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 ORCID:

Sifeu Takougang Kingni

http://orcid.org/0000-0003-1547-6856

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Frontiers of Information Technology & Electronic Engineering  2020 Vol.21 No.6 P.950-961

http://doi.org/10.1631/FITEE.1900167


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


Author(s):  Sifeu Takougang Kingni, Karthikeyan Rajagopal, Serdar Çiçek, Ashokkumar Srinivasan, Anitha Karthikeyan

Affiliation(s):  Department of Mechanical, Petroleum and Gas Engineering, Faculty of Mines and Petroleum Industries, The University of Maroua, Maroua P.O. Box 46, Cameroon; more

Corresponding email(s):   stkingni@gmail.com

Key Words:  Chaotic system, Hopf bifurcationn, Coexistence of attractors, Offset boosting, FPGA implementation, Sound encryption


Sifeu Takougang Kingni, Karthikeyan Rajagopal, Serdar Çiçek, Ashokkumar Srinivasan, Anitha Karthikeyan. 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.

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author="Sifeu Takougang Kingni, Karthikeyan Rajagopal, Serdar Çiçek, Ashokkumar Srinivasan, Anitha Karthikeyan",
journal="Frontiers of Information Technology & Electronic Engineering",
volume="21",
number="6",
pages="950-961",
year="2020",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.1900167"
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%A Karthikeyan Rajagopal
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%A Ashokkumar Srinivasan
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A1 - Anitha Karthikeyan
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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.

偏置增强自主五维混沌系统动态分析、FPGA实现及加密应用

Sifeu TAKOUGANG KINGNI1, Karthikeyan RAJAGOPAL2, Serdar ÇIÇEK3, Ashokkumar SRINIVASAN4, Anitha KARTHIKEYAN2
1马鲁阿大学矿山与石油工业学院机械、石油与天然气工程系,喀麦隆马鲁阿市,46号信箱
2孙德胜大学电气电子工程学院,越南胡志民市,758307
3内夫谢希尔哈吉贝克塔什大学哈吉贝克塔什职业学院电气自动化系,土耳其哈吉贝克塔什,50800
4国防大学非线性动力学中心,埃塞俄比亚德布雷塞特,6020

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。

关键词:混沌系统;霍普夫分岔;共存吸引子;偏置增强;FPGA实现;声音加密

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

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