Homoclinic saddle-node bifurcations in singularly perturbed systems

DOI10.1023/A:1009050803510zbMath0949.34031OpenAlexW1837094555MaRDI QIDQ1978106

Arjen Doelman, Geertje Hek

Publication date: 5 December 2000

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

Full work available at URL: https://doi.org/10.1023/a:1009050803510

zbMATH Keywords

singularly perturbed systemsglobal bifurcationshomoclinic orbitsreturn maps

Mathematics Subject Classification ID

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

Related Items (3)

Transverse bounded solutions to saddle-centers in periodically perturbed ordinary differential equations ⋮ Geometric singular perturbation theory in biological practice ⋮ Multipulse-like orbits for a singularly perturbed nearly integrable system.

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