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Chaos Control and Synchronization of a Complex Rikitake Dynamo Model

School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China
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Entropy 2020, 22(6), 671; https://doi.org/10.3390/e22060671
Received: 14 May 2020 / Revised: 12 June 2020 / Accepted: 12 June 2020 / Published: 17 June 2020
A novel chaotic system called complex Rikitake system is proposed. Dynamical properties, including symmetry, dissipation, stability of equilibria, Lyapunov exponents and bifurcation, are analyzed on the basis of theoretical analysis and numerical simulation. Further, based on feedback control method, the complex Rikitake system can be controlled to any equilibrium points. Additionally, this paper not only proves the existence of two types of synchronization schemes in the complex Rikitake system but also designs adaptive controllers to realize them. The proposed results are verified by numerical simulations. View Full-Text
Keywords: complex Rikitake system; chaos control; existence; coexistence; synchronization; adaptive feedback control complex Rikitake system; chaos control; existence; coexistence; synchronization; adaptive feedback control
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Pang, W.; Wu, Z.; Xiao, Y.; Jiang, C. Chaos Control and Synchronization of a Complex Rikitake Dynamo Model. Entropy 2020, 22, 671.

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