Hierarchical fractal Weyl laws for chaotic resonance states in open mixed systems
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Contributors
Abstract
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.
Details
Original language | English |
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Article number | 114102 |
Journal | Physical review letters |
Volume | 111 |
Issue number | 11 |
Publication status | Published - 13 Sept 2013 |
Peer-reviewed | Yes |