Perturbations of May-Leonard system

DOI10.1016/j.bulsci.2014.05.003zbMath1312.34072OpenAlexW2028083003MaRDI QIDQ472544

Xiuli Cen, Yulin Zhao

Publication date: 19 November 2014

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2014.05.003

zbMATH Keywords

limit cycleChebyshev systemMelnikov functionHamiltonian systemMay-Leonard system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (2)

Limit Cycles for a Class of Zp-Equivariant Differential Systems ⋮ Revisiting limit cycles for 3-monomial differential equations

Cites Work

• Unnamed Item
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• Integrability and global dynamics of the May-Leonard model
• 3-dimensional Hopf bifurcation via averaging theory
• A Chebyshev criterion for Abelian integrals
• Bifurcation of critical periods from Pleshkan's isochrones
• Geometric Properties of Homogeneous Vector Fields of Degree Two in R 3
• Nonlinear Aspects of Competition Between Three Species
• Hopf bifurcations in competitive three-dimensional Lotka–Volterra systems
• On a Lotka-Volterra model which can be projected to a sphere
• Successive derivatives of a first return map, application to the study of quadratic vector fields

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