The cyclicity and period function of a class of quadratic reversible Lotka-Volterra system of genus one

DOI10.1016/j.jmaa.2010.11.048zbMath1219.34044OpenAlexW2000823952MaRDI QIDQ629239

Yi Shao, Yulin Zhao

Publication date: 8 March 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.11.048

zbMATH Keywords

limit cycleAbelian integralcyclicityperiod functionquadratic center

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

The cyclicity of quadratic reversible systems with a center of genus one and non-Morsean point ⋮ Perturbed rigidly isochronous centers and their critical periods ⋮ Limit cycles bifurcated from a class of quadratic reversible center of genus one ⋮ Limit cycles bifurcating from a quadratic reversible Lotka-Volterra system with a center and three saddles ⋮ Quadratic perturbations of a quadratic reversible Lotka-Volterra system with two centers ⋮ Limit cycle bifurcations by perturbing a class of integrable systems with a polycycle ⋮ The Number of Limit Cycles Bifurcating from a Quadratic Reversible Center ⋮ The cyclicity of period annuli for a class of cubic Hamiltonian systems with nilpotent singular points ⋮ Estimating the Number of Zeros for Abelian Integrals of Quadratic Reversible Centers with Orbits Formed by Higher-Order Curves ⋮ Abelian integrals and limit cycles ⋮ CYCLICITY OF PERIOD ANNULUS OF A QUADRATIC REVERSIBLE SYSTEM WITH DEGENERATE CRITICAL POINT ⋮ QUADRATIC PERTURBATIONS OF A CLASS OF QUADRATIC REVERSIBLE LOTKA–VOLTERRA SYSTEMS

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