A New Feature in Some Quasi-discontinuous Systems
chao-dyn
2015-06-24 v1 Chaotic Dynamics
Abstract
Many systems can display a very short, rapid changing stage (quasi-discontinuous region) inside a relatively very long and slowly changing process. A quantitative definition for the "quasi-discontinuity" in these systems has been introduced. We have shown by a simplified model that extra-large Feigenbaum constants can be found inside some period-doubling cascades due to the quasi-discontinuity. As an example, this phenomenon has also been observed in Rose-Hindmash model describing neuron activities.
Keywords
Cite
@article{arxiv.chao-dyn/9912001,
title = {A New Feature in Some Quasi-discontinuous Systems},
author = {Shunguang Wu and Da-Ren He},
journal= {arXiv preprint arXiv:chao-dyn/9912001},
year = {2015}
}
Comments
4 pages, Revtex, with 4 eps figures