Resonances of the Frobenius-Perron operator for a Hamiltonian map with a mixed phase space

DOI10.1088/0305-4470/34/36/306zbMath0988.37008arXivnlin/0105047OpenAlexW2046985546MaRDI QIDQ2766233

Christopher Manderfeld, Petr A. Braun, Joachim Weber, Fritz Haake, Petr Šeba

Publication date: 27 January 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0105047

zbMATH Keywords

eigenvalueseigenfunctionsFrobenius-Perron operatorphase spaceHamiltonian systemdynamical zeta functiondecay rate of correlationstroboscopic area preserving map

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Ergodic theorems, spectral theory, Markov operators (37A30) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (6)

Local random vector model for semiclassical fractal structure of chaotic resonance states ⋮ Semiclassical formulae for Wigner distributions ⋮ Statistical properties of dynamical systems -- Simulation and abstract computation ⋮ Ruelle resonances in kicked quantum spin chain ⋮ Frobenius–Perron eigenstates in deformed microdisk cavities: non-Hermitian physics and asymmetric backscattering in ray dynamics ⋮ Eigenfunctions of the Perron–Frobenius operator and the finite-time Lyapunov exponents in uniformly hyperbolic area-preserving maps

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