Transient spatiotemporal chaos is extensive in three reaction-diffusion networks.
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.
Stahlke
Dan
D
Department of Physics, University of Alaska, Fairbanks, Alaska 99775-5920, USA. dstahlke@gmail.com
Wackerbauer
Renate
R
D000465:Algorithms; D003201:Computers; D004058:Diffusion; D015233:Models, Statistical; D017711:Nonlinear Dynamics; D010825:Physics / Q000379:methods*; D012666:Semiconductors; D013997:Time Factors