Numerical solutions and synchronization of a variable-order fractional chaotic system

Zakia HAMMOUCH, (Division of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, Vietnam)
Mehmet YAVUZ, (Necmettin Erbakan Üniversitesi, Matematik Bölümü ve Bilgisayar Bilimleri, Konya, Türkiye)
Necati ÖZDEMİR (Balıkesir Üniversitesi, Matematik Bölümü, Balıkesir, Türkiye)
Mathematical Modelling and Numerical Simulation with Applications
12 2
Yıl: 2021 Cilt: 1 Sayı: 1 Sayfa Aralığı: 11 - 23 Metin Dili: İngilizce DOI: 10.53391/mmnsa.2021.01.002 İndeks Tarihi: 21-02-2023

Numerical solutions and synchronization of a variable-order fractional chaotic system

Öz:
In the present paper, we implement a novel numerical method for solving differential equations with fractional variable-order in the Caputo sense to research the dynamics of a circulant Halvorsen system. Control laws are derived analytically to make synchronization of two identical commensurate Halvorsen systems with fractional variable-order time derivatives. The chaotic dynamics of the Halvorsen system with variable-order fractional derivatives are investigated and the identical synchronization between two systems is achieved. Moreover, graph simulations are provided to validate the theoretical analysis.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA Hammouch Z, Yavuz M, OZDEMIR N (2021). Numerical solutions and synchronization of a variable-order fractional chaotic system. , 11 - 23. 10.53391/mmnsa.2021.01.002
Chicago Hammouch Zakia,Yavuz Mehmet,OZDEMIR Necati Numerical solutions and synchronization of a variable-order fractional chaotic system. (2021): 11 - 23. 10.53391/mmnsa.2021.01.002
MLA Hammouch Zakia,Yavuz Mehmet,OZDEMIR Necati Numerical solutions and synchronization of a variable-order fractional chaotic system. , 2021, ss.11 - 23. 10.53391/mmnsa.2021.01.002
AMA Hammouch Z,Yavuz M,OZDEMIR N Numerical solutions and synchronization of a variable-order fractional chaotic system. . 2021; 11 - 23. 10.53391/mmnsa.2021.01.002
Vancouver Hammouch Z,Yavuz M,OZDEMIR N Numerical solutions and synchronization of a variable-order fractional chaotic system. . 2021; 11 - 23. 10.53391/mmnsa.2021.01.002
IEEE Hammouch Z,Yavuz M,OZDEMIR N "Numerical solutions and synchronization of a variable-order fractional chaotic system." , ss.11 - 23, 2021. 10.53391/mmnsa.2021.01.002
ISNAD Hammouch, Zakia vd. "Numerical solutions and synchronization of a variable-order fractional chaotic system". (2021), 11-23. https://doi.org/10.53391/mmnsa.2021.01.002
APA Hammouch Z, Yavuz M, OZDEMIR N (2021). Numerical solutions and synchronization of a variable-order fractional chaotic system. Mathematical Modelling and Numerical Simulation with Applications, 1(1), 11 - 23. 10.53391/mmnsa.2021.01.002
Chicago Hammouch Zakia,Yavuz Mehmet,OZDEMIR Necati Numerical solutions and synchronization of a variable-order fractional chaotic system. Mathematical Modelling and Numerical Simulation with Applications 1, no.1 (2021): 11 - 23. 10.53391/mmnsa.2021.01.002
MLA Hammouch Zakia,Yavuz Mehmet,OZDEMIR Necati Numerical solutions and synchronization of a variable-order fractional chaotic system. Mathematical Modelling and Numerical Simulation with Applications, vol.1, no.1, 2021, ss.11 - 23. 10.53391/mmnsa.2021.01.002
AMA Hammouch Z,Yavuz M,OZDEMIR N Numerical solutions and synchronization of a variable-order fractional chaotic system. Mathematical Modelling and Numerical Simulation with Applications. 2021; 1(1): 11 - 23. 10.53391/mmnsa.2021.01.002
Vancouver Hammouch Z,Yavuz M,OZDEMIR N Numerical solutions and synchronization of a variable-order fractional chaotic system. Mathematical Modelling and Numerical Simulation with Applications. 2021; 1(1): 11 - 23. 10.53391/mmnsa.2021.01.002
IEEE Hammouch Z,Yavuz M,OZDEMIR N "Numerical solutions and synchronization of a variable-order fractional chaotic system." Mathematical Modelling and Numerical Simulation with Applications, 1, ss.11 - 23, 2021. 10.53391/mmnsa.2021.01.002
ISNAD Hammouch, Zakia vd. "Numerical solutions and synchronization of a variable-order fractional chaotic system". Mathematical Modelling and Numerical Simulation with Applications 1/1 (2021), 11-23. https://doi.org/10.53391/mmnsa.2021.01.002
Sayfa Oluşturulma Tarihi
17-05-2024 11:33

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