Bifurcation and Chaos Control of a System of Rational Difference Equations

Abstract

We study a system of rational dierence equations in this article. For equilibrium points, we present the stability conditions. In addition, we show that the system encounters period-doubling bifurcation at the trivial equilibrium point O and Neimark-Sacker bifurcation at the non-trivial equilibrium point E. To control the chaotic behavior of the system, we use the hybrid control approach. We also verify our theoretical outcomes at the end with some numerical applications.

Analysis of a Cournot-Bertrand Duoploy Game with Differentiated Products: Stability, Bifurcation and Control

“…The majority of our findings relate the stability and instability of the model's fixed points, particularly the paths that lead to the various forms of bifurcations. We direct the attention of the readers to [8,9,10,11,12,13,14,15] for a more in-depth consideration of stability, bifurcation, and chaos control.…”