A multi-directional controllable multi-scroll conservative chaos generator: Modelling, analysis, and FPGA implementation
En-Zeng Dong(董恩增)1,†, Rong-Hao Li(李荣昊)1, and Sheng-Zhi Du(杜升之)2
1 Tianjin Key Laboratory for Control Theory & Applications in Complicated Systems, Tianjin University of Technology, Tianjin 300384, China; 2 Department of Electrical Engineering, Tshwane University of Technology, Pretoria 0001, South Africa
Abstract Combing with the generalized Hamiltonian system theory, by introducing a special form of sinusoidal function, a class of n-dimensional (n = 1,2,3) controllable multi-scroll conservative chaos with complicated dynamics is constructed. The dynamics characteristics including bifurcation behavior and coexistence of the system are analyzed in detail, the latter reveals abundant coexisting flows. Furthermore, the proposed system passes the NIST tests and has been implemented physically by FPGA. Compared to the multi-scroll dissipative chaos, the experimental portraits of the proposed system show better ergodicity, which have potential application value in secure communication and image encryption.
Fund: Project supported by the Natural Science Foundation of Tianjin, China (Grant No. 18JCYBJC87700) and the Natural Science Foundation of China (Grant No. 61603274).
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