Stability of periodic travelling wave solutions of a nerve conduction equation.
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 by L(c) the minimum spatial period of a periodic travelling wave solution whose propagation speed is c. It is shown that this travelling wave solution is unstable if L'(c) less than 0.
D001369:Axons / Q000502:physiology; D002462:Cell Membrane / Q000502:physiology; D008959:Models, Neurological; D009431:Neural Conduction; D009474:Neurons / Q000502:physiology*