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A multi-directional controllable multi-scroll conservative chaos generator:Modelling,analysis,and FPGA implementation
作者姓名:董恩增  李荣昊  杜升之
作者单位:Tianjin Key Laboratory for Control Theory&Applications in Complicated Systems;Department of Electrical Engineering
基金项目:Project supported by the Natural Science Foundation of Tianjin,China(Grant No.18JCYBJC87700);the Natural Science Foundation of China(Grant No.61603274)。
摘    要: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.

关 键 词:multi-directional  controllable  multi-scroll  conservative  chaos  coexisting  flows  field  programmable  gate  array(FPGA)

A multi-directional controllable multi-scroll conservative chaos generator: Modelling,analysis, and FPGA implementation
En-Zeng Dong,Rong-Hao Li,Sheng-Zhi Du.A multi-directional controllable multi-scroll conservative chaos generator:Modelling,analysis,and FPGA implementation[J].Chinese Physics B,2021(2).
Authors:En-Zeng Dong  Rong-Hao Li  Sheng-Zhi Du
Institution:(Tianjin Key Laboratory for Control Theory&Applications in Complicated Systems,Tianjin University of Technology,Tianjin 300384,China;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.
Keywords:
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