Mechanism of synchronization in a random dynamical system
Chaotic Dynamics
2016-09-07 v3
Abstract
The mechanism of synchronization in the random Zaslavsky map is investigated. From the error dynamics of two particles, the structure of phase space was analyzed, and a transcritical bifurcation between a saddle and a stable fixed point was found. We have verified the structure of on-off intermittency in terms of a biased random walk. Furthermore, for the generalized case of the ensemble of particles, \emph{a modified definition} of the size of a snapshot attractor was exploited to establish the link with a random walk. As a result, the structure of on-off intermittency in the ensemble of particles was explicitly revealed near the transition.
Cite
@article{arxiv.nlin/0104034,
title = {Mechanism of synchronization in a random dynamical system},
author = {Dong-Uk Hwang and Inbo Kim and Sunghwan Rim and Chil-Min Kim and Young-Jai Park},
journal= {arXiv preprint arXiv:nlin/0104034},
year = {2016}
}
Comments
9 pages, 7 figures, To appear in Phys. Rev. E