Chaos, Solitons & Fractals

2002 - 2025

Current editor(s): Stefano Boccaletti and Stelios Bekiros

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2005, volume 23, articles 5

El Naschie’s coherence on the subquantum medium pp. 1497-1509

M. Agop, P.D. Ioannou, P. Nica, G. Găluşcă and M. Ştefan

A P-Brane vindication of the two Higgs-doublet minimally super-symmetric standard model and related issues pp. 1511-1514

M.S. El Naschie

Structurally stable but chaotic limit set of E-infinity Cantorian space–time pp. 1515-1520

L. Marek-Crnjac

On Einstein’s super symmetric tensor and the number of elementary particles of the standard model pp. 1521-1525

M.S. El Naschie

Adaptive synchronization of Rossler and Lü systems with fully uncertain parameters pp. 1527-1536

M.T. Yassen

Rotating orbits of a parametrically-excited pendulum pp. 1537-1548

Xu Xu, M. Wiercigroch and M.P. Cartmell

Motion of curves and solutions of two multi-component mKdV equations pp. 1567-1580

Yao Ruoxia, Qu Changzheng and Li Zhibin

The three versions of distributional chaos pp. 1581-1583

F. Balibrea, J. Smı́tal and M. Štefánková

Optimal stabilization of an equilibrium position of a rigid body using rotors system with friction forces pp. 1585-1597

Awad El-Gohary

Coexisting chaotic attractors in a single neuron model with adapting feedback synapse pp. 1599-1604

Chunguang Li and Guanrong Chen

Generalized synchronization induced by noise and parameter mismatching in Hindmarsh–Rose neurons pp. 1605-1611

Ying Wu, Jianxue Xu, Daihai He and David J.D. Earn

The global domain of attraction and the initial value problems of a kind of GKdV equations pp. 1613-1628

X. Lai, Q. Cao and E.H. Twizell

Robust global exponential synchronization of general Lur’e chaotic systems subject to impulsive disturbances and time delays pp. 1629-1641

Bin Liu, Guanrong Chen, Kok Lay Teo and Xinzhi Liu

An alternative bifurcation analysis of the Rose–Hindmarsh model pp. 1643-1649

Svetoslav Nikolov

Evaluation of the largest Lyapunov exponent in dynamical systems with time delay pp. 1651-1659

Andrzej Stefanski, Artur Dabrowski and Tomasz Kapitaniak

Cumulative effect of structural nonlinearities: chaotic dynamics of cantilever beam system with impacts pp. 1661-1670

Joseph Emans, Marian Wiercigroch and Anton M. Krivtsov

On a four-dimensional chaotic system pp. 1671-1682

Guoyuan Qi, Shengzhi Du, Guanrong Chen, Zengqiang Chen and Zhuzhi Yuan

On synchronization of three chaotic systems pp. 1683-1688

Jianping Yan and Changpin Li

Short-term memories with a stochastic perturbation pp. 1689-1694

José C.A. de Pontes, Antonio M. Batista, Ricardo L. Viana and Sergio R. Lopes

Estimation of a noise level using coarse-grained entropy of experimental time series of internal pressure in a combustion engine pp. 1695-1701

Grzegorz Litak, Rodolfo Taccani, Robert Radu, Krzysztof Urbanowicz, Janusz A. Hołyst, Mirosław Wendeker and Alessandro Giadrossi

Percolation models of turbulent transport and scaling estimates pp. 1703-1731

O.G. Bakunin

Solving the one-loop soliton solution of the Vakhnenko equation by means of the Homotopy analysis method pp. 1733-1740

Yongyan Wu, Chun Wang and Shi-Jun Liao

New variable separation excitations of (2+1)-dimensional dispersive long-water wave system obtained by an extended mapping approach pp. 1741-1748

Chun-Long Zheng, Jian-Ping Fang and Li-Qun Chen

Cryptanalyzing an improved security modulated chaotic encryption scheme using ciphertext absolute value pp. 1749-1756

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

Order isomorphism under higher power shift and generic form of renormalization group equations in multimodal maps pp. 1757-1775

