Uniqueness and hyperbolicity of limit cycles for autonomous planar systems with zero diagonal coefficient

DOI10.1016/j.aml.2016.11.004zbMath1390.34079OpenAlexW2554316119MaRDI QIDQ511531

Ping Yan, Zhang Daoxiang

Publication date: 21 February 2017

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.11.004

zbMATH Keywords

uniquenesslimit cyclehyperbolicityautonomous planar systemsexponential asymptoticitygeneralized Liénard system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20)

Related Items (1)

On the uniqueness of limit cycles in a generalized Liénard system

Cites Work

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• Oscillation theorems for the generalized Liénard system
• The qualitative behavior of a second-order system with zero diagonal coefficient.
• Property \((X^+)\) for a second-order nonlinear differential equation of generalized Euler type
• Sopra l'equazione di A. Lienard delle oscillazioni di rilassamento
• On Global Asymptotic Stability of Second Order Nonlinear Differential Systems

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