Synchronization in a lattice of coupled van der Pol systems

被引：13

作者：

Chiu, CH

Lin, WW

Wang, CS

机构：

[1] Natl Tsing Hua Univ, Dept Math, Hsinchu 30043, Taiwan

[2] Natl Cheng Kung Univ, Dept Math, Tainan 701, Taiwan

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1998年 / 8卷 / 12期

关键词：

D O I：

10.1142/S0218127498001893

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a lattice of coupled van der Pol systems with external periodic forces and Dirichlet boundary conditions. Under the assumption of bounded dissipativeness, we prove that the asymptotic synchronization occurs provided that the coupling coefficients are sufficiently large. Furthermore, we demonstrate from numerical simulations that asymptotic synchronization is affected by the coupling coefficients and the size of lattice.

引用

页码：2353 / 2373

页数：21

共 19 条

[1] ASYNCHRONOUS STATES IN NETWORKS OF PULSE-COUPLED OSCILLATORS [J].

ABBOTT, LF ;

VANVREESWIJK, C .

PHYSICAL REVIEW E, 1993, 48 (02) :1483-1490

[2]

AFRAIMOVICH VS, 1997, PHYSICA D, V103, P445

[3]

ALEXANDER G, 1981, KRONECKER PRODUCT MA

[4]

Anishchenko V. S., 1992, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, V2, P633, DOI 10.1142/S0218127492000756

[5]

CARRERA CJ, 1991, INT J PURINE PYRIMID, V2, P38

[6]

Chua L. O., 1993, Journal of Circuits, Systems and Computers, V3, P93, DOI 10.1142/S0218126693000071

[7]

ERMENTROUT GB, 1985, J MATH BIOL, V22, P1

[8] STABILITY THEORY OF SYNCHRONIZED MOTION IN COUPLED-OSCILLATOR SYSTEMS [J].

FUJISAKA, H ;

YAMADA, T .

PROGRESS OF THEORETICAL PHYSICS, 1983, 69 (01) :32-47

[9] STABILITY OF SYNCHRONIZATION IN NETWORKS OF DIGITAL PHASE-LOCKED LOOPS [J].

GOLDSZTEIN, G ;

STROGATZ, SH .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1995, 5 (04) :983-990

[10]

Guckenheimer J., 1983, NONLINEAR OSCILLATOR

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