Volume 83, Number 6, September 2008
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||12 September 2008|
Generation of finite wave trains in excitable media
Department of Medicine (Cardiology), University of California - Los Angeles, CA 90095, USA
2 Department of Physics, University of California - Berkeley, CA 94720, USA
3 Department of Physiological Science, University of California - Los Angeles, CA 90095, USA
Corresponding author: email@example.com
Accepted: 11 August 2008
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.
PACS: 47.54.-r – Pattern selection; pattern formation / 47.35.Fg – Solitary waves / 47.20.Ky – Nonlinearity, bifurcation, and symmetry breaking
© EPLA, 2008
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