Hierarchical fractal Weyl laws for chaotic resonance states in open mixed systems.
Hierarchical fractal Weyl laws for chaotic resonance states in open mixed systems.
复制标题
DOI：
10.1103/physrevlett.111.114102
复制
发表时间：
2013-04
影响因子：
8.6
通讯作者：
Martin J. Korber;Matthias Michler;A. Backer;R. Ketzmerick
中科院分区：
文献类型：
--
作者：
Martin J. Korber;Matthias Michler;A. Backer;R. Ketzmerick
在开放混沌系统中，长寿命共振态的数目服从分形Weyl定律，该定律依赖于混沌鞍的分形维数。我们研究的一般情况下，一个混合相空间的规则和混沌动力学。我们发现一个层次的分形外尔定律，每个区域的分层分解的混沌相空间分量。这是基于我们观察到的层次共振态定位在这些地区。从数值上来说，这对于标准地图和分层模型系统进行了验证。
In open chaotic systems the number of long-lived resonance states obeys a fractal Weyl law, which depends on the fractal dimension of the chaotic saddle. We study the generic case of a mixed phase space with regular and chaotic dynamics. We find a hierarchy of fractal Weyl laws, one for each region of the hierarchical decomposition of the chaotic phase-space component. This is based on our observation of hierarchical resonance states localizing on these regions. Numerically this is verified for the standard map and a hierarchical model system.