Stability of periodic travelling wave solutions of a nerve conduction equation |
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| Authors: | Kenjiro Maginu |
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| Institution: | (1) Department of Mathematical Engineering and Instrumentation Physics, Faculty of Engineering, University of Tokyo, Bunkyo-ku, Tokyo, Japan |
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| Abstract: | Summary Nagumo's nerve conduction equation has travelling wave solutions of pulse type and periodic wave type. We consider the stability
of the latter ones. We denote byL(c) the minimum spatial period of a periodic travelling wave solution whose propagation speed isc. It is shown that this travelling wave solution is unstable ifL′(c)<0. |
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| Keywords: | Travelling wave Nerve conduction |
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