Nonlinear Sciences – Chaotic Dynamics
Scientific paper
1993-07-22
Nonlinear Sciences
Chaotic Dynamics
14 pages including 3 figures (Postscript files separate from the main text), uses equations.sty and aip.sty macros. Submitted
Scientific paper
We consider spatiotemporal chaotic systems for which spatial correlation functions decay substantially over a length scale xi (the spatial correlation length) that is small compared to the system size L. Numerical simulations suggest that such systems generally will be extensive, with the fractal dimension D growing in proportion to the system volume for sufficiently large systems (L >> xi). Intuitively, extensive chaos arises because of spatial disorder. Subsystems that are sufficiently separated in space should be uncorrelated and so contribute to the fractal dimension in proportion to their number. We report here the first numerical calculation that examines quantitatively how one important characterization of extensive chaos---the Lyapunov dimension density---depends on spatial disorder, as measured by the spatial correlation length xi. Surprisingly, we find that a representative extensively chaotic system does not act dynamically as many weakly interacting regions of size xi.
Egolf David A.
Greenside Henry S.
No associations
LandOfFree
Dependence of extensive chaos on the spatial correlation length (substantial revision) 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 Dependence of extensive chaos on the spatial correlation length (substantial revision), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dependence of extensive chaos on the spatial correlation length (substantial revision) will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-530087