended Jacobi elliptic function method to solve a generalized Hirota–Satsuma coupled KdV equations pp. 1415-1421

Yaxuan Yu, Qi Wang and Hongqing Zhang

Testing for long range dependence in banking equity indices pp. 1423-1428

Daniel Cajueiro and Benjamin Tabak

GCS of a class of chaotic dynamic systems pp. 1429-1435

Ju H. Park

Sensitivity and chaos control for the forced nonlinear oscillations pp. 1437-1451

Irina Bashkirtseva and Lev Ryashko

Complexiton solutions of the Korteweg–de Vries equation with self-consistent sources pp. 1453-1458

Wen-Xiu Ma

Hyperchaos in fractional order nonlinear systems pp. 1459-1465

Wajdi M. Ahmad

Periodic structures of oceanic Rossby wave under the influence of wind stress pp. 1467-1473

Zhe Chen, Zuntao Fu and Shikuo Liu

Stochastic exact solutions to (2+1)-dimensional stochastic Borer–Kaup equation pp. 1475-1483

Cai-Min Wei, Zun-Quan Xia and Le-Yuan Yu

Synchronization of chaotic systems with parameter driven by a chaotic signal pp. 1485-1489

Guo-Hui Li

Robust stochastic stability and H∞ performance for a class of uncertain impulsive stochastic systems pp. 1491-1498

Yuewu Dong and Jitao Sun

Estimation of exponential convergence rate and exponential stability for neural networks with time-varying delay pp. 1499-1505

Fenghua Tu and Xiaofeng Liao

Symmetry reductions and soliton-like solutions for stochastic MKdV equation pp. 1507-1513

Cai-Min Wei, Yong-Hong Ren and Zun-Quan Xia

Stochastic stabilization of first-passage failure of Rayleigh oscillator under Gaussian White-Noise parametric excitations pp. 1515-1521

Jiaorui Li and Wei Xu

Noise-induced basin hopping in a gearbox model pp. 1523-1531

Sílvio L.T. de Souza, Iberê L. Caldas, Ricardo L. Viana, Antônio M. Batista and Tomasz Kapitaniak

Global invariant manifolds pp. 1533-1540

Mitja Lakner and Marjeta Škapin-Rugelj

2005, volume 26, articles 4

From reversible thermodynamics to life pp. 1019-1033

Michail Zak

A simple spatiotemporal chaotic Lotka–Volterra model pp. 1035-1043

J.C. Sprott, J.C. Wildenberg and Yousef Azizi

Non-quantum uncertainty relations of stochastic dynamics pp. 1045-1052

Qiuping A. Wang

Optimal control of a programmed motion of a rigid spacecraft using redundant kinematics parameterizations pp. 1053-1063

Awad El-Gohary

The fractality of lung sounds: A comparison of three waveform fractal dimension algorithms pp. 1065-1072

January Gnitecki and Zahra Moussavi

Effect of higher-order nonlinearity to nonlinear electron-acoustic solitary waves in an unmagnetized collisionless plasma pp. 1073-1079

E.K. El-Shewy

New type of exact solutions of nonlinear evolution equations via the new Sine–Poisson equation expansion method pp. 1081-1086

Yuqin Yao

The multi-component WKI hierarchy pp. 1087-1089

Yuqin Yao and Yufeng Zhang

New hierarchies of integrable positive and negative lattice models and Darboux transformation pp. 1091-1103

Hongxiang Yang, Xixiang Xu and Haiyong Ding

New exact solutions to the generalized coupled Hirota–Satsuma Kdv system pp. 1105-1110

Xue-lin Yong and Hong-Qing Zhang

The existence of solitary waves of singularly perturbed mKdV–KS equation pp. 1111-1118

Xinghua Fan and Lixin Tian

Generalized projective synchronization of a unified chaotic system pp. 1119-1124

Jianping Yan and Changpin Li

Chaotic dynamics and synchronization of fractional-order Arneodo’s systems pp. 1125-1133

