Connecting orbits near the adiabatic limit of Lagrangian systems with turning points

DOI10.1134/S1560354717050021zbMath1435.37089OpenAlexW2759203213MaRDI QIDQ1695066

Alexey V. Ivanov

Publication date: 6 February 2018

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354717050021

zbMATH Keywords

singular perturbationexponential dichotomyconnecting orbitshomoclinic and heteroclinic orbitsnonautonomous Lagrangian system

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Related Items

On \(SL(2,\mathbb{R})\)-cocycles over irrational rotations with secondary collisions, On transversal connecting orbits of Lagrangian systems in a nonstationary force field: the Newton-Kantorovich approach, On singularly perturbed linear cocycles over irrational rotations

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