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

Chiara Zanini | Zendy; Fabio Zanolin | Zendy

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

Author(s) -

Chiara Zanini,

Fabio Zanolin

Publication year - 2012

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2012.32.4045

Subject(s) - ode , nonlinear system , type (biology) , class (philosophy) , mathematics , reaction–diffusion system , mathematical analysis , diffusion , order (exchange) , range (aeronautics) , pure mathematics , physics , computer science , materials science , thermodynamics , quantum mechanics , composite material , ecology , finance , artificial intelligence , economics , biology

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 mode

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