A criterion of the nonexistence of periodic solutions to a generalized Liénard system and its application

DOI10.1007/s11766-999-0050-xzbMath0922.34027OpenAlexW2034884222MaRDI QIDQ1288277

Jin Zhou, Lan Xiang

Publication date: 14 October 1999

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-999-0050-x

zbMATH Keywords

periodic solutionsLiénard systemnonlinear oscillation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Cites Work

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• Non-existence of periodic solutions of the Liénard system
• The existence of limit cycles of nonlinear oscillation equations
• On the generalized Liénard equation without the signum condition
• On the nonexistence of periodic solutions for liénard equations
• On the necessary and sufficient conditions for the boundedness of the solutions of the nonlinear oscillating equation
• On the Liénard system which has no periodic solutions

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