From synchronization to multistability in two coupled quadratic maps
Chaotic Dynamics
2009-10-31 v1
Abstract
The phenomenology of a system of two coupled quadratic maps is studied both analytically and numerically. Conditions for synchronization are given and the bifurcations of periodic orbits from this regime are identified. In addition, we show that an arbitrarily large number of distinct stable periodic orbits may be obtained when the maps parameter is at the Feigenbaum period-doubling accumulation point. An estimate is given for the coupling strength needed to obtain any given number of stable orbits.
Cite
@article{arxiv.nlin/0005053,
title = {From synchronization to multistability in two coupled quadratic maps},
author = {Rui Carvalho and Bastien Fernandez and R. Vilela Mendes},
journal= {arXiv preprint arXiv:nlin/0005053},
year = {2009}
}
Comments
13 pages Latex, 9 figures