Boundary crisis in a 2D piece-wise smooth map

被引：6

作者：

Ma, MQ ^{[1
]}

Wang, WX ^{[1
]}

He, DR ^{[1
]}

机构：

[1] Yangzhou Univ, Dept Phys, Coll Sci, Yangzhou 225002, Peoples R China

来源：

ACTA PHYSICA SINICA | 2000年 / 49卷 / 09期

关键词：

crisis; piece-wise smooth map; scaling law of life time;

D O I：

10.7498/aps.49.1679

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper analytically discusses the characteristics of boundary crisis in a model of impact oscillator, and proves that the scaling behavior of the life time after crisis follows the rule tau-epsilon(-gamma) and gamma = ln\beta(2)\/ln\beta(1)beta(2)\. Here beta(1) and beta(2) are the unstable and stable eigenvalues, respectively,of a saddle node on the basin boundary of a chaotic attractor. This rule is completely different from that in everywhere-smooth maps.

引用

页码：1679 / 1682

页数：4

共 6 条

[1] GRAZING BIFURCATIONS IN IMPACT OSCILLATORS
CHIN, W
OTT, E
NUSSE, HE
GREBOGI, C
[J]. PHYSICAL REVIEW E, 1994, 50 (06) : 4427 - 4444
[2] CHAOTIC ATTRACTORS IN CRISIS
GREBOGI, C
OTT, E
YORKE, JA
[J]. PHYSICAL REVIEW LETTERS, 1982, 48 (22) : 1507 - 1510
[3] CRISES, SUDDEN CHANGES IN CHAOTIC ATTRACTORS, AND TRANSIENT CHAOS
GREBOGI, C
OTT, E
YORKE, JA
[J]. PHYSICA D, 1983, 7 (1-3): : 181 - 200
[4] CRITICAL EXPONENTS FOR CRISIS-INDUCED INTERMITTENCY
GREBOGI, C
OTT, E
ROMEIRAS, F
YORKE, JA
[J]. PHYSICAL REVIEW A, 1987, 36 (11): : 5365 - 5380
[5] PARKER TS, 1989, PRACTICAL NUMERICAL
[6] WANG WX, 2000, J YANGZHOU U

← 1 →