The cyclicity of period annulus of a quadratic reversible Lotka–Volterra system

DOI10.1088/0951-7715/22/12/009zbMath1193.34062OpenAlexW2081771277MaRDI QIDQ3652644

Chengzhi Li, Jaume Llibre

Publication date: 15 December 2009

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/22/12/009

zbMATH Keywords

limit cyclesperiod annulussmall quadratic perturbationcubic phase curvesReversible Lotka-Volterra system

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) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

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