The period function of reversible Lotka-Volterra quadratic centers

DOI10.1016/j.jde.2021.10.060zbMath1492.34032OpenAlexW3215097896MaRDI QIDQ2051757

Jinming Li, Dechen Wang, Changjian Liu, Chengzhi Li

Publication date: 25 November 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2021.10.060

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (2)

Orbital stability of smooth solitary waves for the \(b\)-family of Camassa-Holm equations ⋮ The period function of quadratic generalized Lotka-Volterra systems without complex invariant lines

Cites Work

• Bifurcation of local critical periods in the generalized Loud's system
• The period function for quadratic integrable systems with cubic orbits
• The criticality of centers of potential systems at the outer boundary
• Criteria to bound the number of critical periods
• A remark on the period of the periodic solution in the Lotka-Volterra system
• The period in the Lotka-Volterra system is monotonic
• The period function of a Hamiltonian quadratic system
• Perturbations of quadratic centers
• A criticality result for polycycles in a family of quadratic reversible centers
• The monotonicity of period function for the codimension four quadratic system \(Q_4\).
• Analytic tools to bound the criticality at the outer boundary of the period annulus
• The period function of the generalized Lotka-Volterra centers
• The period function of reversible quadratic centers
• On the monotonicity of the period function of a quadratic system
• The periods of the Volterra-Lotka system.
• On the reversible quadratic centers with monotonic period function
• A Quadratic System with a Nonmonotonic Period Function
• Bifurcation of Critical Periods for Plane Vector Fields
• The bifurcation set of the period function of the dehomogenized Loud's centers is bounded

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