Modular smoothing and KAM tori

DOI10.1016/0167-2789(94)90181-3zbMath0814.70013OpenAlexW1979736838MaRDI QIDQ1339252

Ian C. Percival, Nikola Buric

Publication date: 13 June 1995

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

Full work available at URL: https://doi.org/10.1016/0167-2789(94)90181-3

zbMATH Keywords

transformation propertiesmodular groupinvariant torizeroth order modular smoothing approximation

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (3)

Probability in theories with complex dynamics and Hardy's fifth axiom ⋮ Arithmetic properties of spectra produced by Farey hierarchies of approximants ⋮ Relations between different notions of degrees of freedom of a quantum system and its classical model

Cites Work

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• Chaotic boundary of a hamiltonial map
• Converse KAM: theory and practice
• Universal small-scale structure near the boundary of Siegel disks of arbitrary rotation number
• Exact results for an approximate renormalisation scheme and some predictions for the breakup of invariant tori
• Critical functions for complex analytic maps
• Critical function and modular smoothing
• Modular smoothing and finite perturbation theory
• On the standard map critical function
• A variational principle for invariant tori of fixed frequency

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