- 99-98 R. Carretero-Gonz\'alez, D.K. Arrowsmith and F. Vivaldi
- Mode-locking in Coupled Map Lattices
(205K, 14 pages, RevTeX, 2 Postscript files containing 10 figures)
Apr 2, 99
-
Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers
-
Abstract. We study propagation of pulses along one-way {\cmls},
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.
- Files:
99-98.src(
99-98.keywords ,
modloc.zip.mm )