Mode-locking in coupled map lattices
chao-dyn
2009-10-31 v1 adap-org
适应与自组织系统
混沌动力学
斑图形成与孤子
patt-sol
摘要
We study propagation of pulses along one-way coupled map lattices, which originate from the transition between two superstable states of the local map. The velocity of the pulses exhibits a staircase-like behaviour as the coupling parameter is varied. For a piece-wise linear local map, we prove that the velocity of the wave has a Devil's staircase dependence on the coupling parameter. A wave travelling with rational velocity is found to be stable to parametric perturbations in a manner akin to rational mode-locking for circle maps. We provide evidence that mode-locking is also present for a broader range of maps and couplings.
引用
@article{arxiv.chao-dyn/9801010,
title = {Mode-locking in coupled map lattices},
author = {R. Carretero-González and D. K. Arrowsmith and F. Vivaldi},
journal= {arXiv preprint arXiv:chao-dyn/9801010},
year = {2009}
}
备注
11 TeX pages + 2 PostScript pages with 10 figures