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

被引：2

作者：

Guo, Junmei ^{[1
]}

Ma, Chunrui ^{[1
]}

Wang, Xinheng ^{[1
]}

Zhang, Fangfang ^{[1
,2
]}

van Wyk, Michael Antonie ^{[3
]}

Kou, Lei ^{[4
]}

机构：

[1] Qilu Univ Technol, Shandong Acad Sci, Sch Elect Engn & Automat, Jinan 250353, Peoples R China

[2] Shandong Artificial Intelligence Inst, Natl Supercomp Ctr Jinan, Shandong Comp Sci Ctr, Jinan 250101, Peoples R China

[3] Univ Witwatersrand, Sch Elect & Informat Engn, ZA-2000 Johannesburg, South Africa

[4] Qilu Univ Technol, Shandong Acad Sci, Inst Oceanog Instrumentat, Qingdao 266000, Peoples R China

来源：

MATHEMATICS | 2021年 / 9卷 / 24期

关键词：

time-delay; fractional complex Lu system; synchronization controller; signal-noise ratio; speech communication; SLIDING MODE CONTROL; COMMUNICATION;

D O I：

10.3390/math9243305

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper proposes a class of time-delay fractional complex Lu & BULL; 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 Lu & BULL; 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.

引用

页数：20

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