Noise-driven Synchronization in Coupled Map Lattices

Details Noise-driven Synchronization in Coupled Map Lattices Noise-driven Synchronization in Coupled Map Lattices

1999-06-29

arxiv.org/abs/chao-dyn/9907005v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, Latex - 6 EPS Figs - Proceeding LSD 98 (Marseille)

Scientific paper

Synchronization is shown to occur in spatially extended systems under the effect of additive spatio-temporal noise. In analogy to low dimensional systems, synchronized states are observable only if the maximum Lyapunov exponent $\Lambda$ is negative. However, a sufficiently high noise level can lead, in map with finite domain of definition, to nonlinear propagation of information, even in non chaotic systems. In this latter case the transition to synchronization is ruled by a new ingredient : the propagation velocity of information $V_F$. As a general statement, we can affirm that if $V_F$ is finite the time needed to achieve a synchronized trajectory grows exponentially with the system size $L$, while it increases logarithmically with $L$ when, for sufficiently large noise amplitude, $V_F = 0$ .

Affiliated with

Also associated with

No associations

Rating

Noise-driven Synchronization in Coupled Map Lattices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Noise-driven Synchronization in Coupled Map Lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Noise-driven Synchronization in Coupled Map Lattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-422043