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• W1977778859 abstract "We investigate the nonlinear dynamics of a system of populations competing for the same limited resource for the case where each of the populations adapts its growth rate to the total number of individuals in all populations. We consider regions of parameter space where chaotic motion of the Shilnikov kind exists and present results for two characteristic values of the growth ratio adaptation factor r*: r* = -0.15 and 5. Negative r* can lead to vanishing of regions of chaotic motion and to a stabilization of a fixed point of the studied model system of differential equations. Positive r* lead to changes of the shape of the bifurcation diagrams in comparison with the bifurcation diagrams for the case without adaptation. For the case r* = 5 we observe transition to chaos by period-doubling bifurcations, windows of periodic motion between the regions of chaotic motion and a region of transient chaos after the last window of periodic motion. The Lyapunov dimension for the chaotic attractors is close to two and the Lyapunov spectrum has a structure which allows a topological analysis of the attractors of the investigated system." @default.
• W1977778859 created "2016-06-24" @default.
• W1977778859 creator A5009076375 @default.
• W1977778859 creator A5060521011 @default.
• W1977778859 date "2001-09-10" @default.
• W1977778859 modified "2023-10-03" @default.
• W1977778859 title "Dynamical consequences of adaptation of the growth rates in a system of three competing populations" @default.
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• W1977778859 doi "https://doi.org/10.1088/0305-4470/34/37/303" @default.
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