Birkhoff averages and rotational invariant circles for area-preserving maps
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Publication:2127376
DOI10.1016/j.physd.2020.132569zbMath1496.37063arXiv2001.00086OpenAlexW2997646426MaRDI QIDQ2127376
Publication date: 20 April 2022
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.00086
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) Rotation numbers and vectors (37E45)
Related Items (6)
Numerical Computation of Critical Surfaces for the Breakup of Invariant Tori in Hamiltonian Systems ⋮ A new averaging-extrapolation method for quasi-periodic frequency refinement ⋮ Distinguishing between regular and chaotic orbits of flows by the weighted Birkhoff average ⋮ Expected value of the smallest denominator in a random interval of fixed radius ⋮ Birkhoff averages and the breakdown of invariant tori in volume-preserving maps ⋮ Unpredictability in Hamiltonian systems with a hierarchical phase space
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