Bifurcations of homoclinic orbits in bimodal maps
chao-dyn
2009-10-22 v2 Chaotic Dynamics
Abstract
We discuss the bifurcation structure of homoclinic orbits in bimodal one dimensional maps. The universal structure of these bifurcations with singular bifurcation points and the web of bifurcation lines through the parameter space are described. The bifurcations depend on two parameters (codimension 2 bifurcations). We find the bifurcation lines exactly in a symbolic dynamics parameter plane and numerically in the parameter planes of a polynomial map and a piecewise linear map.
Keywords
Cite
@article{arxiv.chao-dyn/9410010,
title = {Bifurcations of homoclinic orbits in bimodal maps},
author = {Kai T. Hansen},
journal= {arXiv preprint arXiv:chao-dyn/9410010},
year = {2009}
}
Comments
11 pages, uuencoded compressed PostScript