Higher-order change of the Hamiltonian (energy) for nearly homoclinic orbits

DOI10.4310/MAA.1994.V1.N4.A6zbMath0835.34063OpenAlexW175891685MaRDI QIDQ1902366

Eric K. Ho, Richard Haberman

Publication date: 19 March 1996

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/maa.1994.v1.n4.a6

zbMATH Keywords

homoclinic orbitconservative dynamical systemssmall dissipative perturbation

Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Asymptotic expansions of solutions to ordinary differential equations (34E05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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