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Conservative homoclinic bifurcations and some applications
conservative dynamics homoclinic bifurcations Newhouse phenomena persistent tangencies Hausdorff dimension standard map three body problem Sitnikov problem
2015/9/25
We study generic unfoldings of homoclinic tangencies of two dimensional area preserving diffeomorphisms (conservative Newhouse phenomena) and show that they give rise to invariant hyperbolic sets of a...
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....
On riddled sets and bifurcations of chaotic attractors
Riddling basins coupled maps blow out bifurcations
2010/9/15
Coupled systems provide us examples of blowout bifurcations and these maps have parameter values at which there are attractors which are a filled-in quadrilateral and, simultaneously, the synchronized...
Analyses of Bifurcations and Stability in a Predator-prey System
Predator-prey system Limit cycle Bogdanov-Takens bifurcation
2007/12/11
In this paper the dynamical behaviors of apredator-prey system with Holling Type-IV functional response are investigated in detail by using the analyses of qualitative method, bifurcation theory,...