BIFURCATION CURVES OF LIMIT CYCLES IN SOME LIÉNARD SYSTEMS

DOI10.1142/S0218127400000694zbMath1090.34531arXivnlin/0205028MaRDI QIDQ5474090

Ricardo López-Ruiz, José Luis López

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0205028

zbMATH Keywords

Liénard systemsbifurcation curves of limit cycles

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (3)

Number and amplitude of limit cycles emerging from topologically equivalent perturbed centers. ⋮ Approximating the amplitude and form of limit cycles in the weakly nonlinear regime of Liénard systems ⋮ Asymptotic Expansion of the Heteroclinic Bifurcation for the Planar Normal Form of the 1:2 Resonance

Cites Work

• Existence of limit cycles for generalized Liénard equations
• The limit cycles of Liénard equations in the strongly nonlinear regime
• Algebraic approximations to bifurcation curves of limit cycles for the Liénard equation
• Finiteness theorems for limit cycles
• Liénard systems with several limit cycles

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