Frobenius-Perron Resonances for Maps with a Mixed Phase Space
arXiv:nlin/0001013 · doi:10.1103/PhysRevLett.85.3620
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.
5 pages, 2 figures, 2nd version as published (minor changes)
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Cited by in corpus (20)
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