Internal layer oscillations in FitzHugh–Nagumo equation
نویسنده
چکیده
A controller-propagator system with a FitzHugh–Nagumo equation can be reduced to a free boundary problem when a layer parameter ” is equal to zero. We shall show the existence of solutions and the occurence of a Hopf bifurcation for this free boundary problem as the controlling parameter varies. c © 1999 Elsevier Science B.V. All rights reserved. AMS classi cation: primary 35R35; 35B32; secondary 35B25; 35K22; 35K57; 58F14; 58F22
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