LIMIT CYCLES IN 3D LOTKA–VOLTERRA SYSTEMS APPEARING AFTER PERTURBATION OF HOPF CENTER

DOI10.1142/S0218127408022615zbMath1165.34346OpenAlexW1995203047MaRDI QIDQ5322599

P. Sławiński, Ł. J. Gołaszewski, Henryk Żołądek

Publication date: 21 July 2009

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127408022615

zbMATH Keywords

limit cyclesHopf bifurcationLotka--Volterra system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Bifurcations of singular points in dynamical systems (37G10) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (3)

Invariant torus in 3D Lotka-Volterra systems appearing after perturbation of Hopf center ⋮ On the dynamics of a class of Kolmogorov systems ⋮ INVARIANT TORUS IN 3D LOTKA–VOLTERRA SYSTEMS: THE NONDEGENERACY CONDITION

Cites Work

• Asymptotic analysis of interactions between highly conducting cylinders
• Limit cycles for the competitive three dimensional Lotka-Volterra system
• Full characterization of a strange attractor. Chaotic dynamics in low- dimensional replicator systems
• Systems of differential equations which are competitive or cooperative: III. Competing species
• Evolutionary game dynamics
• From local to global behavior in competitive Lotka-Volterra systems
• The three-dimensional generalized Lotka–Volterra systems

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