Shou-Li Peng

Nonlinear behavior for nanoscale electrostatic actuators with Casimir force pp. 1777-1785

Wen-Hui Lin and Ya-Pu Zhao

On the cyclicity of a 2-polycycle for quadratic systems pp. 1787-1794

Maoan Han and Cheng Yang

Codon and amino-acid distribution in DNA pp. 1795-1807

J.K. Kim, S.I. Yang, Y.H. Kwon and E.I. Lee

Local Lyapunov exponents for dissipative continuous systems pp. 1809-1817

Florian Grond and Hans H. Diebner

Dynamic output guaranteed cost controller for neutral systems with input delay pp. 1819-1828

Ju H. Park

Statistics of Poincaré recurrences for a class of smooth circle maps pp. 1829-1840

Nikola Buric, Aldo Rampioni and Giorgio Turchetti

Evolution of near-soliton initial conditions in non-linear wave equations through their Bäcklund transforms pp. 1841-1854

G. Tsigaridas, A. Fragos, I. Polyzos, M. Fakis, A. Ioannou, V. Giannetas and P. Persephonis

Control, anticontrol and synchronization of chaos for an autonomous rotational machine system with time-delay pp. 1855-1864

Zheng-Ming Ge and Ching-I Lee

Controlling Hopf bifurcations of discrete-time systems in resonance pp. 1865-1877

Guilin Wen, Daolin Xu and Jianhua Xie

Computing Lyapunov exponents of continuous dynamical systems: method of Lyapunov vectors pp. 1879-1892

Jia Lu, Guolai Yang, Hyounkyun Oh and Albert C.J. Luo

A modified method of a class of recently presented cryptosystems pp. 1893-1899

Fangjun Huang and Zhi-Hong Guan

A method for designing dynamical S-boxes based on discretized chaotic map pp. 1901-1909

Guoping Tang and Xiaofeng Liao

A generalized AKNS hierarchy and its bi-Hamiltonian structures pp. 1911-1919

Tiecheng Xia, Fucai You and Dengyuan Chen

Fluctuation analysis of the hourly time variability of volcano-magnetic signals recorded at Mt. Etna Volcano, Sicily (Italy) pp. 1921-1929

Gilda Currenti, Ciro Del Negro, Vincenzo Lapenna and Luciano Telesca

Light cone quantization, Heterotic strings and E–infinity derivation of the number of Higgs bosons pp. 1931-1933

M.S. El Naschie

On an observer-related unequivalence between spatial dimensions of a generic Cremonian universe pp. 1935-1939

Metod Saniga

Supergravity and the number of fundamental particles in the standard model pp. 1941-1943

M.S. El Naschie

2005, volume 23, articles 4

Experimental and theoretical arguments for the number and the mass of the Higgs particles pp. 1091-1098

M.S. El Naschie

Relativistic solitons and superluminal signals pp. 1099-1103

Attilio Maccari

A random multifractal tilling pp. 1105-1110

M.G. Pereira, G. Corso, L.S. Lucena and J.E. Freitas

A local cellular model for snow crystal growth pp. 1111-1119

Clifford A. Reiter

Class of exact three dimensional solutions of Landau–Lifshitz equations in simply connected specimens of ferromagnets and antiferromagnets of arbitrary shape with uniaxial magnetic anisotropy pp. 1121-1124

O.Yu. Gorobets and V.Yu. Gorobets

Return anomalies on the Nikkei: Are they statistical illusions? pp. 1125-1136

Jonathan Batten, Craig Ellis and Thomas A. Fetherston

The multi-component classical-Boussinesq hierarchy of soliton equations and its multi-component integrable coupling system pp. 1163-1167

Tiecheng Xia, Fa-Jun Yu and Dengyuan Chen

The Bäcklund transformation and novel solutions for the Toda lattice pp. 1169-1175

Mei-na Sun, Shu-fang Deng and Deng-yuan Chen

A unified approach for impulsive lag synchronization of chaotic systems with time delay pp. 1177-1184

