Bifurcation of Limit Cycles from the Center of a Family of Cubic Polynomial Vector Fields

DOI10.1142/S0218127418500633zbMath1392.34030OpenAlexW2807416005WikidataQ129800467 ScholiaQ129800467MaRDI QIDQ4566440

Shiyou Sui, Lincheng Zhao

Publication date: 15 June 2018

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

Full work available at URL: https://doi.org/10.1142/s0218127418500633

zbMATH Keywords

bifurcationlimit cycleabelian integral

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) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Related Items (7)

Maximum number of limit cycles bifurcating from the period annulus of cubic polynomial systems ⋮ Limit cycle bifurcations of a planar near-integrable system with two small parameters ⋮ The Number of Limit Cycles for a Class of Cubic Systems with Multiple Parameters ⋮ Hopf bifurcation of limit cycles by perturbing piecewise integrable systems ⋮ Bifurcation of limit cycles in a family of piecewise smooth systems via averaging theory ⋮ Cyclicity of a Class of Hamiltonian Systems under Perturbations of Piecewise Smooth Polynomials ⋮ FURTHER STUDIES ON LIMIT CYCLE BIFURCATIONS FOR PIECEWISE SMOOTH NEAR-HAMILTONIAN SYSTEMS WITH MULTIPLE PARAMETERS<inline-formula><tex-math id="M1">$ ^* $</tex-math></inline-formula>

Cites Work

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