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Chaotic wave trains in an oscillatory/excitable medium
Affiliation:1. Physics Department, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel;2. 35, Shederot Yeelim, Beer-Sheva 84730, Israel
Abstract:We study the chaotic dynamics of a heterogeneous reaction–diffusion medium composed of two uniform regions: one oscillatory, and the other excitable. It is shown that, by altering the diffusion coefficient, local chaotic oscillations can be induced at the interface between regions, which in turn, generate different chaotic sequences of pulses traveling in the excitable region. We analyze the properties of the local chaotic driver, as well as the diffusion-induced transitions. A procedure based on the abnormal frequency-locking phenomenon is proposed for controlling such sequences. Relevance of the obtained results to cardiac dynamics is briefly discussed.
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