Stability and periodic nature of a system of difference equations
International Journal of Nonlinear Analysis and Applications, cilt.11, sa.2, ss.187-198, 2020 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 11 Sayı: 2
- Basım Tarihi: 2020
- Doi Numarası: 10.22075/ijnaa.2020.19775.2100
- Dergi Adı: International Journal of Nonlinear Analysis and Applications
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.187-198
- Anahtar Kelimeler: Difference equations, discrete dynamical systems, stability, periodicity, invariant
- Kırklareli Üniversitesi Adresli: Evet
Özet
In this paper, we investigate the equilibrium points of following a system of difference equations xn+1 = xn−2yn − 1, yn+1 = yn−2xn − 1. We also study the asymptotic stability of related system of difference equations. Further we examine the periodic solutions of related system with period two. Additionally, we find out the invariant interval and periodic cycles of related system of difference equations.