Dynamical Regularization in Scalefree-trees of Coupled 2D Chaotic Maps
Statistical Mechanics
2008-05-22 v1
Abstract
The dynamics of coupled 2D chaotic maps with time-delay on a scalefree-tree is studied, with different types of the collective behaviors already been reported for various values of coupling strength [1]. In this work we focus on the dynamics' time-evolution at the coupling strength of the stability threshold and examine the properties of the regularization process. The time-scales involved in the appearance of the regular state and the periodic state are determined. We find unexpected regularity in the the system's final steady state: all the period values turn out to be integer multiples of one among given numbers. Moreover, the period value distribution follows a power-law with a slope of -2.24.
Cite
@article{arxiv.0805.3311,
title = {Dynamical Regularization in Scalefree-trees of Coupled 2D Chaotic Maps},
author = {Zoran Levnajić},
journal= {arXiv preprint arXiv:0805.3311},
year = {2008}
}
Comments
Proceedings of ICCS 2008, Krakow, Poland