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

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,...

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Bibliographic Details
Published in:Frontiers of information technology & electronic engineering 2020-06, Vol.21 (6), p.950-961
Main Authors: Takougang Kingni, Sifeu, Rajagopal, Karthikeyan, Çiçek, Serdar, Srinivasan, Ashokkumar, Karthikeyan, Anitha
Format: Article
Language:English
Subjects:
Chaos theory
Communications Engineering
Communications systems
Computer Hardware
Computer Science
Computer Systems Organization and Communication Networks
Cryptography
Data encryption
Electrical Engineering
Electronics and Microelectronics
Engineering
Equilibrium
Field programmable gate arrays
Hopf bifurcation
Instrumentation
Networks
Qualitative analysis
Stability analysis
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Summary: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.
ISSN:2095-9184
2095-9230
DOI:10.1631/FITEE.1900167