All Title Author
Keywords Abstract

Physics  2000 

The leading Ruelle resonances of chaotic maps

DOI: 10.1103/PhysRevE.62.1977

Full-Text   Cite this paper   Add to My Lib


The leading Ruelle resonances of typical chaotic maps, the perturbed cat map and the standard map, are calculated by variation. It is found that, excluding the resonance associated with the invariant density, the next subleading resonances are, approximately, the roots of the equation $z^4=\gamma$, where $\gamma$ is a positive number which characterizes the amount of stochasticity of the map. The results are verified by numerical computations, and the implications to the form factor of the corresponding quantum maps are discussed.


comments powered by Disqus

Contact Us


微信:OALib Journal