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.

Keywords: Difference equations, Neimark-Sacker bifurcation, stability

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