On Hopf cyclicity of planar systems with multiple parameters

DOI10.1016/j.aml.2004.08.003zbMath1089.34517OpenAlexW1970096222MaRDI QIDQ2484659

Jiong Sun, Wan Yi Wang, Mao'an Han

Publication date: 1 August 2005

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

Full work available at URL: https://doi.org/10.1016/j.aml.2004.08.003

zbMATH Keywords

Hopf bifurcationMelnikov functionLimit cycleCyclicity

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) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Cites Work

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• Cyclicity of a family of vector fields
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• The number of small-amplitude limit cycles of Liénard equations
• Small-amplitude limit cycles of certain Liénard systems
• Bifurcation of limit cycles and the cusp of ordern
• Bifurcation Theory and Methods of Dynamical Systems

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