title: Non-monotonic resonance in a spatially forced Lengyel-Epstein model.
abstract: We study resonant spatially periodic solutions of the Lengyel-Epstein model modified to describe the chlorine dioxide-iodine-malonic acid reaction under spatially periodic illumination. Using multiple-scale analysis and numerical simulations, we obtain the stability ranges of 2:1 resonant solutions, i.e., solutions with wavenumbers that are exactly half of the forcing wavenumber. We show that the width of resonant wavenumber response is a non-monotonic function of the forcing strength, and diminishes to zero at sufficiently strong forcing. We further show that strong forcing may result in a π/2 phase shift of the resonant solutions, and argue that the nonequilibrium Ising-Bloch front bifurcation can be reversed. We attribute these behaviors to an inherent property of forcing by periodic illumination, namely, the increase of the mean spatial illumination as the forcing amplitude is increased.
authors.affiliation: Physics Department, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel.
authors.forename: Lev
authors.initials: L
authors.lastname: Haim
authors.affiliation: Center for Nonlinear Studies, Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
authors.forename: Aric
authors.initials: A
authors.lastname: Hagberg
authors.affiliation: Physics Department, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel.
authors.forename: Ehud
authors.initials: E
authors.lastname: Meron
mesh_terms: D017606:Chlorine Compounds / Q000737:chemistry*; D007455:Iodine / Q000737:chemistry*; D008314:Malonates / Q000737:chemistry*; D008956:Models, Chemical; D010087:Oxides / Q000737:chemistry*
chemical_list: D017606:Chlorine Compounds; D008314:Malonates; D010087:Oxides; C025109:chlorine dioxide; D007455:Iodine; C030290:malonic acid