On the nonexistence of the closed orbit for a Liénard system

DOI10.1007/S10012-000-0225-0zbMath0999.34042OpenAlexW1964867328MaRDI QIDQ1579867

Makoto Hayashi

Publication date: 26 November 2002

Published in: Southeast Asian Bulletin of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10012-000-0225-0

zbMATH Keywords

Liénard systemnonexistenceclosed orbit

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Relaxation oscillations for ordinary differential equations (34C26)

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An improvement of the non-existence region for limit cycles of the Bogdanov-Takens system ⋮ On the Liénard system with two isoclines

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