Isostables, isochrons, and Koopman spectrum for the action-angle representation of stable fixed point dynamics

DOI10.1016/j.physd.2013.06.004zbMath1284.37047arXiv1302.0032OpenAlexW2114876173MaRDI QIDQ2443095

Alexandre Mauroy, Igor Mezić, Jeff Moehlis

Publication date: 4 April 2014

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.0032

zbMATH Keywords

Lyapunov functionnonlinear dynamicsexcitable systemsaction-angle coordinatesisochronsKoopman operator

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

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