Jun Guo Lu

Control of Julia sets pp. 1135-1147

Shou Gang Sui and Shu Tang Liu

Bifurcations of smooth and non-smooth travelling wave solutions in the generalized Camassa–Holm equation pp. 1149-1162

Jianwei Shen and Wei Xu

Adaptive synchronization of uncertain hyperchaotic systems based on parameter identification pp. 1163-1169

Jianwen Feng, Shihua Chen and Changping Wang

Dynamic complexities in a seasonal prevention epidemic model with birth pulses pp. 1171-1181

Shujing Gao, Lansun Chen and Lihua Sun

Stochastic resonance in an asymmetric bistable system driven by correlated multiplicative and additive noise pp. 1183-1187

Yanfei Jin, Wei Xu and Meng Xu

Homoclinic orbits and periodic solitons for Boussinesq equation with even constraint pp. 1189-1194

Zhengde Dai, Jian Huang, Murong Jiang and Shenghua Wang

Transition to chaos in a fluid motion system pp. 1195-1202

Zhi-Min Chen and W.G. Price

Painlevé test for the certain (2+1)-dimensional nonlinear evolution equations pp. 1203-1209

T. Alagesan, Y. Chung and K. Nakkeeran

Basins of attraction changes by amplitude constraining of oscillators with limited power supply pp. 1211-1220

S.L.T. de Souza, I.L. Caldas, R.L. Viana, J.M. Balthazar and R.M.L.R.F. Brasil

Multi-parameter Hopf-bifurcation in Hodgkin–Huxley model exposed to ELF external electric field pp. 1221-1229

Wang Jiang, Che Yanqiu, Fei Xiangyang and Li Li

Controlling and anti-controlling Hopf bifurcations in discrete maps using polynomial functions pp. 1231-1248

Z. Chen and P. Yu

A numerical solution of the Burgers’ equation using septic B-splines pp. 1249-1258

Mohamed A. Ramadan, Talaat S. El-Danaf and Faisal E.I. Abd Alaal

2005, volume 26, articles 3

Dead or alive: Desperately seeking Schrödinger’s cat pp. 673-676

M.S. El Naschie

The Golden Shofar pp. 677-684

Alexey Stakhov and Boris Rozin

Study on the affective property of music pp. 685-694

Xia Mao, Na Zhang, Yun Sun and Lee-Lung Cheng

Application of homotopy perturbation method to nonlinear wave equations pp. 695-700

Ji-Huan He

An elementary model based method for determining the number of possible Higg bosons in the standard model pp. 701-706

M.S. El Naschie

The influence of noise on the generalized dimensions pp. 707-717

H. Ahammer and T.T.J. DeVaney

Population models with time dependent parameters pp. 719-721

B.S. Lakshmi

Noise-stabilised chaotic substructure on the I–V staircase curve of a rocked superconducting Josephson junction pp. 723-729

S. Al-Khawaja and M.B. Alsous

Chaotic motion and its control for nonlinear nonplanar oscillations of a parametrically excited cantilever beam pp. 731-745

Wei Zhang

The use of adomian decomposition method for solving the regularized long-wave equation pp. 747-757

Talaat S. El-Danaf, Mohamed A. Ramadan and Faysal E.I. Abd Alaal

Application of the Lyapunov exponent to detect noise-induced chaos in oscillating microbial cultures pp. 759-765

P.R. Patnaik

Nonlinear variants of the BBM equation with compact and noncompact physical structures pp. 767-776

Abdul-Majid Wazwaz and M.A. Helal

Minimizing the effect of periodic and quasi-periodic trends in detrended fluctuation analysis pp. 777-784

Radhakrishnan Nagarajan and Rajesh G. Kavasseri

The modified extended Fan’s sub-equation method and its application to (2+1)-dimensional dispersive long wave equation pp. 785-794

Emmanuel Yomba

A numerical solution of the Burgers’ equation using septic B-splines pp. 795-804

Mohamed A. Ramadan, Talaat S. El-Danaf and Faisal E.I. Abd Alaal

Controlling uncertain neutral dynamic systems with delay in control input pp. 805-812

