Birkhoff averages and the breakdown of invariant tori in volume-preserving maps

DOI10.1016/j.physd.2021.133048zbMath1491.37076arXiv2106.15024OpenAlexW3202231131MaRDI QIDQ2077807

Yanyan Li

Publication date: 22 February 2022

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

Full work available at URL: https://arxiv.org/abs/2106.15024

zbMATH Keywords

KAM theoryinvariant toriBirkhoff averagesvolume-preserving mapsspiral meanquasi periodic orbits

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodic theorems, spectral theory, Markov operators (37A30) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Computational methods for invariant manifolds of dynamical systems (37M21)

Related Items (5)

A new averaging-extrapolation method for quasi-periodic frequency refinement ⋮ Introduction to special issue: Chaos indicators, phase space and chemical reaction dynamics ⋮ Distinguishing between regular and chaotic orbits of flows by the weighted Birkhoff average ⋮ Breakdown of rotational tori in 2D and 4D conservative and dissipative standard maps ⋮ Unpredictability in Hamiltonian systems with a hierarchical phase space

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