The initial value problem P, in all of the space, for the spatio - temporal FitzHugh - Nagumo equations is analyzed. When the reaction kinetics of the model can be outlined by means of piecewise linear approximations, then the solution of P is explicitly obtained. For periodic initial data are possible damped travelling waves and their speed of propagation is evaluated. The results imply applications also to the non linear case.
On the FitzHugh - Nagumo Model / DE ANGELIS, Monica; Renno, Pasquale. - STAMPA. - (2008), pp. 193-198. (Intervento presentato al convegno XIV International Conference on Waves and Stability in Continuous Media tenutosi a Baia Samuele (Sicilia, Italy) nel 30/06/2007-07/07/2007).
On the FitzHugh - Nagumo Model
DE ANGELIS, MONICA;RENNO, PASQUALE
2008
Abstract
The initial value problem P, in all of the space, for the spatio - temporal FitzHugh - Nagumo equations is analyzed. When the reaction kinetics of the model can be outlined by means of piecewise linear approximations, then the solution of P is explicitly obtained. For periodic initial data are possible damped travelling waves and their speed of propagation is evaluated. The results imply applications also to the non linear case.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
