Existence of unpredictable solutions and chaos
TURKISH JOURNAL OF MATHEMATICS, cilt.41, sa.2, ss.254-266, 2017 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 41 Sayı: 2
- Basım Tarihi: 2017
- Doi Numarası: 10.3906/mat-1603-51
- Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.254-266
- Anahtar Kelimeler: Poincare chaos, unpredictable function, Poisson stability, Bebutov dynamical system, quasilinear differential equation, chaos control, LI-YORKE CHAOS, DYNAMIC-SYSTEMS, GENERATION, SICNNS
- Orta Doğu Teknik Üniversitesi Adresli: Evet
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.