The period function of quadratic generalized Lotka-Volterra systems without complex invariant lines

DOI10.1016/j.jde.2022.01.028zbMath1500.34029OpenAlexW4206769529MaRDI QIDQ2074458

Shaoqing Wang, Teng Long, Changjian Liu

Publication date: 10 February 2022

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

Full work available at URL: https://doi.org/10.1016/j.jde.2022.01.028

zbMATH Keywords

monotonicityperiod functiongeneralized Lotka-Volterra systems

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)

Related Items (1)

Orbital stability of smooth solitary waves for the \(b\)-family of Camassa-Holm equations

Cites Work

• Geometric methods for two-point nonlinear boundary value problems
• Melnikov functions in quadratic perturbations of generalized Lotka-Volterra systems
• The period in the Lotka-Volterra system is monotonic
• The monotonicity of the period function for planar Hamiltonian vector fields
• Global bifurcation of steady-state solutions
• The period function of a Hamiltonian quadratic system
• Perturbations of quadratic centers
• Period function for a class of Hamiltonian systems
• A criticality result for polycycles in a family of quadratic reversible centers
• The monotonicity of period function for the codimension four quadratic system \(Q_4\).
• The period function of reversible Lotka-Volterra quadratic centers
• The period function of Hamiltonian systems with separable variables
• The period function of the generalized Lotka-Volterra centers
• The period function of reversible quadratic centers
• The periods of the Volterra-Lotka system.
• On the reversible quadratic centers with monotonic period function
• Global behaviour of solution branches for some Neumann problems depending on one or several parameters.
• Bifurcation of Critical Periods for Plane Vector Fields
• Local Bifurcations of Critical Periods in the Reduced Kukles System
• The bifurcation set of the period function of the dehomogenized Loud's centers is bounded

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