Flip and Hopf Bifurcations of Discrete-Time Fitzhugh-Nagumo Model

Din, Qamar and Khaliq, Sadaf (2018) Flip and Hopf Bifurcations of Discrete-Time Fitzhugh-Nagumo Model. Open Journal of Mathematical Sciences, 2(2018 (1). pp. 209-220. ISSN 26164906

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Abstract

In this paper, dynamics of a two-dimensional Fitzhugh-Nagumo model is discussed. The discrete-time model is obtained with the implementation of forward Euler’s scheme. We present the parametric conditions for local asymptotic stability of steady-states. It is shown that the two-dimensional discrete-time model undergoes period-doubling bifurcation and Neimark-Sacker bifurcation at its positive steady-state. Furthermore, in order to illustrate theoretical discussion some interesting numerical examples are presented.

Item Type: Article
Subjects: STM Academic > Mathematical Science
Depositing User: Unnamed user with email support@stmacademic.com
Date Deposited: 30 Jan 2023 11:10
Last Modified: 17 Feb 2024 04:14
URI: http://article.researchpromo.com/id/eprint/134

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