Action-gradient-minimizing pseudo-orbits and almost-invariant tori

DOI10.1016/j.cnsns.2011.04.022zbMath1322.70016arXiv1104.5609OpenAlexW1992345635MaRDI QIDQ426137

A. M. Gibson, S. R. Hudson, Robert L. Dewar

Publication date: 11 June 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.5609

zbMATH Keywords

Hamiltonian phase-space actionLagrangian configuration-space actionminimax orbits

Mathematics Subject Classification ID

Nearly integrable Hamiltonian systems, KAM theory (70H08) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (1)

A new method to compute periodic orbits in general symplectic maps

Uses Software

• Mathematica

Cites Work

• Are ghost surfaces quadratic-flux-minimizing?
• Almost-invariant sets and invariant manifolds - connecting probabilistic and geometric descriptions of coherent structures in flows
• Optimal oscillation-center transformations
• Flux-minimizing curves for reversible area-preserving maps
• Rational quadratic-flux minimizing circles for area-preserving twist maps
• Hamiltonian description of the ideal fluid
• Symplectic maps, variational principles, and transport
• Slowly pulsating separatrices sweep homoclinic tangles where islands must be small: an extension of classical adiabatic theory
• Greene's residue criterion
• Chaotic transport by Rossby waves in shear flow
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