How fast elements can affect slow dynamics
How fast elements can affect slow dynamics
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DOI：
10.1016/s0167-2789(03)00046-0
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发表时间：
2003-06-01
影响因子：
4
通讯作者：
Kaneko, K
中科院分区：
文献类型：
--
作者：
Fujimoto, K;Kaneko, K
研究了一系列具有不同时间尺度的混沌元素。与绝热近似相反，我们发现，当元素的时间尺度差异在一定范围内时，元素之间的相关性从更快地转移到较慢的元素。为了使这种相关性发生，三个特征是必不可少的：元素之间的强相关性，通过改变其控制参数的最快元素动力学的分叉，以及分叉的级联传播。通过研究耦合的Rossler方程，我们证明了当满足这些条件时，快速元素会影响缓慢元素的动力学。简要讨论了我们的结果与生物记忆的相关性。 （c）2003 Elsevier Science B.V.保留所有权利。
A chain of coupled chaotic elements with different time scales is studied. In contrast with the adiabatic approximation, we find that correlations between elements are transferred from faster to slower elements when the differences in the time scales of the elements lie within a certain range. For such correlations to occur, three features are essential: strong correlations among the elements, a bifurcation in the dynamics of the fastest element by changing its control parameter, and cascade propagation of the bifurcation. By studying coupled Rossler equations, we demonstrate that fast elements can affect the dynamics of slow elements when these conditions are satisfied. The relevance of our results to biological memory is briefly discussed. (C) 2003 Elsevier Science B.V. All rights reserved.