On the uniqueness of the periodic solutions of certain Liénard equations

DOI10.1016/0362-546X(87)90044-7zbMath0643.34052MaRDI QIDQ3785200

Gabriele Villari, Felix Albrecht

Publication date: 1987

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

zbMATH Keywords

Liénard equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Ordinary differential equations and systems on manifolds (34C40) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (2)

On the existence and uniqueness of periodic solutions for Liénard-type equations ⋮ Cubic Lienard equation with quadratic damping. I

Cites Work

• Some criteria for presence and absence of limit cycles in dynamical systems of the second order
• A general equation for relaxation oscillations
• The number of small-amplitude limit cycles of Liénard equations
• On the existence of N periodic solutions of Liénard's equation
• On certain relaxation oscillations: Confining regions
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