Araştırma Makalesi

Bifurcation and Chaos Control of a System of Rational Difference Equations

Cilt: 4 Sayı: 3 30 Eylül 2021
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Bifurcation and Chaos Control of a System of Rational Difference Equations

Öz

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

Anahtar Kelimeler

Destekleyen Kurum

None

Proje Numarası

None

Kaynakça

  1. I. Bajo, E. Liz, Global behaviour of a second-order nonlinear difference equation Journal of difference equations and applications, 17(10) (2011) 1471-1486.
  2. N. Touafek, E. M. Elsayed, On the solutions of systems of rational difference equations, Math. Comput. Modelling 55 (2012) 1987-1997.
  3. S. Stevic, On a system of difference equations, Appl. Math. Comput. 218 (2011) 3372-3378.
  4. S. Stevic, On a third-order system of difference equations, Appl. Math. Comput. 218 (2012) 7649-7654.
  5. Q. Din, On a system of rational difference equation, Demonstratio Math. 47 (2) (2014) 324-335.
  6. R. Ahmed, Complex dynamics of a fractional-order predator-prey interaction with harvesting, Open journal of discrete applied mathematics, 3(3) (2020) 24-32.
  7. S. L. J. Allen, An introduction to mathematical biology, Pearson prentice hall, 2007.
  8. S. N. Elaydi, An introduction to difference equations, springer New York, 2005.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Muzammil Mukhtar Bu kişi benim
Pakistan

Faiza Anwar Bu kişi benim
Pakistan

Yayımlanma Tarihi

30 Eylül 2021

Gönderilme Tarihi

16 Nisan 2021

Kabul Tarihi

4 Ağustos 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 4 Sayı: 3

Kaynak Göster

APA
Ahmed, R., Akhtar, S., Mukhtar, M., & Anwar, F. (2021). Bifurcation and Chaos Control of a System of Rational Difference Equations. Results in Nonlinear Analysis, 4(3), 169-178. https://doi.org/10.53006/rna.916750
AMA
1.Ahmed R, Akhtar S, Mukhtar M, Anwar F. Bifurcation and Chaos Control of a System of Rational Difference Equations. RNA. 2021;4(3):169-178. doi:10.53006/rna.916750
Chicago
Ahmed, Rizwan, Shehraz Akhtar, Muzammil Mukhtar, ve Faiza Anwar. 2021. “Bifurcation and Chaos Control of a System of Rational Difference Equations”. Results in Nonlinear Analysis 4 (3): 169-78. https://doi.org/10.53006/rna.916750.
EndNote
Ahmed R, Akhtar S, Mukhtar M, Anwar F (01 Eylül 2021) Bifurcation and Chaos Control of a System of Rational Difference Equations. Results in Nonlinear Analysis 4 3 169–178.
IEEE
[1]R. Ahmed, S. Akhtar, M. Mukhtar, ve F. Anwar, “Bifurcation and Chaos Control of a System of Rational Difference Equations”, RNA, c. 4, sy 3, ss. 169–178, Eyl. 2021, doi: 10.53006/rna.916750.
ISNAD
Ahmed, Rizwan - Akhtar, Shehraz - Mukhtar, Muzammil - Anwar, Faiza. “Bifurcation and Chaos Control of a System of Rational Difference Equations”. Results in Nonlinear Analysis 4/3 (01 Eylül 2021): 169-178. https://doi.org/10.53006/rna.916750.
JAMA
1.Ahmed R, Akhtar S, Mukhtar M, Anwar F. Bifurcation and Chaos Control of a System of Rational Difference Equations. RNA. 2021;4:169–178.
MLA
Ahmed, Rizwan, vd. “Bifurcation and Chaos Control of a System of Rational Difference Equations”. Results in Nonlinear Analysis, c. 4, sy 3, Eylül 2021, ss. 169-78, doi:10.53006/rna.916750.
Vancouver
1.Rizwan Ahmed, Shehraz Akhtar, Muzammil Mukhtar, Faiza Anwar. Bifurcation and Chaos Control of a System of Rational Difference Equations. RNA. 01 Eylül 2021;4(3):169-78. doi:10.53006/rna.916750

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