Collapse of Spatiotemporal Chaos | Zendy

Renate Wackerbauer | Zendy; Kenneth Showalter | Zendy

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Collapse of Spatiotemporal Chaos

Author(s) -

Renate Wackerbauer,

Kenneth Showalter

Publication year - 2003

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.91.174103

Subject(s) - chaos (operating system) , statistical physics , transient (computer programming) , physics , reaction–diffusion system , exponential growth , diffusion , computer science , quantum mechanics , computer security , operating system

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.

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