Generalized quadratic Liénard equations

DOI10.1016/S0893-9659(98)00025-1zbMath0933.34024MaRDI QIDQ1808905

Yanyan Li

Publication date: 25 November 1999

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

zbMATH Keywords

Lyapunov quantitiesgeneralized quadratic Liénard equations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Characteristic and Lyapunov exponents of ordinary differential equations (34D08)

Related Items (6)

Limit cycles of generalized Liénard polynomial differential systems via averaging theory ⋮ Small-amplitude limit cycles in Liénard systems via multiplicity ⋮ Limit cycles of the generalized polynomial Liénard differential equations ⋮ An estimation for the number of limit cycles in a Liénard-like perturbation of a quadratic nonlinear center ⋮ Generalized cubic Liénard equations ⋮ ON THE MAXIMUM NUMBER OF LIMIT CYCLES OF A CLASS OF GENERALIZED LIÉNARD DIFFERENTIAL SYSTEMS

Cites Work

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• A note on ``Uniqueness of limit cycles in a Liénard-type system
• More results on the bifurcation of limit cycles for systems of Liénard type
• Limit cycles of generalized Liénard equations
• On the uniqueness of limit cycles surrounding one or more singularities for Liénard equations
• Small-amplitude limit cycle bifurcations for Liénard systems with quadratic or cubic damping or restoring forces
• On the Uniqueness of the Limit Cycle of the Generalized Liénard Equation
• Qualitative properties of two-dimensional predator-prey systems
• Algorithmic Derivation of Centre Conditions

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