Finite-time complex projective synchronization of fractional-order complex-valued uncertain multi-link network and its image encryption application

doi:10.1088/1674-1056/ac7869

中国物理B ›› 2022, Vol. 31 ›› Issue (11): 110501-110501.doi: 10.1088/1674-1056/ac7869

Finite-time complex projective synchronization of fractional-order complex-valued uncertain multi-link network and its image encryption application

Yong-Bing Hu(胡永兵)¹, Xiao-Min Yang(杨晓敏)¹, Da-Wei Ding(丁大为)^1,2,†, and Zong-Li Yang(杨宗立)¹

1 School of Electronics and Information Engineering, Anhui University, Hefei 230601, China;
2 National Engineering Research Center for Agro-Ecological Big Data Analysis&Application, Anhui University, Hefei 230601, China

收稿日期:2022-05-04 修回日期:2022-06-07 接受日期:2022-06-14 出版日期:2022-10-17 发布日期:2022-10-21
通讯作者: Da-Wei Ding E-mail:dwding@ahu.edu.cn

Finite-time complex projective synchronization of fractional-order complex-valued uncertain multi-link network and its image encryption application

Yong-Bing Hu(胡永兵)¹, Xiao-Min Yang(杨晓敏)¹, Da-Wei Ding(丁大为)^1,2,†, and Zong-Li Yang(杨宗立)¹

1 School of Electronics and Information Engineering, Anhui University, Hefei 230601, China;
2 National Engineering Research Center for Agro-Ecological Big Data Analysis&Application, Anhui University, Hefei 230601, China

Received:2022-05-04 Revised:2022-06-07 Accepted:2022-06-14 Online:2022-10-17 Published:2022-10-21
Contact: Da-Wei Ding E-mail:dwding@ahu.edu.cn

摘要/Abstract

摘要： Multi-link networks are universal in the real world such as relationship networks, transportation networks, and communication networks. It is significant to investigate the synchronization of the network with multi-link. In this paper, considering the complex network with uncertain parameters, new adaptive controller and update laws are proposed to ensure that complex-valued multilink network realizes finite-time complex projective synchronization (FTCPS). In addition, based on fractional-order Lyapunov functional method and finite-time stability theory, the criteria of FTCPS are derived and synchronization time is given which is associated with fractional order and control parameters. Meanwhile, numerical example is given to verify the validity of proposed finite-time complex projection strategy and analyze the relationship between synchronization time and fractional order and control parameters. Finally, the network is applied to image encryption, and the security analysis is carried out to verify the correctness of this method.

关键词: multi-links network, fractional order, complex-valued network, finite-time complex projective synchronization, image encryption

Abstract: Multi-link networks are universal in the real world such as relationship networks, transportation networks, and communication networks. It is significant to investigate the synchronization of the network with multi-link. In this paper, considering the complex network with uncertain parameters, new adaptive controller and update laws are proposed to ensure that complex-valued multilink network realizes finite-time complex projective synchronization (FTCPS). In addition, based on fractional-order Lyapunov functional method and finite-time stability theory, the criteria of FTCPS are derived and synchronization time is given which is associated with fractional order and control parameters. Meanwhile, numerical example is given to verify the validity of proposed finite-time complex projection strategy and analyze the relationship between synchronization time and fractional order and control parameters. Finally, the network is applied to image encryption, and the security analysis is carried out to verify the correctness of this method.

Key words: multi-links network, fractional order, complex-valued network, finite-time complex projective synchronization, image encryption

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

05.45.Xt (Synchronization; coupled oscillators)

Yong-Bing Hu(胡永兵), Xiao-Min Yang(杨晓敏), Da-Wei Ding(丁大为), and Zong-Li Yang(杨宗立). Finite-time complex projective synchronization of fractional-order complex-valued uncertain multi-link network and its image encryption application[J]. 中国物理B, 2022, 31(11): 110501-110501.

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Finite-time complex projective synchronization of fractional-order complex-valued uncertain multi-link network and its image encryption application

Finite-time complex projective synchronization of fractional-order complex-valued uncertain multi-link network and its image encryption application

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