Nonlinear Sciences – Adaptation and Self-Organizing Systems
Scientific paper
1998-01-09
Physica D 103 (1997) 381-403
Nonlinear Sciences
Adaptation and Self-Organizing Systems
11 TeX pages + 2 PostScript pages with 10 figures
Scientific paper
10.1016/S0167-2789(96)00271-0
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.
Arrowsmith David K.
Carretero-González Ricardo
Vivaldi Franco
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