In:
International Journal of Bifurcation and Chaos, World Scientific Pub Co Pte Ltd, Vol. 31, No. 01 ( 2021-01), p. 2150016-
Abstract:
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.
Type of Medium:
Online Resource
ISSN:
0218-1274
,
1793-6551
DOI:
10.1142/S0218127421500164
Language:
English
Publisher:
World Scientific Pub Co Pte Ltd
Publication Date:
2021
SSG:
11
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