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Periodic solutions for a class of second order ODEs with a Nagumo cubic type nonlinearity

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  • 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.
    Mathematics Subject Classification: Primary: 34C25, 37E40; Secondary: 92C20.


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