Bifurcation and Chaos Control of a System of Rational Difference Equations

We study a system of rational difference 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 equilibriu...

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Bibliographic Details
Published inResults in nonlinear analysis Vol. 4; no. 3; pp. 169 - 178
Main Authors AHMED, Rizwan, AKHTAR, Shehraz, MUKHTAR, Muzammil, ANWAR, Faiza
Format Journal Article
LanguageEnglish
Published Erdal KARAPINAR 30.09.2021
Subjects
bifurcation
chaos control
stability
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Summary:We study a system of rational difference 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
ISSN:2636-7556
2636-7556
DOI:10.53006/rna.916750