Diffusion-induced periodic transition between oscillatory modes in amplitude-modulated patterns

Xiaodong Tang; Yuxiu He; Irving R Epstein; Qun Wang; Shaorong Wang; Qingyu Gao

doi:10.1063/1.4872215

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Diffusion-induced periodic transition between oscillatory modes in amplitude-modulated patterns

Journal article

Peer reviewed

Diffusion-induced periodic transition between oscillatory modes in amplitude-modulated patterns

Xiaodong Tang, Yuxiu He, Irving R Epstein, Qun Wang, Shaorong Wang and Qingyu Gao

Chaos (Woodbury, N.Y.), Vol.24(2), pp.023109-023109

06/2014

DOI: https://doi.org/10.1063/1.4872215

PMID: 24985423

Abstract

Reaction-diffusion system

Galactic properties

Transition state

Data visualization

Amplitude modulation

Numerical methods

Phase transitions

Fourier analysis

Phase space methods

Dynamical Systems

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.

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Title: Diffusion-induced periodic transition between oscillatory modes in amplitude-modulated patterns
Creators: Xiaodong Tang - College of Chemical Engineering, China University of Mining and Technology, Xuzhou 221008, China
Yuxiu He - College of Chemical Engineering, China University of Mining and Technology, Xuzhou 221008, China
Irving R Epstein - Department of Chemistry and Volen Center for Complex Systems, MS 015, Brandeis University, Waltham, Massachusetts 02454-9110, USA
Qun Wang - School of Physics and Electronic Engineering, Jiangsu Normal University, Xuzhou 221116, China
Shaorong Wang - College of Chemical Engineering, China University of Mining and Technology, Xuzhou 221008, China
Qingyu Gao - College of Chemical Engineering, China University of Mining and Technology, Xuzhou 221008, China
Publication Details: Chaos (Woodbury, N.Y.), Vol.24(2), pp.023109-023109
Publisher: United States
Identifiers: 9923972925801921
Academic Unit: Department of Chemistry; Benjamin and Mae Volen National Center for Complex Systems; Interdepartmental Program in Neuroscience
Language: English
Resource Type: Journal article

Diffusion-induced periodic transition between oscillatory modes in amplitude-modulated patterns

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