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Chaos Synchronization of the Distributed-Order Lorenz System via Active Control and Applications in Chaotic Masking (Retracted article.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.

引用

页数：14

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