Universality in Globally Coupled Maps and Flows
Chaotic Dynamics
2009-09-29 v1 Pattern Formation and Solitons
Abstract
We show that universality in chaotic elements can be lifted to that in complex systems. We construct a globally coupled Flow lattice (GCFL), an analog of a globally coupled Map lattice (GCML). We find that Duffing GCFL shows the same behavior with GCML; population ratio between synchronizing clusters acts as a bifurcation parameter. Lorenz GCFL exhibits interesting two quasi-clusters in an opposite phase motion. Each of them looks like Will o' the wisp; they dance around in opposite phase.
Cite
@article{arxiv.0803.3589,
title = {Universality in Globally Coupled Maps and Flows},
author = {Tokuzo Shimada and Takanobu Moriya and Hayato Fujigaki},
journal= {arXiv preprint arXiv:0803.3589},
year = {2009}
}
Comments
submitted to 13th Int. Conf. on Artificial Robotics and Intelligence, Ohita, Japan