TY - JOUR
T1 - Chaotic behavior of three competing species of May-Leonard model under small periodic perturbations
AU - Afraimovich, Valentin S.
AU - Hsu, Sze Bi
AU - Lin, Huey Er
N1 - Funding Information:
∗The work was done while the rst author visited National Center of Theoretical Science, Hsinchu, Taiwan in April 1999. yPartially supported by National Council of Science, R.O.C.
PY - 2001/2
Y1 - 2001/2
N2 - The influence of periodic perturbations to a Lotka-Volterra system, modeling a competition between three species, is studied, provided that in the unperturbed case the system has a unique attractor - a contour of heteroclinic orbits joining unstable equilibria. It is shown that the perturbed system may manifest regular behavior corresponding to the existence of a smooth invariant torus, and, as well, may have chaotic regimes depending on some parameters. Theoretical results are confirmed by numerical simulations.
AB - The influence of periodic perturbations to a Lotka-Volterra system, modeling a competition between three species, is studied, provided that in the unperturbed case the system has a unique attractor - a contour of heteroclinic orbits joining unstable equilibria. It is shown that the perturbed system may manifest regular behavior corresponding to the existence of a smooth invariant torus, and, as well, may have chaotic regimes depending on some parameters. Theoretical results are confirmed by numerical simulations.
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U2 - 10.1142/S021812740100216X
DO - 10.1142/S021812740100216X
M3 - Article
AN - SCOPUS:0035609051
SN - 0218-1274
VL - 11
SP - 435
EP - 447
JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
IS - 2
ER -