Dynamic analysis, FPGA implementation, and cryptographic application of an autonomous 5D chaotic system with offset boosting

Sifeu TAKOUGANG KINGNI; Karthikeyan RAJAGOPAL; Serdar IEK; Ashokkumar SRINIVASAN; Anitha KARTHIKEYAN

doi:10.1631/FITEE.1900167

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Dynamic analysis, FPGA implementation, and cryptographic application of an autonomous 5D chaotic system with offset boosting

Regular Papers | Updated：2022-05-19

- Dynamic analysis, FPGA implementation, and cryptographic application of an autonomous 5D chaotic system with offset boosting
- 偏置增强自主五维混沌系统动态分析、FPGA实现及加密应用
- Frontiers of Information Technology & Electronic Engineering Vol. 21, Issue 6, Pages: 950-961(2020)
- Affiliations：
  
  Department of Mechanical, Petroleum and Gas Engineering, Faculty of Mines and Petroleum Industries, The University of Maroua, Maroua P.O. Box 46, Cameroon
  Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam
  Department of Electronic and Automation, Vocational School of Hacbekta, Nevehir Hacbekta Veli University, Hacbekta 50800, Turkey
  Center for Nonlinear Dynamics, Defence University, Bishoftu 6020, Ethiopia
- Author bio：
  
  Sifeu TAKOUGANG KINGNI, E-mail: stkingni@gmail.com
- Funds：
- DOI：10.1631/FITEE.1900167
  CLC： TN79
- Received：26 March 2019，
  
  Revised：2020-;5-;7，
  
  Published：2020-06
- Accepted：
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Sifeu TAKOUGANG KINGNI, Karthikeyan RAJAGOPAL, Serdar IEK, et al. Dynamic analysis, FPGA implementation, and cryptographic application of an autonomous 5D chaotic system with offset boosting[J]. Frontiers of Information Technology & Electronic Engineering, 2020, 21(6): 950-961.
DOI：

Sifeu TAKOUGANG KINGNI, Karthikeyan RAJAGOPAL, Serdar IEK, et al. Dynamic analysis, FPGA implementation, and cryptographic application of an autonomous 5D chaotic system with offset boosting[J]. Frontiers of Information Technology & Electronic Engineering, 2020, 21(6): 950-961. DOI： 10.1631/FITEE.1900167.

摘要

通过改进著名的三维自主Liu&Chen系统，建立偏置增强的自主五维系统。找到该自主五维系统平衡点，并分析其稳定性。该系统包含霍普夫分岔、周期吸引子、准周期吸引子、单涡旋混沌吸引子、双涡旋混沌吸引子、共存吸引子、双稳现象、部分幅度控制偏置增强、逆周期倍增和间歇性混沌路径。利用现场可编程门阵列（FPGA）实现该自主五维系统，并给出相图验证数值仿真结果。由FPGA实现的混沌吸引子及共存吸引子与数值仿真的混沌吸引子性质吻合较好。最后，设计一个基于该自主五维混沌系统的声音数据加密和通信系统，通过数值示例展示其性能。

Abstract

An autonomous five-dimensional (5D) system with offset boosting is constructed by modifying the well-known three-dimensional autonomous Liu and Chen system. Equilibrium points of the proposed autonomous 5D system are found and its stability is analyzed. The proposed system includes Hopf bifurcation

periodic attractors

quasi-periodic attractors

a one-scroll chaotic attractor

a double-scroll chaotic attractor

coexisting attractors

the bistability phenomenon

offset boosting with partial amplitude control

reverse period-doubling

and an intermittency route to chaos. Using a field programmable gate array (FPGA)

the proposed autonomous 5D system is implemented and the phase portraits are presented to check the numerical simulation results. The chaotic attractors and coexistence of the attractors generated by the FPGA implementation of the proposed system have good qualitative agreement with those found during the numerical simulation. Finally

a sound data encryption and communication system based on the proposed autonomous 5D chaotic system is designed and illustrated through a numerical example.

关键词

Keywords

references

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