250 research outputs found
Spatiotemporal intermittency and scaling laws in the coupled sine circle map lattice
We study spatio-temporal intermittency (STI) in a system of coupled sine
circle maps. The phase diagram of the system shows parameter regimes with STI
of both the directed percolation (DP) and non-DP class. STI with synchronized
laminar behaviour belongs to the DP class. The regimes of non-DP behaviour show
spatial intermittency (SI), where the temporal behaviour of both the laminar
and burst regions is regular, and the distribution of laminar lengths scales as
a power law. The regular temporal behaviour for the bursts seen in these
regimes of spatial intermittency can be periodic or quasi-periodic, but the
laminar length distributions scale with the same power-law, which is distinct
from the DP case. STI with traveling wave (TW) laminar states also appears in
the phase diagram. Soliton-like structures appear in this regime. These are
responsible for cross-overs with accompanying non-universal exponents. The
soliton lifetime distributions show power law scaling in regimes of long
average soliton life-times, but peak at characteristic scales with a power-law
tail in regimes of short average soliton life-times. The signatures of each
type of intermittent behaviour can be found in the dynamical characterisers of
the system viz. the eigenvalues of the stability matrix. We discuss the
implications of our results for behaviour seen in other systems which exhibit
spatio-temporal intermittency.Comment: 25 pages, 11 figures. Submitted to Phys. Rev.
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