QUADRATIC PERTURBATIONS OF A CLASS OF QUADRATIC REVERSIBLE LOTKA–VOLTERRA SYSTEMS

DOI10.1142/S021812741350137XzbMath1275.34054OpenAlexW2162410364MaRDI QIDQ2864972

Yi Shao, A. Chunxiang

Publication date: 27 November 2013

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

Full work available at URL: https://doi.org/10.1142/s021812741350137x

zbMATH Keywords

limit cycleperiod annulusquadratic perturbations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Perturbations of ordinary differential equations (34D10) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Related Items (1)

Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems

Cites Work

• Quadratic perturbations of a quadratic reversible Lotka-Volterra system
• The cyclicity and period function of a class of quadratic reversible Lotka-Volterra system of genus one
• Perturbations of quadratic centers of genus one
• Quadratic systems with center and their perturbations
• Perturbations of quadratic centers
• A Chebyshev criterion for Abelian integrals
• The cyclicity of period annulus of a quadratic reversible Lotka–Volterra system
• THE GEOMETRY OF QUADRATIC DIFFERENTIAL SYSTEMS WITH A WEAK FOCUS OF SECOND ORDER

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