On the Dynamics of a System of Difference Equations xn+1 = xn−1 yn − 1, yn+1 = yn−1 zn − 1, zn+1 = zn−1 xn − 1


TAŞDEMİR E., Soykan Y.

Konuralp Journal of Mathematics, cilt.9, sa.1, ss.1-9, 2021 (Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 1
  • Basım Tarihi: 2021
  • Dergi Adı: Konuralp Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.1-9
  • Anahtar Kelimeler: boundedness, difference equations, dynamical systems, periodicity, stability
  • Kırklareli Üniversitesi Adresli: Evet

Özet

In this paper, we study the dynamics of following system of nonlinear difference equations xn+1 = xn−1 yn − 1, yn+1 = yn−1 zn − 1, zn+1 = zn−1 xn − 1. Especially we investigate the periodicity, boundedness and stability of related system of difference equations.