Generation of finite wave trains in excitable media

Details Generation of finite wave trains in excitable media Generation of finite wave trains in excitable media

2008-07-09

arxiv.org/abs/0807.1514v2

EPL 83, 64005 (2008)

Nonlinear Sciences

Pattern Formation and Solitons

6 pages, 6 figures

Scientific paper

10.1209/0295-5075/83/64005

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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