Ju H. Park and O. Kwon

Stability and bifurcation analysis in a magnetic bearing system with time delays pp. 813-825

Hongbin Wang and Jiaqi Liu

Limit cycle and bifurcation of nonlinear problems pp. 827-833

Ji-Huan He

Fuzzy modeling and synchronization of hyperchaotic systems pp. 835-843

Hongbin Zhang, Xiaofeng Liao and Juebang Yu

Impulsive control, complete and lag synchronization of unified chaotic system with continuous periodic switch pp. 845-854

Xiaohong Zhang, Xiaofeng Liao and Chuandong Li

A food chain model with impulsive perturbations and Holling IV functional response pp. 855-866

Shuwen Zhang, Fengyan Wang and Lansun Chen

What is the exact condition for fractional integrals and derivatives of Besicovitch functions to have exact box dimension? pp. 867-879

G.L. He and S.P. Zhou

Adaptive synchronization of unidirectional and mutual coupled chaotic systems pp. 881-888

Zheng-Ming Ge and Yen-Sheng Chen

Darboux transformation and soliton-like solutions of nonlinear Schrödinger equations pp. 889-896

Tiecheng Xia, Xiaohong Chen and Dengyuan Chen

Construction of exact solitary solutions for Boussinesq-like B(m,n) equations with fully nonlinear dispersion by the decomposition method pp. 897-903

Yonggui Zhu, Qianshun Chang and Shengchang Wu

N-soliton solutions and double Wronskian solution of the non-isospectral AKNS equation pp. 905-912

Ye-peng Sun, Jin-bo Bi and Deng-yuan Chen

Controlling chaos and synchronization for new chaotic system using linear feedback control pp. 913-920

M.T. Yassen

New exact travelling wave solutions for some nonlinear evolution equations pp. 921-925

Huiqun Zhang

Harmless delays for global asymptotic stability of Cohen–Grossberg neural networks pp. 927-933

Fenghua Tu and Xiaofeng Liao

Global exponential stability of Cohen–Grossberg neural networks with time-varying delays pp. 935-945

Jiang Liu

A discrete epidemic model with stage structure pp. 947-958

Xiuying Li and Wendi Wang

Adaptive synchronization of hyperchaotic Chen system with uncertain parameters pp. 959-964

Ju H. Park

On global exponential stability of nonautonomous delayed neural networks pp. 965-970

Qiang Zhang, Xiaopeng Wei and Jin Xu

Synchronization of unidirectional coupled chaotic systems with unknown channel time-delay: Adaptive robust observer-based approach pp. 971-978

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

Two (2+1)-dimensional soliton equations and their quasi-periodic solutions pp. 979-996

Yanhong Hao and Dianlou Du

Fractal nature of time series in the sediment transport phenomenon pp. 997-1007

Pengjian Shang and Santi Kamae

Multiobjective Bak–Sneppen model on a small-world network pp. 1009-1017

M.F. Elettreby

2005, volume 26, articles 2

On a class of fuzzy Kähler-like manifolds pp. 257-261

M.S. El Naschie

The Generalized Principle of the Golden Section and its applications in mathematics, science, and engineering pp. 263-289

A.P. Stakhov

Stability Analysis of the two-slit experiment with quantum particles pp. 291-294

M.S. El Naschie

The structure of a Cantor-like set with overlap pp. 295-301

Meifeng Dai and Lixin Tian

Spinorial content of the standard model, a different look at super-symmetry and fuzzy E-infinity hyper Kähler pp. 303-311

M.S. El Naschie

Exact Hausdorff centered measure of symmetry Cantor sets pp. 313-323

Meifeng Dai and Lixin Tian

Cylindrical higher order disturbances to planar solitary waves pp. 325-328

Wen-shan Duan, Lei Zhang, Mai-mai Lin, Xue-ren Hong and Ke-pu Lv

Exact soliton-like solutions for stochastic combined Burgers–KdV equation pp. 329-336

