Analytical Expression for Low-Dimensional Resonance Islands in a 4-Dimensional Symplectic Map

DOI10.1143/PTP.115.251zbMath1124.37032arXivnlin/0512073OpenAlexW2047443671MaRDI QIDQ5425245

Shinitiro Goto

Publication date: 9 November 2007

Published in: Progress of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0512073

zbMATH Keywords

singular perturbationrenormalizationchaotic Hamiltonian systemsnearly integrable symplectic maps

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Universality and renormalization of dynamical systems (37E20)

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