Multiple homoclinic solutions for singular differential equations

DOI10.1016/j.anihpc.2010.01.005zbMath1217.34075OpenAlexW1996946574MaRDI QIDQ975297

Guangping Luo, Chang Rong Zhu, Kunquan Lan

Publication date: 9 June 2010

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2010.01.005

zbMATH Keywords

singular perturbationsLyapunov-Schmidt reductiondegenerate homoclinic solution

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)

Cites Work

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• Chaos in the Duffing equation
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• Transversal bounded solutions in systems with normal slow variables
• Exponential dichotomies and transversal homoclinic points
• Homoclinic solutions for autonomous ordinary differential equations with nonautonomous perturbations
• Bifurcation from a homoclinic orbit in parabolic differential equations
• Homoclinic Solutions for Autonomous Dynamical Systems in Arbitrary Dimension
• Homoclinic Solutions and Chaos in Ordinary Differential Equations with Singular Perturbations
• Homoclinic points near degenerate homoclinics

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