Spatiotemporal chaos in terms of unstable recurrent patterns

Spatiotemporal chaos in terms of unstable recurrent patterns
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DOI:
10.1088/0951-7715/10/1/004
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发表时间:
1997-01-01
期刊:
影响因子:
1.7
通讯作者:
Putkaradze, V
Putkaradze, V
中科院分区:
数学2区
文献类型:
--
作者:
Christiansen, F;Cvitanovic, P;Putkaradze, V

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利用Kuramoto-Sivashinsky系统的不稳定时空周期解的无限层次来描述系统的时空混沌动力学。相应不变量集的内在参数化可以精确地指导高维动力学,周期轨道理论可以产生表征混沌动力学的几个全局平均值。
Spatiotemporally chaotic dynamics of a Kuramoto-Sivashinsky system is described by means of an infinite hierarchy of its unstable spatiotemporally periodic solutions. An intrinsic parametrization of the corresponding invariant set serves as an accurate guide to the high-dimensional dynamics, and the periodic orbit theory yields several global averages characterizing the chaotic dynamics.