Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2004-04-30
Phys. Rev. Lett. 93, 174501 (2004)
Nonlinear Sciences
Pattern Formation and Solitons
new version with some minor changes, added journal reference and DOI information; 4 pages, 3 figures, published in Physical Re
Scientific paper
10.1103/PhysRevLett.93.174501
We develop a theory describing the transition to a spatially homogeneous regime in a mixing flow with a chaotic in time reaction. The transverse Lyapunov exponent governing the stability of the homogeneous state can be represented as a combination of Lyapunov exponents for spatial mixing and temporal chaos. This representation, being exact for time-independent flows and equal P\'eclet numbers of different components, is demonstrated to work accurately for time-dependent flows and different P\'eclet numbers.
Abel Markus
Pikovsky Arkady
Straube Arthur V.
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