Unpredictable points and chaos
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, cilt.40, ss.1-5, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 40
- Basım Tarihi: 2016
- Doi Numarası: 10.1016/j.cnsns.2016.04.007
- Dergi Adı: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1-5
- Anahtar Kelimeler: Unpredictable point, Poincarechaos, Quasi-minimal set, Symbolic dynamics, COMPUTER-ASSISTED PROOF, EQUATIONS
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- TED Üniversitesi Adresli: Hayır
Özet
It is revealed that a special kind of Poisson stable point, which we call an unpredictable point, gives rise to the existence of chaos in the quasi-minimal set. The existing definitions of chaos are formulated in sets of motions. This is the first time in the literature that description of chaos is initiated from a single motion. The theoretical results are exemplified by means of the symbolic dynamics. (C) 2016 Elsevier B.V. All rights reserved.