On the strength of attractors in a high-dimensional system: Milnor attractor network, robust global attraction, and noise-induced selection
On the strength of attractors in a high-dimensional system: Milnor attractor network, robust global attraction, and noise-induced selection
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DOI：
10.1016/s0167-2789(98)00205-x
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发表时间：
1998-12-15
期刊：
影响因子：
4
通讯作者：
Kaneko, K
中科院分区：
文献类型：
--
作者：
Kaneko, K
对于全局耦合映射的多吸引子状态，用扰动后对自身的返回率研究了吸引子的强度。发现脆性（Milnor）吸引子在部分有序相具有较大的盆体积。脆弱吸引子的这种优势可以通过相空间中全局吸引的鲁棒性来理解。研究了吸子强度和盆体积随参数和尺寸的变化。在部分有序相中，动力学通常被描述为米尔诺吸引子网络，这导致了混沌流动的新解释。发现易碎吸引子的噪声诱导选择与噪声幅值有很大的相关性。观察结果与神经动力学和细胞分化的相关性也进行了讨论。(C) 1998爱思唯尔科学有限公司
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.