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 / Zanini, Chiara; Zanolin, F.. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - STAMPA. - 32:11(2012), pp. 4045-4067. [10.3934/dcds.2012.32.4045]
Periodic solutions for a class of second order ODEs with a Nagumo cubic type nonlinearity
ZANINI, CHIARA;
2012
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.Pubblicazioni consigliate
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https://hdl.handle.net/11583/2461236
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