Qualitative study of a second order difference equation

Authors

MESSAOUD BERKAL
JUAN FRANCISCO NAVARRO

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.

DOI

10.55730/1300-0098.3375

Keywords

Difference equations, Neimark-Sacker bifurcation, stability

First Page

516

Last Page

527

Recommended Citation

BERKAL, M, & NAVARRO, J. F (2023). Qualitative study of a second order difference equation. Turkish Journal of Mathematics 47 (2): 516-527. https://doi.org/10.55730/1300-0098.3375