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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Official URL: https://doi.org/10.30538/oms2018.0029
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 |
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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 |