From generalized synchrony to topological decoherence: emergent sets in coupled chaotic systems.
From generalized synchrony to topological decoherence: emergent sets in coupled chaotic systems.
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从广义同步到拓扑退相干：耦合混沌系统中的涌现集。
DOI：
10.1103/physrevlett.84.1689
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
Schiff,SJ
中科院分区：
文献类型：
--
作者：
Barreto,E;So,P;Gluckman,BJ;Schiff,SJ
考虑耦合混沌系统不稳定周期轨道结构的演化。这涉及到在同步流形之外创建一个复杂的集合(紧急集合)。我们定量地确定了它发展过程中的一个关键转折点(退相干转折)。对于非对称系统，我们还描述了不稳定周期轨道的迁移，这对于理解这些系统是至关重要的。我们的框架提供了一个实验上可测量的转变，即使在前面描述的分叉结构不适用的情况下也是如此。
We consider the evolution of the unstable periodic orbit structure of coupled chaotic systems. This involves the creation of a complicated set outside of the synchronization manifold (the emergent set). We quantitatively identify a critical transition point in its development (the decoherence transition). For asymmetric systems we also describe a migration of unstable periodic orbits that is of central importance in understanding these systems. Our framework provides an experimentally measurable transition, even in situations where previously described bifurcation structures are inapplicable.