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.
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Sifeu TAKOUGANG KINGNI developed the model and analyzed the data. Karthikeyan RAJAGOPAL performed the FPGA implementation. Serdar ÇIÇEK developed the sound encryption application. Ashokkumar SRINIVASAN and Anitha KARTHIKEYAN participated in the data analysis and FPGA implementation at different stages, and helped organize the manuscript. All authors contributed to the interpretation of the results. Sifeu TAKOUGANG KINGNI, Karthikeyan RAJAGOPAL, and Serdar ÇIÇEK drafted the manuscript. Sifeu TAKOUGANG KINGNI revised and finalized the paper.
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Sifeu TAKOUGANG KINGNI, Karthikeyan RAJAGOPAL, Serdar ÇIÇEK, Ashokkumar SRINIVASAN, and Anitha KARTHIKEYAN declare that they have no conflict of interest.
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Takougang Kingni, S., Rajagopal, K., Çiçek, S. et al. Dynamic analysis, FPGA implementation, and cryptographic application of an autonomous 5D chaotic system with offset boosting. Front Inform Technol Electron Eng 21, 950–961 (2020). https://doi.org/10.1631/FITEE.1900167
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DOI: https://doi.org/10.1631/FITEE.1900167
Key words
- Chaotic system
- Hopf bifurcation
- Coexistence of attractors
- Offset boosting
- FPGA implementation
- Sound encryption