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Recent studies of the photosensitive Belousov-Zhabotinsky
reaction have shown that, in addition to spiral waves and
critical fingers, there is another possible waveform with a free
end, a propagating wave segment [1]. These constant velocity
particlelike waves have two free ends, and their size and shape
are uniquely determined by the excitability of the medium. They
are inherently unstable, but they can be easily stabilized by
applying an appropriate feedback to the excitability of the
medium. A kinematical model is developed to describe the relationship between excitability and the size and shape of stabilized wave segments in a broad class of weakly excitable media [2]. The model predictions are compared with results from numerical simulations. [1] E. Mihaliuk, T. Sakurai, F. Chirila, and K. Showalter, Phys. Rev. E , 65, 065602 (2002). [2] V.S. Zykov and K. Schowalter, Phys. Rev. Lett., 94, 068302 (2005). |
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