Complex dynamics in multistable systems

被引：179
|
作者：
Feudel, Ulrike [1 ]
机构：
[1] Carl von Ossietzky Univ Oldenburg, ICBM, D-26111 Oldenburg, Germany
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2008年 / 18卷 / 06期
关键词：
coexisting attractors; multistability; attractor hopping; fractal basin boundaries;
D O I：
10.1142/S0218127408021233
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The coexistence of several stable states for a given set of parameters has been observed in many natural and experimental systems as well as in theoretical models. This paper gives an overview over the wide range of applications in different disciplines of science. Furthermore, different system classes possessing multistability are analyzed in terms of the appearance of coexisting attractors and their basins of attraction. It is shown that multistable systems are very sensitive to perturbations leading to a noise-induced hopping process between attractors. The role of chaotic saddles in the escape from attractors in multistable systems is discussed.
引用
收藏
页码：1607 / 1626
页数：20
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