Hopf bifurcations in dynamics of excitable systems

Author:

Monica De Angelis

Keyword:

Nonlinear Sciences, Chaotic Dynamics, Chaotic Dynamics (nlin.CD), Mathematical Physics (math-ph)

journal:

Ricerche di Matematica Published 16 December 2022

date:

2023-06-11 16:00:00

Abstract

A general FitzHugh-Rinzel model, able to describe several neuronal phenomena, is considered. Linear stability and Hopf bifurcations are investigated by means of the spectral equation for the ternary autonomous dynamical system and the analysis is driven by both an admissible critical point and a parameter which characterizes the system.

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