Chuandong Li, Xiaofeng Liao and Rong Zhang

Bifurcations of traveling wave solutions in a compound KdV-type equation pp. 1185-1194

Zhengdi Zhang and Qinsheng Bi

Stochastic properties in Devaney’s chaos pp. 1195-1199

Chen Wu, Zhengjie Xu, Wei Lin and Jiong Ruan

The Laplacian on the level 3 Sierpinski gasket via the method of averages pp. 1201-1209

Tang Donglei and Su Weiyi

Chaotic dynamics of a cascade of plug flow tubular reactors (PFTRs) with division of recirculating stream pp. 1211-1219

Henryk Merta and Rafał Pelka

Type I vs. type II excitable systems with delayed coupling pp. 1221-1233

Nikola Burić, Ines Grozdanović and Nebojša Vasović

The chaotic linear map in the function space defined on a planar lattices pp. 1235-1244

Jiayin Du and Deming Zhu

Global chaos synchronization of new chaotic systems via nonlinear control pp. 1245-1251

Hsien-Keng Chen

Maximum path information and the principle of least action for chaotic system pp. 1253-1258

Q.A. Wang

Identifying timescales and possible precursors of the awake to asleep transition in EOG time series pp. 1259-1266

Roberto Carniel, Enrico Del Pin, Riccardo Budai and Paolo Pascolo

“Chaos” in superregenerative receivers pp. 1267-1274

Jean-Claude Commerçon and Robert Badard

Recurrence near given sets and the complexity of the Casati–Prosen map pp. 1275-1284

Mirko Degli Esposti and Stefano Galatolo

Synchronization criteria of Lur’e systems with time-delay feedback control pp. 1285-1298

Jinde Cao, H.X. Li and Daniel W.C. Ho

Global synchronization criterion and adaptive synchronization for new chaotic system pp. 1299-1309

E.M. Elabbasy, H.N. Agiza and M.M. El-Dessoky

A differential-difference Kadomtsev–Petviashvili family possesses a common Kac–Moody–Virasoro symmetry algebra pp. 1311-1317

Xiao-yan Tang, Xian-min Qian and Wei Ding

Stability criterion for synchronization of linearly coupled unified chaotic systems pp. 1319-1325

Ju H. Park

An efficient entire chaos-based scheme for deniable authentication pp. 1327-1331

Di Xiao, Xiaofeng Liao and K.W. Wong

Singular solutions in Casoratian form for two differential-difference equations pp. 1333-1350

Da-jun Zhang

Two interacting hard disks within a circular cavity: towards a quasi-equilibrium quantal equation of states pp. 1351-1362

Naofumi Nakazono, Takeo Kato and Katsuhiro Nakamura

Delay-dependent exponential stability of cellular neural networks with time-varying delays pp. 1363-1369

Qiang Zhang, Xiaopeng Wei and Jin Xu

Fractal properties of refined box dimension on functional graph pp. 1371-1379

Meifeng Dai and Lixin Tian

On chaotic set-valued discrete dynamical systems pp. 1381-1384

Alessandro Fedeli

Poincaré bifurcation of a three-dimensional system pp. 1385-1398

Xuanliang Liu and Maoan Han

On shifted periodic solutions of two nonlinear equations pp. 1399-1404

Xian-jing Lai and Jie-fang Zhang

New families of exact soliton-like solutions and dromion solutions to the (2+1)-dimensional higher-order Broer–Kaup equations pp. 1405-1411

Tiecheng Xia and Dengyuan Chen

Chaos in a four-dimensional system consisting of fundamental lag elements and the relation to the system eigenvalues pp. 1413-1428

Toshihiro Kita

Deriving main rhythms of the human cardiovascular system from the heartbeat time series and detecting their synchronization pp. 1429-1438

V.I. Ponomarenko, M.D. Prokhorov, A.B. Bespyatov, M.B. Bodrov and V.I. Gridnev

Stochastic resonance induced by novel random transitions of motion of FitzHugh–Nagumo neuron model pp. 1439-1449

Guang-Jun Zhang and Jian-Xue Xu

Periodic cusp wave solutions and single-solitons for the b-equation pp. 1451-1463

