title: Diffusion-induced periodic transition between oscillatory modes in amplitude-modulated patterns.
abstract: We study amplitude-modulated waves, e.g., wave packets in one dimension, overtarget spirals and superspirals in two dimensions, under mixed-mode oscillatory conditions in a three-variable reaction-diffusion model. New transition zones, not seen in the homogeneous system, are found, in which periodic transitions occur between local 1(N-1) and 1(N) oscillations. Amplitude-modulated complex patterns result from periodic transition between (N - 1)-armed and N-armed waves. Spatial recurrence rates provide a useful guide to the stability of these modulated patterns.
authors.affiliation: College of Chemical Engineering, China University of Mining and Technology, Xuzhou 221008, China.
authors.forename: Xiaodong
authors.initials: X
authors.lastname: Tang
authors.affiliation: College of Chemical Engineering, China University of Mining and Technology, Xuzhou 221008, China.
authors.forename: Yuxiu
authors.initials: Y
authors.lastname: He
authors.affiliation: Department of Chemistry and Volen Center for Complex Systems, MS 015, Brandeis University, Waltham, Massachusetts 02454-9110, USA.
authors.forename: Irving R
authors.initials: IR
authors.lastname: Epstein
authors.affiliation: School of Physics and Electronic Engineering, Jiangsu Normal University, Xuzhou 221116, China.
authors.forename: Qun
authors.initials: Q
authors.lastname: Wang
authors.affiliation: College of Chemical Engineering, China University of Mining and Technology, Xuzhou 221008, China.
authors.forename: Shaorong
authors.initials: S
authors.lastname: Wang
authors.affiliation: College of Chemical Engineering, China University of Mining and Technology, Xuzhou 221008, China.
authors.forename: Qingyu
authors.initials: Q
authors.lastname: Gao