Leading Ruelle resonances of chaotic maps

Galya Blum, Oded Agam

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


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 [Formula Presented] where [Formula Presented] is a positive number that 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.

Original languageAmerican English
Pages (from-to)1977-1982
Number of pages6
JournalPhysical Review E
Issue number2
StatePublished - 2000


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