RETRACTED: Chaos Synchronization of the Distributed-Order Lorenz System via Active Control and Applications in Chaotic Masking (Retracted article. See vol. 28, 2018)

被引：18
作者：
Chen, Jiyang [1 ]
Li, Chuandong [1 ]
Yang, Xujun [1 ]
机构：
[1] Southwest Univ, Natl & Local Joint Engn Lab Intelligent Transmiss, Chongqing 400715, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2018年 / 28卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Chaos; synchronization; distributed order; active control; Lorenz system; chaotic masking; ADAPTIVE SYNCHRONIZATION; SECURE COMMUNICATION; MODULATION;
D O I：
10.1142/S0218127418501213
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Different from previous works on chaotic synchronization of fractional-order system, this paper discusses the chaotic synchronization of Lorenz system with distributed order. The main idea is that we transform the distributed-order Lorenz system in the time domain into the frequency domain by Laplace transformation, and then, based on the final-value theorem, two main theorems and the designed controllers, the chaotic synchronization between the distributed-order Lorenz drive system and response system is obtained. Finally, numerical simulations and applications in chaotic masking are presented to verify reliability of the obtained results.
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页数：14
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