title: Bifurcations in reaction-diffusion systems in chaotic flows.
abstract: We study the behavior of reacting tracers in a chaotic flow. In particular, we look at an autocatalytic reaction and at a bistable system which are subjected to stirring by a chaotic flow. The impact of the chaotic advection is described by a one-dimensional phenomenological model. We use a nonperturbative technique to describe the behavior near a saddle node bifurcation. We also find an approximation of the solution far away from the bifurcation point. The results are confirmed by numerical simulations and show good agreement.
authors.affiliation: School of Mathematics & Statistics, University of Sydney, New South Wales 2006, Australia.
authors.forename: Shakti N
authors.initials: SN
authors.lastname: Menon
authors.forename: Georg A
authors.initials: GA
authors.lastname: Gottwald