Generalized synchronization of commensurate fractional-order chaotic systems: Applications in secure information transmission

被引：17

作者：

Martinez-Fuentes, Oscar ^{[1
,2
]}

Javier Montesinos-Garcia, Juan ^{[3
]}

Francisco Gomez-Aguilar, Jose ^{[4
]}

机构：

[1] Inst Nacl Astrofis Opt & Elect INAOE, Dept Elect, Luis Enrique Erro 1, Cholula 72840, Puebla, Mexico

[2] Univ Anahuac Veracruz, Sch Engn, Campus Xalapa,Circuito Arco Sur S-N, Xalapa 91098, Veracruz, Mexico

[3] Univ Tecnol Mixteca, Inst Electon & Mecatron, Carretera Acatlima Km 2-5, Huajuapan De Leon 69000, Oaxaca, Mexico

[4] CONACyT Tecnol Nacl Mexico CENIDET, Interior Internado Palmira S-N, Cuernavaca 62490, Morelos, Mexico

来源：

DIGITAL SIGNAL PROCESSING | 2022年 / 126卷

关键词：

Nonlinear fractional-order Liouvillian systems; Generalized synchronization (GS); Chaotic systems; Caputo derivative; Riemann-Liouville integral; Data encryption; SIGNALS;

D O I：

10.1016/j.dsp.2022.103494

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this work, a class of chaotic nonlinear fractional systems of commensurate order called Liouvillian systems is considered to solve the problem of generalized synchronization. To solve this problem, the master and the slave systems are expressed in the Fractional Generalized Observability Canonical Form (FGOCF), then a fractional-order dynamical control law is designed to achieve the generalized synchronization. The encryption of color images is presented as an application to the proposed synchronization method, the encryption algorithm allows to decrypt data without loss. The synchronization and its applications are then illustrated with numerical examples. (C) 2022 Elsevier Inc. All rights reserved.

引用

页数：27

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