Unpredictable solutions of linear differential and discrete equations


AKHMET M. , Fen M. O. , Tleubergenova M., Zhamanshin A.

TURKISH JOURNAL OF MATHEMATICS, cilt.43, sa.5, ss.2377-2389, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Konu: 5
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3906/mat-1810-86
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.2377-2389

Özet

The existence and uniqueness of unpredictable solutions in the dynamics of nonhomogeneous linear systems of differential and discrete equations are investigated. The hyperbolic cases are under discussion. The presence of unpredictable solutions confirms the existence of Poincare chaos. Simulations illustrating the chaos are provided.