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Cite Details

Bradley Marts, David J. W. Simpson, Aric Hagberg and Anna L. Lin, "Period doubling in a periodically forced Belousov-Zhabotinsky reaction", Phys. Rev. E, vol. 76, doi:10.1103/PhysRevE.76.026213, pp. 026213, 2007


Using an open-flow reactor periodically perturbed with light, we observe sub-harmonic 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 to the experimental observations and indicate the oscillations in the experiment are a result of period doubling.

BibTeX Entry

author = {Bradley Marts and David J. W. Simpson and Aric Hagberg and Anna L. Lin},
title = {Period doubling in a periodically forced {Belousov-Zhabotinsky} reaction},
year = {2007},
urlpdf = {http://math.lanl.gov/~hagberg/Papers/doubling.pdf},
journal = {Phys. Rev. E},
volume = {76},
doi = {10.1103/PhysRevE.76.026213},
pages = {026213}