Bifurcation and Chaos Control of a System of Rational Difference Equations

Autor: Rizwan Ahmed, Shehraz Akhtar, Muzammil Mukhtar, Faiza Anwar
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Results in Nonlinear Analysis, Vol 4, Iss 3, Pp 169-178 (2021)
Druh dokumentu: article
ISSN: 2636-7556
DOI: 10.53006/rna.916750
Popis: 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.
Databáze: Directory of Open Access Journals