Collapse of Spatiotemporal Chaos
Abstract
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.
- Publication:
-
Physical Review Letters
- Pub Date:
- October 2003
- DOI:
- 10.1103/PhysRevLett.91.174103
- Bibcode:
- 2003PhRvL..91q4103W
- Keywords:
-
- 05.45.Jn;
- 05.45.Pq;
- 82.40.Bj;
- 89.75.Fb;
- High-dimensional chaos;
- Numerical simulations of chaotic systems;
- Oscillations chaos and bifurcations;
- Structures and organization in complex systems