Heteroclinic Chaos, Chaotic Itinerancy and Neutral Attractors in Symmetrical Replicator Equations with Mutations
Chaotic Dynamics
2009-10-31 v2
Abstract
A replicator equation with mutation processes is numerically studied. Without any mutations, two characteristics of the replicator dynamics are known: an exponential divergence of the dominance period, and hierarchical orderings of the attractors. A mutation introduces some new aspects: the emergence of structurally stable attractors, and chaotic itinerant behavior. In addition, it is reported that a neutral attractor can exist in the mutataion rate -> +0 region.
Keywords
Cite
@article{arxiv.nlin/0005036,
title = {Heteroclinic Chaos, Chaotic Itinerancy and Neutral Attractors in Symmetrical Replicator Equations with Mutations},
author = {K. Hashimoto and T. Ikegami},
journal= {arXiv preprint arXiv:nlin/0005036},
year = {2009}
}
Comments
4 pages, 9 figures