Vano, J. A.; Wildenberg, J. C.; Anderson, M. B.; Noel, J. K.; Sprott, J. C. Chaos in low-dimensional Lotka-Volterra models of competition. (English) Zbl 1107.92058 Nonlinearity 19, No. 10, 2391-2404 (2006). Summary: The occurrence of chaos in basic Lotka-Volterra models of four competing species is studied. A brute-force numerical search conditioned on the largest Lyapunov exponent (LE) indicates that chaos occurs in a narrow region of the parameter space but is robust to perturbations. The dynamics of the attractor for a maximally chaotic case are studied using symbolic dynamics, and the question of self-organized critical behaviour (scale-invariance) of the solution is considered. Cited in 35 Documents MSC: 92D40 Ecology 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior 37B10 Symbolic dynamics 37N25 Dynamical systems in biology Keywords:homoclinic orbits; bifurcations PDFBibTeX XMLCite \textit{J. A. Vano} et al., Nonlinearity 19, No. 10, 2391--2404 (2006; Zbl 1107.92058) Full Text: DOI