We prove the existence of multiple periodic solutions as well as the presence of complex profiles (for a certain range of the parameters) for the steady state solutions of a class of reaction diffusion equations with a FitzHugh-Nagumo cubic type nonlinearity. An application is given to a second order ODE related to a myelinated nerve axon model.
Periodic solutions for a class of second order ODEs with a Nagumo cubic type nonlinearity
ZANOLIN, Fabio
2012-01-01
Abstract
We prove the existence of multiple periodic solutions as well as the presence of complex profiles (for a certain range of the parameters) for the steady state solutions of a class of reaction diffusion equations with a FitzHugh-Nagumo cubic type nonlinearity. An application is given to a second order ODE related to a myelinated nerve axon model.File in questo prodotto:
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