Cai-Min Wei and Zun-Quan Xia

Bifurcation and stability of forced convection in tightly coiled ducts: multiplicity pp. 337-352

Liqiu Wang, Ophelia Pang and Lin Cheng

Controlling and tracking hyperchaotic Rössler system via active backstepping design pp. 353-361

Hao Zhang, Xi-kui Ma, Ming Li and Jian-long Zou

A chaotic modulation scheme based on algebraic observability and sliding mode differentiators pp. 363-377

Barbara Cannas, Silvano Cincotti and Elio Usai

Controlling the chaos using fuzzy estimation of OGY and Pyragas controllers pp. 379-392

Aria Alasty and Hassan Salarieh

New Weierstrass elliptic function solutions of the N-coupled nonlinear Klein–Gordon equations pp. 393-398

Yong Chen and Zhenya Yan

New exact solutions of (2+1)-dimensional Gardner equation via the new sine-Gordon equation expansion method pp. 399-406

Yong Chen and Zhenya Yan

Exact solitary solutions with compact support for the nonlinear dispersive Boussinesq-like B(m,n) equations pp. 407-413

Yonggui Zhu, Qianshun Chang and Shengchang Wu

Coarse-graining effects on time-dependent information on invariant sets pp. 415-425

Hideshi Ishida and Hideo Kimoto

A mathematical model of the hypothalamo-pituitary-adrenocortical system and its stability analysis pp. 427-436

Danka Savić and Smiljana Jelić

An LMI criterion for linear-state-feedback based chaos synchronization of a class of chaotic systems pp. 437-443

Guo-Ping Jiang and Wei Xing Zheng

Robust exponential stability and domains of attraction in a class of interval neural networks pp. 445-451

Xiaofan Yang, Xiaofeng Liao, Sen Bai and David J Evans

Propagation of sech2-type solitary waves in higher-order KdV-type systems pp. 453-465

O. Ilison and A. Salupere

Two-level atom in a squeezed vacuum with the two photon process via ac-Stark effect pp. 467-479

T.M. El-Shahat, A.A. Eied and A.-S.F. Obada

Characterization of failure mechanism in composite materials through fractal analysis of acoustic emission signals pp. 481-494

F.E. Silva, L.L. Gonçalves, D.B.B. Fereira and J.M.A. Rebello

Complexity of an SIR epidemic dynamics model with impulsive vaccination control pp. 495-505

Guang Zhao Zeng, Lan Sun Chen and Li Hua Sun

The periodic n-species Gilpin–Ayala competition system with impulsive effect pp. 507-517

Shuwen Zhang, Dejun Tan and Lansun Chen

On the zeros of a fourth degree exponential polynomial with applications to a neural network model with delays pp. 519-526

Xiuling Li and Junjie Wei

Explicit and exact solutions for a generalized long–short wave resonance equations with strong nonlinear term pp. 527-539

Yadong Shang

Generating independent chaotic attractors by chaos anticontrol in nonlinear circuits pp. 541-549

Cristina Morel, Marc Bourcerie and François Chapeau-Blondeau

Jacobian elliptic function expansion solutions of nonlinear stochastic equations pp. 551-558

Cai-Min Wei, Zun-Quan Xia and Nai-Shuo Tian

Prediction of SARS epidemic by BP neural networks with online prediction strategy pp. 559-569

Yanping Bai and Zhen Jin

Set stabilization of Chua’s circuit via piece-wise linear feedbacks pp. 571-579

Shihua Li, Xiangze Lin and Yu-Ping Tian

Strange distributionally chaotic triangular maps pp. 581-589

L. Paganoni and J. Smítal

Fuchs indices and the first integrals of nonlinear differential equations pp. 591-603

Nikolai A. Kudryashov

The multi-component TA hierarchy and its multi-component integrable couplings system with six arbitrary functions pp. 605-613

