On the period function in a class of generalized Lotka-Volterra systems

DOI10.1016/j.amc.2010.03.025zbMath1190.92053OpenAlexW1994506555MaRDI QIDQ979287

Jordi Villadelprat

Publication date: 25 June 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.025

zbMATH Keywords

centerLotka-Volterra modelperiod functioncritical period

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Cites Work

• Unnamed Item
• Darboux linearization and isochronous centers with a rational first integral
• Decomposition of algebraic sets and applications to weak centers of cubic systems
• Bifurcation of critical periods from the rigid quadratic isochronous vector field
• Unfolding of resonant saddles and the Dulac time
• Local bifurcations of critical periods for cubic Liénard equations with cubic damping
• The period in the Lotka-Volterra system is monotonic
• The monotonicity of the period function for planar Hamiltonian vector fields
• Investigations into a class of generalized two-dimensional Lotka-Volterra schemes
• Quadratic systems with center and their perturbations
• Weak centers and bifurcation of critical periods in reversible cubic systems
• Period function for a class of Hamiltonian systems
• Isochronicity for several classes of Hamiltonian systems
• First derivative of the period function with applications
• Local bifurcations of critical periods in a generalized 2D LV system
• 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
• Isochronous Centers in Planar Polynomial Systems
• The periods of the Volterra-Lotka system.
• Bifurcation of critical periods from Pleshkan's isochrones
• 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 Bifurcation of Critical Periods in Vector Fields With Homogeneous Nonlinearities of the Third Degree
• On the time function of the Dulac map for families of meromorphic vector fields
• The geometry of biological time.

This page was built for publication: On the period function in a class of generalized Lotka-Volterra systems