Synchronization of spatiotemporal nonlinear dynamical systems by an active control

被引：43

作者：

Codreanu, S ^{[1
]}

机构：

[1] Univ Babes Bolyai, Dept Theoret Phys, R-3400 Cluj Napoca, Romania

来源：

CHAOS SOLITONS & FRACTALS | 2003年 / 15卷 / 03期

关键词：

D O I：

10.1016/S0960-0779(02)00128-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The approach we present in this work examines the synchronization of unidirectionally coupled nonlinear partial differential equations (PDEs) by an active control. It is a generalization of the method used by us to synchronize chaotic systems, described by one- or two-dimensional maps. The considered pair of PDEs are Fisher-Kolmogorov's equations, the synchronization of which we studied both analytically and numerically. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：507 / 510

页数：4

共 14 条

[1] Synchronization of two Lorenz systems using active control [J].

Bai, EW ;

Lonngren, KE .

CHAOS SOLITONS & FRACTALS, 1997, 8 (01) :51-58

[2] INVERSE SOLUTION FOR SOME TRAVELING-WAVE REACTION DIFFUSION-PROBLEMS [J].

BORZI, C ;

FRISCH, HL ;

GIANOTTI, R ;

PERCUS, JK .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (21) :4823-4830

[3] DIFFUSION IN NONLINEAR MULTIPLICATIVE MEDIA [J].

CANOSA, J .

JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (10) :1862-&

[4] An indirect synchronization of chaotic trajectories [J].

Codreanu, S ;

Savici, A .

CHAOS SOLITONS & FRACTALS, 2001, 12 (05) :845-850

[5]

CODREANU S, 2000, ROMANIAN REP PHYS, V52, P225

[6] The wave of advance of advantageous genes [J].

Fisher, RA .

ANNALS OF EUGENICS, 1937, 7 :355-369

[7]

Kolmogorov A., 1937, Bull. Moscow State Univ. Ser. A: Math. Mech, V1, P1

[8] Nonlinear waves in reaction-diffusion systems: The effect of transport memory [J].

Manne, KK ;

Hurd, AJ ;

Kenkre, VM .

PHYSICAL REVIEW E, 2000, 61 (04) :4177-4184

[9]

Mikhailov AS, 1994, FDN SYNERGETICS

[10]

Murray J. D., 1993, MATH BIOL, DOI DOI 10.1007/978-3-662-08542-4

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