Existence of unpredictable solutions and chaos


AKHMET M. , Fen M. O.

TURKISH JOURNAL OF MATHEMATICS, cilt.41, ss.254-266, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 41 Konu: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.3906/mat-1603-51
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.254-266

Özet

Recently we introduced the concept of Poincare chaos. In the present paper, by means of the Bebutov dynamical system, an unpredictable solution is considered as a generator of the chaos in a quasilinear system. The results can be easily extended to different types of differential equations. An example of an unpredictable function is provided. A proper irregular behavior in coupled Duffing equations is observed through simulations.