Fractional Order of a New 7D Hyperchaotic Lorenz-like System
Konuralp Journal of Mathematics, cilt.9, sa.1, ss.76-89, 2021 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 9 Sayı: 1
- Basım Tarihi: 2021
- Dergi Adı: Konuralp Journal of Mathematics
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.76-89
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Bilecik Şeyh Edebali Üniversitesi Adresli: Evet
Özet
In this paper, a new 7D hyperchaotic Lorenz-like system is proposed with perspective of fractional order. Numerical implementations of this proposed system with specific parameters are investigated and compared with the new 7D continuous hyperchaotic system. In addition to this, due to the hyperchaotic attractors do not exist lower than 0.6, the values of fractional order are analysed in range between 0.6 to 1. Stability conditions are obtained through the stability theory of fractional systems. Numerical analysis of Lyapunov exponents verifies the existence of hyperchaos for less than five orders.