Singular Perturbation Theory for Homoclinic Orbits in a Class of Near- Integrable Dissipative Systems

DOI10.1137/S0036141093245422zbMath0835.34049MaRDI QIDQ4859561

Gregor Kovačič

Publication date: 15 April 1996

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

Melnikov methodgeometric singular perturbation theoryhomoclinic and heteroclinic orbitsnear-integrable dissipative systems

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Bifurcation theory for ordinary differential equations (34C23) Singular perturbations of ordinary differential equations (34D15) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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