A New Synchronization Method for Time-Delay Fractional Complex Chaotic System and Its Application

Junmei Guo, Chunrui Ma, Xinheng Wang, Fangfang Zhang, Michaël Antonie van Wyk and Lei Kou
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Junmei Guo: School of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China
Chunrui Ma: School of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China
Xinheng Wang: School of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China
Fangfang Zhang: School of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China
Michaël Antonie van Wyk: School of Electrical and Information Engineering, University of the Witwatersrand, Johannesburg 2000, South Africa
Lei Kou: Institute of Oceanographic Instrumentation, Qilu University of Technology (Shandong Academy of Sciences), Qingdao 266000, China

Mathematics, 2021, vol. 9, issue 24, 1-20

Abstract: This paper proposes a class of time-delay fractional complex L u ¨ system and utilizes the adomian decomposition algorithm to study the dynamics of the system. Firstly, the time chaotic attractor, coexistence attractor and parameter space are studied. The bifurcation diagram and complexity are used to analyze the dynamic characteristics of the system. Secondly, the definition of modified fractional projective difference function synchronization (MFPDFS) is introduced. The corresponding synchronous controller is designed to realize the MFPDFS of the time-delay fractional complex L u ¨ system. Thirdly, based on the background of wireless speech communication system (WSCs), the MFPDFS controller is used to realize the secure speech transmission. Finally, the effectiveness of the controller is verified by numerical simulation. The signal-noise ratio (SNR) analysis of speech transmission is given. The performance of secure communication is verified by numerical simulation.

Keywords: time-delay; fractional complex Lü system; synchronization controller; signal-noise ratio; speech communication (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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