SYMMETRICAL CHAOS IN SYSTEMS OF 3 AND 4 FORCED OSCILLATORS

被引：26

作者：

ASHWIN, P

机构：

[1] Nonlinear Syst. Lab., Warwick Univ., Coventry

来源：

NONLINEARITY | 1990年 / 3卷 / 03期

关键词：

D O I：

10.1088/0951-7715/3/3/004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is a presentation of the results from an experimental investigation into the dynamics of three and four symmetrically coupled identical electronic oscillators. The attractors for a variety of different parameter values are displayed, and their structure is explained in terms of dynamical systems theory concepts. The concept of a symmetry-induced collision of chaotic attractors is used to explain abrupt changes in the number and symmetry of the attractors as a parameter is varied.

引用

页码：603 / 617

页数：15

共 13 条

[1] 3 IDENTICAL OSCILLATORS WITH SYMMETRICAL COUPLING
ASHWIN, P
KING, GP
SWIFT, JW
[J]. NONLINEARITY, 1990, 3 (03) : 585 - 601
[2] BAESENS C, 1989, 3 COUPLED OSCILLATOR
[3] SYMMETRY-INCREASING BIFURCATION OF CHAOTIC ATTRACTORS
CHOSSAT, P
GOLUBITSKY, M
[J]. PHYSICA D, 1988, 32 (03): : 423 - 436
[4] Golubitsky M., 1988, APPL MATH SCI, V69
[5] GRASMAN J, 1987, APP MATH SCI, V63
[6] CRISES, SUDDEN CHANGES IN CHAOTIC ATTRACTORS, AND TRANSIENT CHAOS
GREBOGI, C
OTT, E
YORKE, JA
[J]. PHYSICA D, 1983, 7 (1-3): : 181 - 200
[7] GUCKENHEIMER J, 1983, APPLIED MATH SCI, V42
[8] SYMMETRY-RECOVERING CRISES OF CHAOS IN POLARIZATION-RELATED OPTICAL BISTABILITY
KITANO, M
YABUZAKI, T
OGAWA, T
[J]. PHYSICAL REVIEW A, 1984, 29 (03): : 1288 - 1296
[9] NON-LINEAR CIRCUIT MODE ANALYSIS
LINKENS, DA
[J]. IEE PROCEEDINGS-A-SCIENCE MEASUREMENT AND TECHNOLOGY, 1983, 130 (02): : 69 - 87
[10] TRANSITION TO TOPOLOGICAL CHAOS FOR CIRCLE MAPS
MACKAY, RS
TRESSER, C
[J]. PHYSICA D, 1986, 19 (02): : 206 - 237

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