Resonant Phase Patterns in a Reaction-Diffusion System

Anna L. Lin, Matthias Bertram, Karl Martinez, Harry L. Swinney, Alexandre Ardelea, and Graham F. Carey
Phys. Rev. Lett. 84, 4240 – Published 1 May 2000
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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.

  • Received 22 September 1999

DOI:https://doi.org/10.1103/PhysRevLett.84.4240

©2000 American Physical Society

Authors & Affiliations

Anna L. Lin, Matthias Bertram, Karl Martinez, and Harry L. Swinney

  • Center for Nonlinear Dynamics and Department of Physics, The University of Texas at Austin, Austin, Texas 78712

Alexandre Ardelea and Graham F. Carey

  • CFD Laboratory and ASE/ME Department, The University of Texas at Austin, Austin, Texas 78712

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Vol. 84, Iss. 18 — 1 May 2000

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