An improved criterion for the unique existence of the limit cycle of a Liénard-type system with one parameter

DOI10.1007/s12346-021-00463-zzbMath1472.34061OpenAlexW3139161991MaRDI QIDQ830155

Makoto Hayashi

Publication date: 7 May 2021

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-021-00463-z

zbMATH Keywords

Liénard systemuniquenesslimit cyclesinvariant domain

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An extension of Dragilev's theorem for the existence of periodic solutions of the Liénard equation
• Uniqueness of limit cycles for a class of planar vector fields
• Limit cycle uniqueness for a class of planar dynamical systems
• Non-existence, uniqueness of limit cycles and center problem in a system that includes predator-prey systems and generalized Liénard equations
• On the uniqueness of limit cycles in a generalized Liénard system
• On the generalized Lienard equation with negative damping
• THE GENERALISED LIÉNARD EQUATIONS
• On the uniqueness and nonexistence of limit cycles for predator prey systems
• On the uniqueness of limit cycle for certain Liénard systems without symmetry
• Gauge invariance as the Lie-Backlund transformation group

This page was built for publication: An improved criterion for the unique existence of the limit cycle of a Liénard-type system with one parameter