Uniqueness of limit cycles in liénard-type equations

DOI10.1016/0362-546X(90)90141-3zbMath0705.34038OpenAlexW2053653198MaRDI QIDQ3485215

Yang Kuang, Herb I. Freedman

Publication date: 1990

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(90)90141-3

zbMATH Keywords

existenceuniquenesslimit cyclesLiénard equationGauss-type predator-prey modelLiénard-type predator-prey model

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 (10)

Qualitative analysis of the phase portrait for a class of planar vector fields via the comparison method ⋮ On uniqueness of limit cycle for the equation \(\ddot x+f(x){\phi}(\dot x)\dot x+g(x)=0\) ⋮ Almost periodic solutions of forced Liénard-type equations with time delays. ⋮ Boundedness and convergence of solutions of a second-order nonlinear differential system ⋮ Periodic solutions of forced Liénard-type equations ⋮ Existence and uniqueness of periodic solutions for a class of generalized Liénard systems with forcing term ⋮ On the existence and uniqueness of periodic solutions for Liénard-type equations ⋮ Existence and uniqueness of periodic solutions for forced Liénard-type equations ⋮ Cubic Lienard equation with quadratic damping. I ⋮ Limit cycles in a general two-stroke oscillation

Cites Work

• Uniqueness of limit cycles in Gause-type models of predator-prey systems
• Global stability of Gause-type predator-prey systems
• Proof of the uniqueness theorem of limit cycles of generalized liénard equations
• Nonuniqueness of limit cycles of gause-type predator-prey systems
• On the Uniqueness of a Limit Cycle for a Predator-Prey System
• Periodic Solutions of a Nonlinear Second Order Differential Equation
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