Self-organized Periodic Lattices of Chaotic Defects
chao-dyn
2009-10-22 v1 adap-org
Adaptation and Self-Organizing Systems
Chaotic Dynamics
Abstract
A novel type of self-organized lattice in which chaotic defects are arranged periodically is reported for a coupled map model of open flow. We find that temporally chaotic defects are followed by spatial relaxation to an almost periodic state when suddenly a next defect appears. The distance between successive defects is found to be generally predetermined and diverging logarithmically when approaching a certain critical point. The phenomena are analyzed and shown to be explicable as the results of a boundary crisis for the spatially extended system.
Keywords
Cite
@article{arxiv.chao-dyn/9405007,
title = {Self-organized Periodic Lattices of Chaotic Defects},
author = {Frederick H. Willeboordse and Kunihiko Kaneko},
journal= {arXiv preprint arXiv:chao-dyn/9405007},
year = {2009}
}
Comments
4 pages; single compressed and uuencoded Postscript file which includes the 8 figures