Chaos Detection of the Chen System with Caputo–Hadamard Fractional Derivative
2021 ◽
Vol 31
(01)
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pp. 2150016
Keyword(s):
In this paper, we investigate the chaotic behaviors of the Chen system with Caputo–Hadamard derivative. First, we construct some practical numerical schemes for the Chen system with Caputo–Hadamard derivative. Then, by means of the variational equation, we estimate the bounds of the Lyapunov exponents for the considered system. Furthermore, we analyze the dynamical evolution of the Chen system with Caputo–Hadamard derivative based on the Lyapunov exponents, and we found that chaos does exist in the considered system. Some phase diagrams and Lyapunov exponent spectra are displayed to verify our analysis.
2008 ◽
Vol 18
(12)
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pp. 3679-3687
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1996 ◽
Vol 06
(04)
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pp. 759-767
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2021 ◽
Vol 19
(2)
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pp. 209
2000 ◽
2020 ◽
Vol 30
(09)
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pp. 2030025
2020 ◽
Vol 22
(3)
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pp. 1078-1091
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