Confined chaotic behavior in collective motion for populations of globally coupled chaotic elements
Confined chaotic behavior in collective motion for populations of globally coupled chaotic elements
复制标题
全局耦合混沌元素群体集体运动中的受限混沌行为
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
T. Komatsu
中科院分区：
文献类型：
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作者：
N. Nakagawa;T. Komatsu
定义了集体运动的李雅普诺夫指数，以表征大种群混沌元集体运动的混沌特性。对这个量的数值计算表明，这种集体运动无论何时出现，总是混沌的。集体运动的混沌行为被发现局限在一个小尺度内，其大小估计使用的李雅普诺夫指数的值。最后，我们推测为什么集体运动出现低维，尽管实际的高维动力学。
The Lyapunov exponent for collective motion is defined in order to characterize chaotic properties of collective motion for large populations of chaotic elements. Numerical computations for this quantity suggest that such collective motion is always chaotic, whenever it appears. Chaotic behavior of collective motion is found to be confined within a small scale, whose size is estimated using the value of the Lyapunov exponent. Finally, we conjecture why the collective motion appears low dimensional despite the actual high dimensionality of the dynamics.