Quadratic perturbations of a quadratic reversible Lotka-Volterra system with two centers

DOI10.3934/dcds.2014.34.4807zbMath1308.34049OpenAlexW2318036813MaRDI QIDQ476586

Changjian Liu, Linping Peng, Zhao-sheng Feng

Publication date: 2 December 2014

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2014.34.4807

zbMATH Keywords

limit cyclesbifurcationHamiltonian systemcyclicityreversible systemquadratic perturbationperiod annulus

Mathematics Subject Classification ID

Related Items (5)

Bounding the number of limit cycles for parametric Liénard systems using symbolic computation methods ⋮ Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems ⋮ Quadratic double centers and their perturbations ⋮ Bi-center problem and Hopf cyclicity of a cubic Liénard system ⋮ Bifurcation of Limit Cycles from a Quintic Center via the Second Order Averaging Method

Cites Work

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• A Chebyshev criterion for Abelian integrals
• Algebraic Particular Integrals, Integrability and the Problem of the Center
• The cyclicity of period annulus of a quadratic reversible Lotka–Volterra system
• On the Number of Limit Cycles in Perturbations of Quadratic Hamiltonian Systems
• Bifurcations of Limit Cycles From Infinity in Quadratic Systems
• Successive derivatives of a first return map, application to the study of quadratic vector fields
• A restricted version of the Hilbert's 16th problem for quadratic vector fields
• The infinitesimal 16th Hilbert problem in the quadratic case

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