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Article

Adomian Decomposition, Dynamic Analysis and Circuit Implementation of a 5D Fractional-Order Hyperchaotic System

Collaborative Innovation Center of Memristive Computing Application, Qilu Institute of Technology, Jinan 250200, China
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Academic Editors: Christos Volos and Jan Awrejcewicz
Symmetry 2022, 14(3), 484; https://doi.org/10.3390/sym14030484
Received: 10 January 2022 / Revised: 15 February 2022 / Accepted: 23 February 2022 / Published: 27 February 2022
(This article belongs to the Special Issue Symmetry in Chaotic Systems and Circuits 2021)
In this paper, a class of fractional-order symmetric hyperchaotic systems is studied based on the Adomian decomposition method. Starting from the definition of Adomian, the nonlinear term of a fractional-order five-dimensional chaotic system is decomposed. At the same time, the dynamic behavior of a fractional-order hyperchaotic system is analyzed by using bifurcation diagrams, Lyapunov exponent spectrum, complexity and attractor phase diagrams. The simulation results show that with the decrease of fractional order q, the complexity of the hyperchaotic system increases. Finally, based on the fractional-order circuit design principle, a circuit diagram of the system is designed, and the circuit is simulated by Multisim. The results are consistent with the numerical simulation results, which show that the system can be realized, which provides a foundation for the engineering applications of fractional-order hyperchaotic systems. View Full-Text
Keywords: Adomian decomposition; fractional-order chaotic system; Lyapunov exponent spectrum; circuit design Adomian decomposition; fractional-order chaotic system; Lyapunov exponent spectrum; circuit design
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MDPI and ACS Style

Fu, H.; Lei, T. Adomian Decomposition, Dynamic Analysis and Circuit Implementation of a 5D Fractional-Order Hyperchaotic System. Symmetry 2022, 14, 484. https://doi.org/10.3390/sym14030484

AMA Style

Fu H, Lei T. Adomian Decomposition, Dynamic Analysis and Circuit Implementation of a 5D Fractional-Order Hyperchaotic System. Symmetry. 2022; 14(3):484. https://doi.org/10.3390/sym14030484

Chicago/Turabian Style

Fu, Haiyan, and Tengfei Lei. 2022. "Adomian Decomposition, Dynamic Analysis and Circuit Implementation of a 5D Fractional-Order Hyperchaotic System" Symmetry 14, no. 3: 484. https://doi.org/10.3390/sym14030484

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