One-dimensional map lattices: Synchronization, bifurcations, and chaotic structures.

One-dimensional map lattices: Synchronization, bifurcations, and chaotic structures.
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DOI：
10.1103/physreve.54.3196
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发表时间：
1996-10
期刊：
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
影响因子：
--
通讯作者：
V. Belykh;E. Mosekilde
V. Belykh;E. Mosekilde
中科院分区：
其他
文献类型：
--
作者：
V. Belykh;E. Mosekilde

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本文对局部映射的任意非线性、空间位移和扩散耦合的耦合映象格子（cid：126）CML（cid：33）进行了定性分析。同步的效果，独立于初始条件，CML的所有元素获得一致的动态进行了研究和稳定的混沌时间行为，稳定的结构，行波描述。最后讨论了时空混沌向混沌同步过渡时的分岔现象以及具有特定对称性的巨模L的特性。(cid：64）S1063-651X
The paper presents a qualitative analysis of coupled map lattices (cid:126) CMLs (cid:33) for the case of arbitrary nonlinearity of the local map and with space-shift as well as diffusion coupling. The effect of synchronization where, independently of the initial conditions, all elements of a CML acquire uniform dynamics is investigated and stable chaotic time behaviors, steady structures, and traveling waves are described. Finally, the bifurcations occurring under the transition from spatiotemporal chaos to chaotic synchronization and the peculiarities of CMLs with specific symmetries are discussed. (cid:64) S1063-651X