Global effect of non-conservative perturbations on homoclinic orbits

DOI10.1007/s12346-020-00431-zzbMath1459.37050arXiv1909.02080OpenAlexW3120811855MaRDI QIDQ2222383

Marian Gidea, Rafael de la Llave, Maxwell Musser

Publication date: 27 January 2021

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.02080

zbMATH Keywords

homoclinic orbitsMelnikov methodscattering map

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Related Items

Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows ⋮ Arnold Diffusion in a Model of Dissipative System ⋮ Melnikov method for non-conservative perturbations of the restricted three-body problem

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