Breakdown of rotational tori in 2D and 4D conservative and dissipative standard maps

DOI10.1016/j.physd.2023.133790zbMath1525.37064arXiv2212.13960OpenAlexW4379618839WikidataQ128145731 ScholiaQ128145731MaRDI QIDQ6111906

Adrián P. Bustamante, Alessandra Celletti, Christoph Lhotka

Publication date: 4 August 2023

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

Full work available at URL: https://arxiv.org/abs/2212.13960

zbMATH Keywords

Newton methodinvariant toristandard mapLindstedt seriesGreene method

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Dynamical aspects of twist maps (37E40) Symplectic and canonical mappings (37J11) Computational methods for attractors of dynamical systems (37M22)

Related Items (1)

Accurate computations up to breakdown of quasi-periodic attractors in the dissipative spin-orbit problem

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