Optical Hamiltonians and symplectic twist maps

DOI10.1016/0167-2789(94)90189-9zbMath0807.58015arXivmath/9210228OpenAlexW1976168008MaRDI QIDQ1339241

Christophe Golé

Publication date: 28 February 1995

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

Full work available at URL: https://arxiv.org/abs/math/9210228

zbMATH Keywords

periodic orbitssymplectic twist mapsoptical Hamiltonian systems

Mathematics Subject Classification ID

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

Related Items (5)

Poincaré-Birkhoff periodic orbits for mechanical Hamiltonian systems on T*Tn ⋮ Variational computation of homoclinic orbits for twist maps ⋮ Linear stability of natural symplectic maps. ⋮ Total destruction of Lagrangian tori ⋮ Perturbations of elliptic billiards

Cites Work

• The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
• Hamiltonian systems, Lagrangian tori and Birkhoff's theorem
• The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. Arnold
• Periodic solutions of Lagrangian systems on a compact manifold
• Birkhoff periodic orbits for small perturbations of completely integrable Hamiltonian systems with convex Hamiltonian
• Periodic orbits for reversible, symplectic mappings
• Critical point theory and Hamiltonian systems
• Periodic solutions of spatially periodic Hamiltonian systems
• Ghost circles for twist maps
• Inégalités ``a priori pour des tores lagrangiens invariants par des difféomorphismes symplectiques. (`A priori' inequalities for Langrangian tori invariant under symplectic diffeomorphisms)
• Converse KAM theory for symplectic twist maps
• Monotone twist mappings and the calculus of variations
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