期刊
PHYSICAL REVIEW E
卷 83, 期 4, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.83.046204
关键词
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资金
- National Science Foundation [PHY-0653086]
- Arctic Region Supercomputing Center at the University of Alaska Fairbanks
- Department of Defense High Performance Computing Modernization
- Office of Advanced Cyberinfrastructure (OAC)
- Direct For Computer & Info Scie & Enginr [0960175] Funding Source: National Science Foundation
- Office Of The Director
- EPSCoR [0919608] Funding Source: National Science Foundation
Extensive systems have no long scale correlations and behave as a sum of their parts. Various techniques are introduced to determine a characteristic length scale of interaction beyond which spatiotemporal chaos is extensive in reaction-diffusion networks. Information about network size, boundary condition, or abnormalities in network topology gets scrambled in spatiotemporal chaos, and the attenuation of information provides such characteristic length scales. Space-time information flow associated with the recovery of spatiotemporal chaos from finite perturbations, a concept somewhat opposite to the paradigm of Lyapunov exponents, defines another characteristic length scale. High-precision computational studies of asymptotic spatiotemporal chaos in the complex Ginzburg-Landau system and transient spatiotemporal chaos in the Gray-Scott network show that these different length scales are comparable and thus suitable to define a length scale of interaction. Preliminary studies demonstrate the relevance of these length scales for stable chaos.
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