期刊
PHYSICAL REVIEW E
卷 80, 期 5, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.80.056211
关键词
bifurcation; chaos; Lyapunov methods; reaction-diffusion systems; spatiotemporal phenomena
资金
- National Science Foundation [PHY-0653086]
- Arctic Region Supercomputing Center at the University of Alaska Fairbanks
Extensive (asymptotic) spatiotemporal chaos is comprised of statistically similar subsystems that interact only weakly. A systematic study of transient spatiotemporal chaos reveals extensive system behavior in all three reaction-diffusion networks for various boundary conditions. The Lyapunov dimension, the sum of positive Lyapunov exponents, and the logarithm of the transient lifetime grow linearly with the system size. The unstable manifold of the chaotic saddle has nearly the same dimension as the saddle itself, and the stable manifold is nearly space filling.
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