Mode-locking in coupled map lattices

被引:14
作者
CarreteroGonzalez, R
Arrowsmith, DK
Vivaldi, F
机构
[1] School of Mathematical Sciences, Queen Mary and Westfield College, London E1 4NS, Mile End Road
关键词
coupled map lattices; travelling waves; mode-locking; symbolic dynamics;
D O I
10.1016/S0167-2789(96)00271-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
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 piecewise 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
收藏
页码:381 / 403
页数:23
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