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Spatial orders appearing at instabilities of synchronous chaos of spatiotemporal systems

机译:时空系统同步混沌的不稳定性中出现的空间秩序

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摘要

Various spatial orders introduced by the instabilities of synchronous chaotic state of spatiotemporal systems are investigated by considering coupled map lattice and chaotic partial differential equation. In particular, the motions of on-off intermittent states at the onset of the instabilities are studied in detail. The chaotic desynchronized patterns can be described by a simple universal form, including three parts: the synchronous chaos; a spatially ordered pattern, determined by the unstable mode of the reference synchronous chaos; and on-off intermittency of the scale of this given pattern.
机译:通过考虑耦合图格和混沌偏微分方程,研究了时空系统同步混沌状态的不稳定性所引入的各种空间阶。特别地,详细研究了在不稳定性开始时的开-关间歇状态的运动。混沌去同步模式可以用简单的通用形式来描述,包括三个部分:同步混沌;同步混沌;同步混沌。由参考同步混沌的不稳定模式确定的空间有序模式;以及此给定模式的规模的间歇性。

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