Global-in-time existence of unbounded separatrices and blow-up time of solutions for Liénard systems whose restoring force is an odd power function

DOI10.1016/j.jde.2023.02.052OpenAlexW4323869469MaRDI QIDQ2700646

Jitsuro Sugie

Publication date: 27 April 2023

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

Full work available at URL: https://doi.org/10.1016/j.jde.2023.02.052

zbMATH Keywords

nonlinear dynamicsglobal existenceLiénard systemsblow-up timeLyapunov-like functionsunbounded separatrix

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Orbit growth in dynamical systems (37C35)

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