2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100244We 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 Péclet numbers of different components, is demonstrated to work accurately for time-dependent flows and different Péclet numbers.new version with some minor changes, added journal reference and DOI information; 4 pages, 3 figures, published in Physical Review LettersPattern Formation and SolitonsChaotic Dynamicstext