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Dergiler / Konuralp Journal of Mathematics / 2021 / Cilt: 9 - Sayı: 1

Fractional Order of a New 7D Hyperchaotic Lorenz-like System

Emrah HASPOLAT
Bengi YILDIZ
Sayfa
76–89
Yayın Tarihi
2021-04-28
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Numerical analysis of Lyapunov exponents verifies the existence of hyperchaos for less than five orders.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, a new 7D hyperchaotic Lorenz-like system is proposed with perspective of fractional order.
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Temel Bulgular & Veri:Numerical implementations of this proposed system with specific parameters are investigated and compared with the new 7D continuous hyperchaotic system.
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Sonuç & Katkı:Numerical analysis of Lyapunov exponents verifies the existence of hyperchaos for less than five orders.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Chaos · Fractional order derivatives · Fractional stability

Abstract

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.

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Bu Makaleye Atıf Yap

HASPOLAT, E., YILDIZ, B. (2021). Fractional Order of a New 7D Hyperchaotic Lorenz-like System. Konuralp Journal of Mathematics, Cilt: 9 - Sayı: 1, 76–89. https://ajindex.com/articles/786400

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