On the Liénard system which has no periodic solutions

DOI10.1017/S0305004100076064zbMath0778.34030MaRDI QIDQ5288389

Jitsuro Sugie, Toshiaki Yoneyama

Publication date: 20 December 1993

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

Liénard systemnonexistence of periodic solutions

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)

Related Items

Qualitative behavior of solutions of Liénard-type systems with state-dependent impulses, Limit cycles of a class of Liénard systems derived from state-dependent impulses, Existence of periodic and bounded solutions of the generalized Liénard equation under forcing, Notice on the Vinograd type theorems for Liénard system, A counterexample to a conjecture on the global asymptotic stability for liénard equation, Global-in-time existence of unbounded separatrices and blow-up time of solutions for Liénard systems whose restoring force is an odd power function, On the Liénard system with two isoclines, A criterion of the nonexistence of periodic solutions to a generalized Liénard system and its application

Cites Work

• On the existence of limit cycles of the equation \(x'=h(y)-F(x),y'=-g(x)\)
• Non-existence of periodic solutions of the Liénard system
• On the qualitative behaviour of solutions of Liénard equation
• The global centre for the Liénard system
• Unnamed Item