Strange non-attracting chaotic sets, crises, and fluctuating Lyapunov exponents

被引：35

作者：

Dawson, SP ^{[1
]}

机构：

[1] UNIV BUENOS AIRES,FAC CIENCIAS EXACTAS & NAT,INST ASTRON & FIS ESPACIO,RA-1428 BUENOS AIRES,DF,ARGENTINA

来源：

PHYSICAL REVIEW LETTERS | 1996年 / 76卷 / 23期

关键词：

D O I：

10.1103/PhysRevLett.76.4348

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Chaotic attractors containing periodic orbits with different numbers of unstable directions display fluctuating Lyapunov exponents. We show that the existence of certain nonattracting chaotic sets inside the attractor guarantees the occurrence of this behavior in a persistent manner. These nonattracting sets can be brought inside the attractor via a new type of crisis and may be created, as a parameter is varied, via a sequence of bifurcations out of unstable periodic orbits.

引用

页码：4348 / 4351

页数：4

共 17 条

[1]

Abraham R., 1970, P S PURE MATH, V14, P5

[2] OBSTRUCTIONS TO SHADOWING WHEN A LYAPUNOV EXPONENT FLUCTUATES ABOUT ZERO [J].

DAWSON, S ;

GREBOGI, C ;

SAUER, T ;

YORKE, JA .

PHYSICAL REVIEW LETTERS, 1994, 73 (14) :1927-1930

[3]

Devaney R.L, 1993, INTRO CHAOTIC DYNAMI, V2nd ed.

[4] EXPERIMENTAL CONTROL OF CHAOS [J].

DITTO, WL ;

RAUSEO, SN ;

SPANO, ML .

PHYSICAL REVIEW LETTERS, 1990, 65 (26) :3211-3214

[5] UNSTABLE PERIODIC-ORBITS AND THE DIMENSIONS OF MULTIFRACTAL CHAOTIC ATTRACTORS [J].

GREBOGI, C ;

OTT, E ;

YORKE, JA .

PHYSICAL REVIEW A, 1988, 37 (05) :1711-1724

[6] CRISES, SUDDEN CHANGES IN CHAOTIC ATTRACTORS, AND TRANSIENT CHAOS [J].

GREBOGI, C ;

OTT, E ;

YORKE, JA .

PHYSICA D, 1983, 7 (1-3) :181-200

[7] UNSTABLE PERIODIC-ORBITS AND THE DIMENSION OF CHAOTIC ATTRACTORS [J].

GREBOGI, C ;

OTT, E ;

YORKE, JA .

PHYSICAL REVIEW A, 1987, 36 (07) :3522-3524

[8] CRITICAL EXPONENTS FOR CRISIS-INDUCED INTERMITTENCY [J].

GREBOGI, C ;

OTT, E ;

ROMEIRAS, F ;

YORKE, JA .

PHYSICAL REVIEW A, 1987, 36 (11) :5365-5380

[9]

HIRSCH MW, 1977, INVARIANT MANIFOLDS, P141

[10] EXPLORING TRANSIENT CHAOS IN AN NMR-LASER EXPERIMENT [J].

JANOSI, IM ;

FLEPP, L ;

TEL, T .

PHYSICAL REVIEW LETTERS, 1994, 73 (04) :529-532

← 1 2 →