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Period doubling in a periodically forced Belousov-Zhabotinsky reaction

Bradley Marts1, David J. W. Simpson2, Aric Hagberg3, and Anna L. Lin1

  • 1Center for Nonlinear and Complex Systems and Department of Physics, Duke University, Durham, North Carolina 27708, USA
  • 2Department of Applied Mathematics, University of Colorado at Boulder, Boulder, Colorado 80309, USA
  • 3Mathematical Modeling and Analysis, Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA

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Phys. Rev. E 76, 026213 – Published 21 August, 2007

DOI: https://doi.org/10.1103/PhysRevE.76.026213

Abstract

Using an open-flow reactor periodically perturbed with light, we observe subharmonic frequency locking of the oscillatory Belousov-Zhabotinsky chemical reaction at one-sixth the forcing frequency (6:1) over a region of the parameter space of forcing intensity and forcing frequency where the Farey sequence dictates we should observe one-third the forcing frequency (3:1). In this parameter region, the spatial pattern also changes from slowly moving traveling waves to standing waves with a smaller wavelength. Numerical simulations of the FitzHugh-Nagumo equations show qualitative agreement with the experimental observations and indicate that the oscillations in the experiment are a result of period doubling.

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Phys. Rev. E 76, 026213– Published 21 August, 2007
  • Received 4 May 2007

© 2007 American Physical Society

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