Qualitative study of a second order difference equation

Authors

MESSAOUD BERKAL
JUAN FRANCISCO NAVARRO

DOI

10.55730/1300-0098.3375

Abstract

In this paper, we study a second order rational difference equation. We analyze the stability of the unique positive equilibrium of the equation and prove the existence of a Neimark-Sacker bifurcation, validating our theoretical analysis via a numerical exploration of the system.

Keywords

Difference equations, Neimark-Sacker bifurcation, stability

First Page

516

Last Page

527

Recommended Citation

BERKAL, MESSAOUD and NAVARRO, JUAN FRANCISCO (2023) "Qualitative study of a second order difference equation," Turkish Journal of Mathematics: Vol. 47: No. 2, Article 7. https://doi.org/10.55730/1300-0098.3375
Available at: https://journals.tubitak.gov.tr/math/vol47/iss2/7