Singular perturbation theory for homoclinic orbits in a class of near- integrable Hamiltonian systems

DOI10.1007/BF01049139zbMath0796.34035MaRDI QIDQ1320286

Gregor Kovačič

Publication date: 19 April 1994

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

zbMATH Keywords

periodic orbitsstable and unstable manifoldshomoclinic and heteroclinic solutionsMelnilov functionresonance bandtwo-degree of freedom Hamiltonian systems with perturbations

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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