Chaos in perturbed Lotka-Volterra systems

DOI10.1017/S1446181100012025zbMath0977.34039MaRDI QIDQ2711364

J. R. Christie, Ji-Bin Li, Kondalsamy Gopalsamy

Publication date: 3 July 2001

Published in: The ANZIAM Journal (Search for Journal in Brave)

zbMATH Keywords

Lotka-Volterra systemschaotic behaviourtime-periodically perturbationtransverse heteroclinic cycle

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Perturbations of ordinary differential equations (34D10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Complex behavior and chaotic systems of ordinary differential equations (34C28)

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Analytical investigation of the chaotic dynamics of a two-dimensional Lotka-Volterra system with a seasonality factor ⋮ Qualitative geometric analysis of traveling wave solutions of the modified equal width Burgers equation

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