Frobenius-Perron Resonances for Maps with a Mixed Phase Space

Details Frobenius-Perron Resonances for Maps with a Mixed Phase Space Frobenius-Perron Resonances for Maps with a Mixed Phase Space

2000-01-10

arxiv.org/abs/nlin/0001013v2

Phys. Rev. Lett. 85, 3620 (2000)

Nonlinear Sciences

Chaotic Dynamics

5 pages, 2 figures, 2nd version as published (minor changes)

Scientific paper

10.1103/PhysRevLett.85.3620

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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