Separatrix Crossing: Time-Invariant Potentials with Dissipation

DOI10.1137/0150102zbMath0714.34052OpenAlexW2081149563MaRDI QIDQ3199799

F. Jay Bourland, Richard Haberman

Publication date: 1990

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0150102

zbMATH Keywords

asymptotic behaviorhomoclinic orbitsMelnikov methodsequence of perturbed solitary pulsessolution near the separatrixStrongly nonlinear oscillations in a double-well potential

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Averaging method for ordinary differential equations (34C29) 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) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

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