Automatic search for multiple limit cycles in three-dimensional Lotka-Volterra competitive systems with classes 30 and 31 in Zeeman's classification

DOI10.1016/J.JMAA.2008.06.040zbMath1161.34306OpenAlexW1987259557MaRDI QIDQ947538

Xinze Lian, Zhengyi Lu, Yong Luo

Publication date: 6 October 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.06.040

zbMATH Keywords

limit cycleHopf bifurcationcenter manifoldLotka-Volterra system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theoretical approximation of solutions to ordinary differential equations (34A45) Population dynamics (general) (92D25)

Related Items (3)

On the first Lyapunov coefficient formula of 3D Lotka-Volterra equations with applications to multiplicity of limit cycles ⋮ Bifurcation of limit cycles for 3D Lotka-Volterra competitive systems ⋮ Bifurcation Analysis in an n-Dimensional Diffusive Competitive Lotka–Volterra System with Time Delay

Cites Work

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• Three limit cycles for a three-dimensional Lotka-Volterra competitive system with a heteroclinic cycle
• A 3D competitive Lotka-Volterra system with three limit cycles: a falsification of a conjecture by Hofbauer and So
• Applications of centre manifold theory
• Multiple limit cycles for three dimensional Lotka-Volterra equations
• Two limit cycles in three-dimensional Lotka-Volterra systems
• Systems of differential equations which are competitive or cooperative: III. Competing species
• On $\omega $-Limits for Competition Between Three Species
• On the occurrence of limit cycles in the Volterra-Lotka equation
• Nonlinear Aspects of Competition Between Three Species
• Asymptotic Behaviors in the Dynamics of Competing Species
• Hopf bifurcations in competitive three-dimensional Lotka–Volterra systems
• Three-Dimensional Competitive Lotka--Volterra Systems with no Periodic Orbits
• Evolutionary Games and Population Dynamics

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