Critical exponent for gap filling at crisis

被引:29
|
作者
Szabo, KG
Lai, YC
Tel, T
Grebogi, C
机构
[1] UNIV KANSAS, DEPT PHYS & ASTRON, LAWRENCE, KS 66045 USA
[2] UNIV MARYLAND, DEPT MATH, COLLEGE PK, MD 20742 USA
关键词
D O I
10.1103/PhysRevLett.77.3102
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A crisis in chaotic dynamical systems is characterized by the conversion of a nonattracting, Cantor-set-like chaotic saddle into a chaotic attractor. The grape in between various pieces of the chaotic saddle are densely filled after the crisis, We give a quantitative scaling theory for the growth of the topological entropy for a major class of crises, the interior crisis. The theory is confirmed by numerical experiments.
引用
收藏
页码:3102 / 3105
页数:4
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