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Hopf Bifurcations in Two-Player Delayed Replicator Dynamics
Hopf Bifurcations Two-Player Delayed Replicator Dynamics
2015/8/26
We investigate the dynamics of two-strategy replicator equa-tions in which competition between strategies is delayed by a given time interval T. Taking T as a bifurcation parameter, we demonstrate the...
Hopf Bifurcations in Delayed Rock–Paper–Scissors Replicator Dynamics
Replicator Delay Hopf bifurcation Limit cycle Lindstedt
2015/8/26
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....
Hopf Bifurcations in Two-Strategy Delayed Replicator Dynamics
Replicator Delay Hopf bifurcation Limit cycle Lindstedt
2015/8/26
We investigate the dynamics of two-strategy replicator equations in which the fitness of each strategy is a function of the population frequencies delayed by a time interval T. We analyze two models: ...
COMPUTING HOPF BIFURCATIONS II: THREE EXAMPLES FROM NEUROPHYSIOLOGY
Hopf bifurcation resultant bialternate product neuron model
2015/8/25
In a previous paper [11] we presented algorithms for detecting Hopf bifurcations in
two-parameter families of vector elds based on classical algebraic constructions. In addition to their
utility as...
Our concern is the study of degenerate Hopf bifurcation of smooth planar dynamical systems near isolated singular points. To do so, we propose to split up the definition of degeneracy into two types. ...