LIMIT CYCLE BIFURCATIONS OF TWO KINDS OF POLYNOMIAL DIFFERENTIAL SYSTEMS

DOI10.1142/S021812741103057XzbMath1258.34063OpenAlexW2007642800MaRDI QIDQ4908434

Peipei Zuo, Mao'an Han

Publication date: 5 March 2013

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

Full work available at URL: https://doi.org/10.1142/s021812741103057x

zbMATH Keywords

bifurcationlimit cycleMelnikov function

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)

Cites Work

• Global bifurcation of limit cycles in a family of polynomial systems
• The number of limit cycles of a quintic polynomial system with center
• The number of limit cycles of a quintic polynomial system
• On Hopf cyclicity of planar systems
• Limit cycles of a perturbed cubic polynomial differential center
• On the nonexistence, existence and uniqueness of limit cycles
• Averaging analysis of a perturbated quadratic center

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