The numerous scientic feedbacks that the FitzHugh-Rinzel system (FHR) is having in various scientic elds, lead to further studies on the deter- mination of its explicit solutions. Indeed, such a study can help to get a better understanding of several behaviours in the complex dynamics of biological systems. In this note, a class of travelling wave solutions is determined and specic solutions are achieved to explicitly show the contribution due to a diusion term considered in the FHR model.
A Note on Explicit Solutions of FitzHugh- Rinzel system / DE ANGELIS, Monica. - In: NONLINEAR DYNAMICS AND SYSTEMS THEORY. - ISSN 1562-8353. - 21:4(2021), pp. 360-366.
A Note on Explicit Solutions of FitzHugh- Rinzel system
Monica De Angelis
2021
Abstract
The numerous scientic feedbacks that the FitzHugh-Rinzel system (FHR) is having in various scientic elds, lead to further studies on the deter- mination of its explicit solutions. Indeed, such a study can help to get a better understanding of several behaviours in the complex dynamics of biological systems. In this note, a class of travelling wave solutions is determined and specic solutions are achieved to explicitly show the contribution due to a diusion term considered in the FHR model.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