Boling Guo and Zhengrong Liu

The stochastic soliton-like solutions of stochastic KdV equations pp. 1465-1473

Yong Chen, Qi Wang and Biao Li

Stability and bifurcation of a simple food chain in a chemostat with removal rates pp. 1475-1489

M.M.A. El-Sheikh and S.A.A. Mahrouf

On the possibility of six gravity related particles in the standard model of high energy physics pp. 1491-1496

M.S. El Naschie

2005, volume 23, articles 3

Determining the number of Higgs particles starting from general relativity and various other field theories pp. 711-726

M.S. El Naschie

Fractal cosmogony: similarity of the early universe to microscopic fractal aggregates pp. 727-729

R.J. Slobodrian

Asymptotic fractals pp. 731-737

Andrzej Okniński

On Pauli’s principles of “Zweiteilung und symmetrie verminderung” in Higgs physics and non-linear dynamics pp. 739-745

M.S. El Naschie

Canard solutions of two-dimensional singularly perturbed systems pp. 915-927

Xianfeng Chen, Pei Yu, Maoan Han and Weijiang Zhang

The Kadomtsev–Petviashvili (KP), MKP, and coupled KP equations for two-ion-temperature dusty plasmas pp. 929-937

Mai-mai Lin and Wen-shan Duan

Obliquely propagating dust-acoustic solitary waves in cosmic dust-laden plasmas pp. 939-947

Waleed M. Moslem

Exact solutions for the higher-order nonlinear Schördinger equation in nonlinear optical fibres pp. 949-955

Chunping Liu

Coupled nonlinear waves in two-dimensional lattice pp. 957-962

Wen-shan Duan, Yu-ren Shi, Lei Zhang, Mai-Mai Lin and Ke-pu Lv

A general method for generating multicomponent integrable hierarchies pp. 963-971

Hon-Wah Tam and Yu-Feng Zhang

Two-parameters Hopf bifurcation in the Hodgkin–Huxley model pp. 973-980

Jiang Wang, Jianming Geng and Xiangyang Fei

Localization of periodic orbits of polynomial systems by ellipsoidal estimates pp. 981-988

Konstantin E. Starkov and Alexander P. Krishchenko

The average-shadowing property and transitivity for continuous flows pp. 989-995

Rongbao Gu, Yeqing Sheng and Zhijie Xia

Global stability of an SEI epidemic model with general contact rate pp. 997-1004

Guihua Li and Jin Zhen

Quantized planary dynamics in orthogonal magneto-electrostatic fields pp. 1005-1011

Marina-Aura Dariescu and Ciprian Dariescu

Observer-based robust adaptive variable universe fuzzy control for chaotic system pp. 1013-1032

Jiang Wang, Guo-Dong Qiao and Bin Deng

Two types of new Lie algebras and corresponding hierarchies of evolution equations pp. 1033-1041

Tiecheng Xia, Xiaohong Chen and Dengyuan Chen

Comparison of perturbative and non-perturbative models for description of nucleon properties pp. 1043-1047

T.S.T. Ali

Controlling chaotic systems via nonlinear feedback control pp. 1049-1054

Ju H. Park

A new representation of N-soliton solution and limiting solutions for the fifth order KdV equation pp. 1055-1061

Yi Zhang and Deng-yuan Chen

Secure digital communication using controlled projective synchronisation of chaos pp. 1063-1070

Chin Yi Chee and Daolin Xu

Secure communication via multiple parameter modulation in a delayed chaotic system pp. 1071-1076

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

Statistical properties of nucleotides in human chromosomes 21 and 22 pp. 1077-1085

Linxi Zhang and Tingting Sun

Anomaly cancellation and the mass spectrum of ε(∞) pp. 1087-1090

M.S. El Naschie

2005, volume 23, articles 2

The Higgs and the expectation value of the number of elementary particles in a supersymmetric extensions of the standard model of high energy physics pp. 363-371

M.S. El Naschie

A note on various supersymmetric extensions of the standard model of high-energy particles and E-Infinity theory pp. 683-688

M.S. El Naschie