Critical function for the standard map

DOI10.1016/0167-2789(91)90124-RzbMath0739.70013OpenAlexW2052320180MaRDI QIDQ1181322

N. W. Murray

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1016/0167-2789(91)90124-r

zbMATH Keywords

Hamiltonian systemslong time behaviorLie transformsrenormalization techniquesbroken KAM toricritical function

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items

Correlation decay and return time statistics. ⋮ Average exit time for volume-preserving maps ⋮ Critical invariant circles in asymmetric and multiharmonic generalized standard maps ⋮ Symplectic maps, variational principles, and transport

Uses Software

• Taylor-Chirikov map

Cites Work

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• Regular and stochastic motion
• Stable and Random Motions in Dynamical Systems
• Critical function and modular smoothing