Phys. Rev. Lett. 91, 174103 (2003) [4 pages]Collapse of Spatiotemporal ChaosReceived 2 June 2003; published 22 October 2003 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. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.91.174103
DOI:
10.1103/PhysRevLett.91.174103
PACS:
05.45.Jn, 05.45.Pq, 82.40.Bj, 89.75.Fb
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.