Observation of a fast rotating wave in rings of coupled chaotic oscillators

被引：80

作者：

Matias, MA ^{[1
]}

PerezMunuzuri, V ^{[1
]}

Lorenzo, MN ^{[1
]}

Marino, IP ^{[1
]}

PerezVillar, V ^{[1
]}

机构：

[1] UNIV SANTIAGO DE COMPOSTELA,FAC PHYS,GRP NONLINEAR PHYS,E-15706 SANTIAGO COMPOSTE,SPAIN

来源：

PHYSICAL REVIEW LETTERS | 1997年 / 78卷 / 02期

关键词：

D O I：

10.1103/PhysRevLett.78.219

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We report on the discovery of a transition in rings of coupled electronic circuits in the chaotic regime to a collective periodic state characterized by a time scale that is between two and three orders faster than that corresponding to an isolated circuit. This transition arises from a linear instability in the uniform synchronized state of the ring through a symmetric Hopf bifurcation. The same type of transition is also observed for other coupled chaotic systems, e.g., a ring of Lorenz attractors.

引用

页码：219 / 222

页数：4

共 31 条

[1] PATTERNS AT PRIMARY HOPF BIFURCATIONS OF A PLEXUS OF IDENTICAL OSCILLATORS [J].

ALEXANDER, JC .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1986, 46 (02) :199-221

[2]

[Anonymous], INSIDE SPICE

[3]

ASHWIN P, 1990, NONLINEARITY, V3, P861

[4]

Auchmuty J. F. G., 1979, ANN NY ACAD SCI, V316, P263

[5]

COLLINS JJ, 1994, BIOL CYBERN, V71, P95, DOI 10.1007/BF00197312

[6] ROTATING WAVES AS ASYMPTOTIC SOLUTIONS OF A MODEL CHEMICAL-REACTION [J].

ERNEUX, T ;

HERSCHKOWITZKAUFMAN, M .

JOURNAL OF CHEMICAL PHYSICS, 1977, 66 (01) :248-250

[7] HOPF-BIFURCATION IN THE PRESENCE OF SYMMETRY [J].

GOLUBITSKY, M ;

STEWART, I .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1985, 87 (02) :107-165

[8]

GUEMEZ J, 1995, PHYS REV E, V52, pR2145

[9] Synchronous oscillatory activity in assemblies of chaotic model neurons [J].

Guemez, J ;

Matias, MA .

PHYSICA D-NONLINEAR PHENOMENA, 1996, 96 (1-4) :334-343

[10]

GUEMEZ J, 1996, PHYS REV E, V53, P3509

← 1 2 3 4 →