Liénard dynamics with an open limit orbit

DOI10.1007/PL00001440zbMath0982.34041OpenAlexW2086581681MaRDI QIDQ5937992

Jitsuro Sugie

Publication date: 22 March 2002

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00001440

zbMATH Keywords

limit cycleLiénard equationglobal weak attractorhomoclinic loop

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Nonlinear ordinary differential equations and systems (34A34) Growth and boundedness of solutions to ordinary differential equations (34C11) Attractors of solutions to ordinary differential equations (34D45) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items

On the homoclinic orbits of the generalized Liénard equations ⋮ THE GENERALISED LIÉNARD EQUATIONS ⋮ Global asymptotic stability of nonautonomous systems of Liénard type. ⋮ A NOTE ON PERIODIC SOLUTIONS OF A FORCED LIÉNARD-TYPE EQUATION ⋮ Homoclinic orbits in generalized Liénard systems