Destruction of KAM tori in Hamiltonian systems: Link with the destabilization of nearby cycles and calculation of residues

DOI10.1016/0167-2789(84)90134-9zbMath0597.58026OpenAlexW1989949376MaRDI QIDQ1079263

B. George

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0167-2789(84)90134-9

zbMATH Keywords

Mathieu equationKAM torinon-integrable Hamiltonianstability of cycles

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items

Renormalization-group analysis for the transition to chaos in Hamiltonian systems, Exact results for an approximate renormalisation scheme and some predictions for the breakup of invariant tori, Existence of critical invariant tori, PERIOD DOUBLING RENORMALIZATION FOR AREA-PRESERVING MAPS AND MILD COMPUTER ASSISTANCE IN CONTRACTION MAPPING PRINCIPLE, Period doubling in area-preserving maps: an associated one-dimensional problem, The critical renormalization fixed point for commuting pairs of area-preserving maps

Cites Work

• Stochastic behavior in classical and quantum Hamiltonian systems. Volta memorial conference, Como, 1977
• Critical Behavior of a KAM surface. I: Empirical results
• Two-Dimensional Measure-Preserving Mappings
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