Hopf Bifurcations in Delayed Rock-Paper-Scissors Replicator Dynamics
نویسندگان
چکیده
We investigate the dynamics of three-strategy (rock–paper–scissors) replicator equations in which the fitness of each strategy is a function of the population frequencies delayed by a time interval T . Taking T as a bifurcation parameter, we demonstrate the existence of (non-degenerate) Hopf bifurcations in these systems and present an analysis of the resulting limit cycles using Lindstedt’s method.
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ورودعنوان ژورنال:
- Dynamic Games and Applications
دوره 6 شماره
صفحات -
تاریخ انتشار 2016