Heteroclinic connections in singularly perturbed systems

DOI10.3934/dcdsb.2008.9.431zbMath1155.34023OpenAlexW2321903395MaRDI QIDQ934155

Flaviano Battelli, Kenneth James Palmer

Publication date: 29 July 2008

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2008.9.431

zbMATH Keywords

invariant manifoldsMelnikov functionheteroclinic orbitshomoclinic bifurcationsingularly perturbed system

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (1)

Transverse intersection of invariant manifolds in singular systems.

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