Open AccessPeriodic 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