Tiecheng Xia and Fucai You

Impulsive control and synchronization of spatiotemporal chaos pp. 615-636

Anmar Khadra, Xinzhi Liu and Xuemin Shen

H∞ analysis of nonlinear stochastic time-delay systems pp. 637-647

Huisheng Shu and Guoliang Wei

A novel analytic technique for the disintegration of coherent structure solutions of non-integrable and integrable nonlinear PDEs under forcing pp. 649-664

S. Roy Choudhury

Kähler-like manifolds, Weyl spinor particles and E-infinity high energy physics pp. 665-670

M.S. El Naschie

2005, volume 26, articles 1

Non-Euclidean spacetime structure and the two-slit experiment pp. 1-6

M.S. El Naschie

Security problems with a chaos-based deniable authentication scheme pp. 7-11

Gonzalo Alvarez

On the cohomology and instantons number in E-infinity Cantorian spacetime pp. 13-17

M.S. El Naschie

Set-valued discrete chaos pp. 19-23

Alfredo Peris

Soliton and periodic solutions for higher order wave equations of KdV type (I) pp. 25-32

S.A. Khuri

Unstable periodic orbits and chaotic economic growth pp. 33-42

K. Ishiyama and Y. Saiki

Proving superstring theory using loop quantum mechanics pp. 43-45

M.S. El Naschie

Nonlinear dynamic analysis of an unbalanced rotor supported by roller bearing pp. 47-66

S.P. Harsha

From the two-slit experiments to the expected number of Higgs particles in the standard model pp. 67-70

M.S. El Naschie

Nonlinear observer control for full-state projective synchronization in chaotic continuous-time systems pp. 71-77

Guilin Wen and Daolin Xu

Horseshoes in modified Chen’s attractors pp. 79-85

Yan Huang and Xiao-Song Yang

Synchronization and anti-synchronization of Colpitts oscillators using active control pp. 87-93

Li Guo-Hui

Vector shock soliton and the Hirota bilinear method pp. 95-105

Oktay Pashaev and Gamze Tanoğlu

Short wavelength dynamics of the system of nonlinear oscillators coupled by stretched weightless beam pp. 107-116

Leonid I. Manevitch and Andrey I. Musienko

A block cipher based on a suitable use of the chaotic standard map pp. 117-129

Shiguo Lian, Jinsheng Sun and Zhiquan Wang

Dynamic complexity of a two-prey one-predator system with impulsive effect pp. 131-139

Yujuan Zhang, Zhilong Xiu and Lansun Chen

Synchronization of two coupled fractional-order chaotic oscillators pp. 141-145

Xin Gao and Juebang Yu

Delay-dependent stability of uncertain fuzzy large-scale systems with time delays pp. 147-158

Xingwen Liu, Hongbin Zhang and Fengli Zhang

Chaos in a food chain chemostat with pulsed input and washout pp. 159-166

Yujuan Zhang, Zhilong Xiu and Lansun Chen

Adaptive robust PID controller design based on a sliding mode for uncertain chaotic systems pp. 167-175

Wei-Der Chang and Jun-Juh Yan

Solving solitary waves with discontinuity by means of the homotopy analysis method pp. 177-185

Wan Wu and Shi-Jun Liao

Exact solution and semifolded structures of generalized Broer–Kaup system in (2+1)-dimensions pp. 187-194

Chun-Long Zheng, Hai-Ping Zhu and Li-Qun Chen

Local and global nonlinear dynamics of a parametrically excited rectangular symmetric cross-ply laminated composite plate pp. 195-213

Min Ye, Jing Lu, Wei Zhang and Qian Ding

Adaptive synchronization of two chaotic systems consisting of modified Van der Pol–Duffing and Chua oscillators pp. 215-229

Hilaire Fotsin, Samuel Bowong and Jamal Daafouz

Elliptic equation rational expansion method and new exact travelling solutions for Whitham–Broer–Kaup equations pp. 231-246

Yong Chen, Qi Wang and Biao Li

A tale of two Kleins unified in strings and E-infinity theory pp. 247-254

M.S. El Naschie