Universal bifurcation property of two- or higher-dimensional dissipative systems in parameter space: Why does 1D symbolic dynamics work so well?
chao-dyn
2016-08-31 v1 Chaotic Dynamics
Abstract
The universal bifurcation property of the H\'enon map in parameter space is studied with symbolic dynamics. The universal- region is defined to characterize the bifurcation universality. It is found that the universal- region for relative small is not restricted to very small values. These results show that it is also a universal phenomenon that universal sequences with short period can be found in many nonlinear dissipative systems.
Keywords
Cite
@article{arxiv.chao-dyn/9506001,
title = {Universal bifurcation property of two- or higher-dimensional dissipative systems in parameter space: Why does 1D symbolic dynamics work so well?},
author = {H. P. Fang},
journal= {arXiv preprint arXiv:chao-dyn/9506001},
year = {2016}
}
Comments
10 pages, figures can be obtained from the author, will appeared in J. Phys. A