Generation of finite wave trains in excitable media

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dc.creatorYochelis, Arik
dc.creatorKnobloch, Edgar
dc.creatorXie, Yuanfang
dc.creatorQu, Zhilin
dc.creatorGarfinkel, Alan
dc.date2008-07-09
dc.date2008-09-04
dc.date.accessioned2026-07-07T10:02:09Z
dc.date.available2026-07-07T10:02:09Z
dc.descriptionSpatiotemporal 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.
dc.description6 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/0807.1514
dc.identifierhttp://arxiv.org/abs/0807.1514
dc.identifierEPL 83, 64005 (2008)
dc.identifierdoi:10.1209/0295-5075/83/64005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168870
dc.subjectPattern Formation and Solitons
dc.titleGeneration of finite wave trains in excitable media
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