Dynamic Analysis of a 10-Dimensional Fractional-Order Hyperchaotic System Using Advanced Hyperchaotic Metrics

Dynamic Analysis of a 10-Dimensional Fractional-Order Hyperchaotic System Using Advanced Hyperchaotic Metrics

In this paper, we propose an innovative approach to fractional-order dynamics by introducing a 10-dimensional (10D) chaotic system that leverages the intrinsic memory characteristic of the Grünwald–Letnikov (G-L) derivative. We utilize Lyapunov exponents as a quantitative measure to characterize hyp...

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Bibliographic Details
Main Authors: Muhammad Sarfraz, Jiang Zhou, Mazhar Islam, Akhter Rasheed, Qi Liu
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Fractal and Fractional
Subjects:
Grünwald–Letnikov derivative
Lyapunov exponent
hyperchaotic system
fractional-order system
0-1 test for chaos
Online Access:https://www.mdpi.com/2504-3110/9/2/76

Internet

https://www.mdpi.com/2504-3110/9/2/76

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