Unpredictable solutions of linear differential and discrete equations

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

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 5
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3906/mat-1810-86
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.2377-2389
  • Anahtar Kelimeler: Unpredictable solutions, Poincare chaos, linear nonhomogeneous systems, CHAOS
  • TED Üniversitesi Adresli: Evet

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.