Document Type
Article
Publication Date
2003
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.
Digital Commons Citation
Wackerbauer, Renate and Showalter, Kenneth, "Collapse of Spatiotemporal Chaos" (2003). Faculty & Staff Scholarship. 86.
https://researchrepository.wvu.edu/faculty_publications/86
Source Citation
Wackerbauer, Renate., &Showalter, Kenneth. (2003). Collapse Of Spatiotemporal Chaos. Physical Review Letters, 91(17). http://doi.org/10.1103/PhysRevLett.91.174103