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Title: Resonant Phase Patterns in a Reaction-Diffusion System

Abstract

Resonance regions similar to the Arnol'd tongues found in single oscillator frequency locking are observed in experiments using a spatially extended periodically forced Belousov-Zhabotinsky system. We identify six distinct 2:1 subharmonic resonant patterns and describe them in terms of the position-dependent phase and magnitude of the oscillations. Some experimentally observed features are also found in numerical studies of a forced Brusselator reaction-diffusion model. (c) 2000 The American Physical Society.

Authors:
; ; ; ; ;
Publication Date:
OSTI Identifier:
20216337
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 84; Journal Issue: 18; Other Information: PBD: 1 May 2000; Journal ID: ISSN 0031-9007
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; OSCILLATORS; RESONANCE; CHEMICAL REACTIONS; DIFFUSION; EXPERIMENTAL DATA

Citation Formats

Lin, Anna L., Bertram, Matthias, Martinez, Karl, Swinney, Harry L., Ardelea, Alexandre, and Carey, Graham F. Resonant Phase Patterns in a Reaction-Diffusion System. United States: N. p., 2000. Web. doi:10.1103/PhysRevLett.84.4240.
Lin, Anna L., Bertram, Matthias, Martinez, Karl, Swinney, Harry L., Ardelea, Alexandre, & Carey, Graham F. Resonant Phase Patterns in a Reaction-Diffusion System. United States. doi:10.1103/PhysRevLett.84.4240.
Lin, Anna L., Bertram, Matthias, Martinez, Karl, Swinney, Harry L., Ardelea, Alexandre, and Carey, Graham F. Mon . "Resonant Phase Patterns in a Reaction-Diffusion System". United States. doi:10.1103/PhysRevLett.84.4240.
@article{osti_20216337,
title = {Resonant Phase Patterns in a Reaction-Diffusion System},
author = {Lin, Anna L. and Bertram, Matthias and Martinez, Karl and Swinney, Harry L. and Ardelea, Alexandre and Carey, Graham F.},
abstractNote = {Resonance regions similar to the Arnol'd tongues found in single oscillator frequency locking are observed in experiments using a spatially extended periodically forced Belousov-Zhabotinsky system. We identify six distinct 2:1 subharmonic resonant patterns and describe them in terms of the position-dependent phase and magnitude of the oscillations. Some experimentally observed features are also found in numerical studies of a forced Brusselator reaction-diffusion model. (c) 2000 The American Physical Society.},
doi = {10.1103/PhysRevLett.84.4240},
journal = {Physical Review Letters},
issn = {0031-9007},
number = 18,
volume = 84,
place = {United States},
year = {2000},
month = {5}
}