A ternary autonomous dynamical system of FitzHugh–Rinzel type is analyzed. The system, at start, is reduced to a nonlinear integro differential equation. The fundamental solution H(x, t) is explicitly determined and the initial value problem is analyzed in the whole space. The solution is expressed by means of an integral equation involving H(x, t). Moreover, adding an extra control term, explicit solutions are achieved.
On solutions to a FitzHugh–Rinzel type model / De Angelis, F.; De Angelis, M.. - In: RICERCHE DI MATEMATICA. - ISSN 0035-5038. - 70:(2021), pp. 51-65. [10.1007/s11587-020-00483-y]
On solutions to a FitzHugh–Rinzel type model
De Angelis F.;De Angelis M.
2021
Abstract
A ternary autonomous dynamical system of FitzHugh–Rinzel type is analyzed. The system, at start, is reduced to a nonlinear integro differential equation. The fundamental solution H(x, t) is explicitly determined and the initial value problem is analyzed in the whole space. The solution is expressed by means of an integral equation involving H(x, t). Moreover, adding an extra control term, explicit solutions are achieved.File in questo prodotto:
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