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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{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.

Authors:
; ; ;  [1];  [2];  [3]
  1. College of Chemical Engineering, China University of Mining and Technology, Xuzhou 221008 (China)
  2. Department of Chemistry and Volen Center for Complex Systems, MS 015, Brandeis University, Waltham, Massachusetts 02454-9110 (United States)
  3. School of Physics and Electronic Engineering, Jiangsu Normal University, Xuzhou 221116 (China)
Publication Date:
OSTI Identifier:
22250764
Resource Type:
Journal Article
Resource Relation:
Journal Name: Chaos (Woodbury, N. Y.); Journal Volume: 24; Journal Issue: 2; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AMPLITUDES; DIFFUSION; OSCILLATIONS; PERIODICITY; STABILITY; WAVE PACKETS; ZONES

Citation Formats

Tang, Xiaodong, He, Yuxiu, Wang, Shaorong, Gao, Qingyu, E-mail: gaoqy@cumt.edu.cn, Epstein, Irving R., E-mail: epstein@brandeis.edu, and Wang, Qun. Diffusion-induced periodic transition between oscillatory modes in amplitude-modulated patterns. United States: N. p., 2014. Web. doi:10.1063/1.4872215.
Tang, Xiaodong, He, Yuxiu, Wang, Shaorong, Gao, Qingyu, E-mail: gaoqy@cumt.edu.cn, Epstein, Irving R., E-mail: epstein@brandeis.edu, & Wang, Qun. Diffusion-induced periodic transition between oscillatory modes in amplitude-modulated patterns. United States. doi:10.1063/1.4872215.
Tang, Xiaodong, He, Yuxiu, Wang, Shaorong, Gao, Qingyu, E-mail: gaoqy@cumt.edu.cn, Epstein, Irving R., E-mail: epstein@brandeis.edu, and Wang, Qun. 2014. "Diffusion-induced periodic transition between oscillatory modes in amplitude-modulated patterns". United States. doi:10.1063/1.4872215.
@article{osti_22250764,
title = {Diffusion-induced periodic transition between oscillatory modes in amplitude-modulated patterns},
author = {Tang, Xiaodong and He, Yuxiu and Wang, Shaorong and Gao, Qingyu, E-mail: gaoqy@cumt.edu.cn and Epstein, Irving R., E-mail: epstein@brandeis.edu and Wang, Qun},
abstractNote = {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.},
doi = {10.1063/1.4872215},
journal = {Chaos (Woodbury, N. Y.)},
number = 2,
volume = 24,
place = {United States},
year = 2014,
month = 6
}