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Frobenius-Perron Resonances for Maps with a Mixed Phase Space

Joachim Weber·Fritz Haake·Petr Seba
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Abstract

Resonances of the time evolution (Frobenius-Perron) operator P for phase space densities have recently been shown to play a key role for the interrelations of classical, semiclassical and quantum dynamics. Efficient methods to determine resonances are thus in demand, in particular for Hamiltonian systems displaying a mix of chaotic and regular behavior. We present a powerful method based on truncating P to a finite matrix which not only allows to identify resonances but also the associated phase space structures. It is demonstrated to work well for a prototypical dynamical system.

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Joachim Weber, Fritz Haake, Petr Seba. 2001-05-03. Frobenius-Perron Resonances for Maps with a Mixed Phase Space. https://doi.org/10.1103/physrevlett.85.3620

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