Bifurcation from homoclinic to periodic solutions in singularly perturbed differential inclusions

DOI10.1017/S0308210500023799zbMath0990.34038MaRDI QIDQ4354105

Michal Fečkan

Publication date: 31 January 2002

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Ordinary differential inclusions (34A60) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items

Chaos in ordinary differential equations with multivalued perturbations: Applications to dry friction problems ⋮ Bifurcation of periodic solutions in differential inclusions ⋮ CHAOS IN NONAUTONOMOUS DIFFERENTIAL INCLUSIONS

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Bounded solutions to singularly perturbed systems of O. D. E
• Periodic solutions of dry friction problems
• Bifurcation from homoclinic to periodic solutions in ordinary differential equations with multivalued perturbations
• Exponential dichotomies and transversal homoclinic points
• Topological degree methods in multi-valued boundary value problems
• Melnikov functions for singularly perturbed ordinary differential equations