Collapse of spatiotemporal chaos.
The transient nature of spatiotemporal chaos is examined in reaction-diffusion systems with coexisting stable states. We find the apparent asymptotic spatiotemporal chaos of the Gray-Scott system to be transient, with the average transient lifetime increasing exponentially with medium size. The collapse of spatiotemporal chaos arises when statistical spatial correlations produce a quasihomogeneous medium, and the system obeys its zero-dimensional dynamics to relax to its stable asymptotic state.
Wackerbauer
Renate
R
Department of Physics, University of Alaska, Fairbanks, AK 99775-5920, USA.
Showalter
Kenneth
K