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Phys. Rev. Lett. 84, 4240–4243 (2000)

Resonant Phase Patterns in a Reaction-Diffusion System

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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

Received 22 September 1999; published in the issue dated 1 May 2000

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.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.84.4240
DOI:
10.1103/PhysRevLett.84.4240
PACS:
82.40.Ck, 05.45.Xt, 05.65.+b, 47.54.+r