On the strength of attractors in a high-dimensional system: Milnor attractor network, robust global attraction, and noise-induced selection

被引:75
作者
Kaneko, K [1 ]
机构
[1] Univ Tokyo, Coll Arts & Sci, Dept Pure & Appl Sci, Meguro Ku, Tokyo 153, Japan
来源
PHYSICA D | 1998年 / 124卷 / 04期
关键词
D O I
10.1016/S0167-2789(98)00205-X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Strength of attractor is studied by the return rate to itself after perturbations, for a multi attractor state of a globally coupled map. It is found that fragile (Milnor) attractors have a large basin volume at the partially ordered phase. Such dominance of fragile attractors is understood by robustness of global, attraction in the phase space. Change of the attractor strength and basin volume against the parameter and size are studied. In the partially ordered phase, the dynamics is often described as Milnor attractor network, which leads to a new interpretation of chaotic itinerancy. Noise-induced selection of fragile attractors is found that has a sharp dependence on the noise amplitude. Relevance of the observed results to neural dynamics and cell differentiation is also discussed. (C) 1998 Elsevier Science B.V.
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页码:322 / 344
页数:23
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