Variational computation of homoclinic orbits for twist maps

DOI10.1016/0167-2789(95)00043-4zbMath0890.58078OpenAlexW2007864255MaRDI QIDQ1894675

Eduardo D. Tabacman

Publication date: 9 August 1995

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

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00043-4

zbMATH Keywords

variational methodsheteroclinic orbitshomoclinic orbitstwist maps

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Dynamical systems with hyperbolic behavior (37D99)

Related Items (6)

Singular Separatrix Splitting and the Melnikov Method: An Experimental Study ⋮ Variational computation of homoclinic orbits for twist maps ⋮ Heteroclinic bifurcations and chaotic transport in the two-harmonic standard map ⋮ Heteroclinic orbits and flux in a perturbed integrable Suris map ⋮ Perturbations of elliptic billiards ⋮ Reconnection scenarios and the threshold of reconnection in the dynamics of non-twist maps.

Cites Work

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• The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
• Converse KAM: theory and practice
• Periodic orbits for reversible, symplectic mappings
• Optical Hamiltonians and symplectic twist maps
• Variational computation of homoclinic orbits for twist maps
• On Aubry-Mather sets
• Converse KAM theory for symplectic twist maps
• Variational Construction of Orbits of Twist Diffeomorphisms

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