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

Journal Article · · Chaos (Woodbury, N. Y.)
DOI:https://doi.org/10.1063/1.4872215· OSTI ID:22250764
; ; ;  [1];  [2]
  1. College of Chemical Engineering, China University of Mining and Technology, Xuzhou 221008 (China)
  2. School of Physics and Electronic Engineering, Jiangsu Normal University, Xuzhou 221116 (China)

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{sup N−1} and 1{sup 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.

OSTI ID:
22250764
Journal Information:
Chaos (Woodbury, N. Y.), Vol. 24, Issue 2; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 1054-1500
Country of Publication:
United States
Language:
English

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