Homoclinic orbits in generalized Liénard systems

DOI10.1016/J.JMAA.2005.01.023zbMath1088.34044OpenAlexW2082578519MaRDI QIDQ2567304

Jitsuro Sugie

Publication date: 29 September 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.01.023

zbMATH Keywords

Liénard systemphase plane analysishomoclinic orbit

Mathematics Subject Classification ID

Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (5)

On the homoclinic orbits of the generalized Liénard equations ⋮ THE GENERALISED LIÉNARD EQUATIONS ⋮ Limit cycles of a class of Liénard systems derived from state-dependent impulses ⋮ Homoclinic orbits for the planar system of Liénard-type ⋮ Homoclinic orbits in predator-prey systems with a nonsmooth prey growth rate

Cites Work

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• Infinitely many homoclinic orbits of a Hamiltonian system with symmetry
• Notice on the Vinograd type theorems for Liénard system
• A problem on the stability of a positive global attractor
• Liénard dynamics with an open limit orbit

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