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arXiv · 0807.1514

Generation of finite wave trains in excitable media

Arik Yochelis·Edgar Knobloch·Yuanfang Xie·Zhilin Qu·Alan Garfinkel
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Abstract

Spatiotemporal control of excitable media is of paramount importance in the development of new applications, ranging from biology to physics. To this end we identify and describe a qualitative property of excitable media that enables us to generate a sequence of traveling pulses of any desired length, using a one-time initial stimulus. The wave trains are produced by a transient pacemaker generated by a one-time suitably tailored spatially localized finite amplitude stimulus, and belong to a family of fast pulse trains. A second family, of slow pulse trains, is also present. The latter are created through a clumping instability of a traveling wave state (in an excitable regime) and are inaccessible to single localized stimuli of the type we use. The results indicate that the presence of a large multiplicity of stable, accessible, multi-pulse states is a general property of simple models of excitable media.

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Arik Yochelis, Edgar Knobloch, Yuanfang Xie, Zhilin Qu, Alan Garfinkel. 2008-09-04. Generation of finite wave trains in excitable media. https://doi.org/10.1209/0295-5075/83/64005

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