We present a fractional-order three-dimensional chaotic system, which can generate four-wing chaotic attractor. Dy- namics of the fractional-order system is investigated by numerical simulations. To rigorously verify ...We present a fractional-order three-dimensional chaotic system, which can generate four-wing chaotic attractor. Dy- namics of the fractional-order system is investigated by numerical simulations. To rigorously verify the chaos properties of this system, the existence of horseshoe in the four-wing attractor is presented. Firstly, a Poincar6 section is selected properly, and a first-return Poincar6 map is established. Then, a one-dimensional tensile horseshoe is discovered, which verifies the chaos existence of the system in mathematical view. Finally, the fractional-order chaotic attractor is imple- mented physically with a field-programmable gate array （FPGA） chip, which is useful in further engineering applications of information encryption and secure communications.展开更多
以非线性组合函数和线性反馈移位寄存器(LFSR:L inear Feedback Sh iftRegisters)为基础,利用可编程逻辑门阵列(FPGA:F ield-Programm ab le Gate Array)设计了一个高速加密芯片。该芯片既能满足密码学领域对密钥序列的高质量要求,又能...以非线性组合函数和线性反馈移位寄存器(LFSR:L inear Feedback Sh iftRegisters)为基础,利用可编程逻辑门阵列(FPGA:F ield-Programm ab le Gate Array)设计了一个高速加密芯片。该芯片既能满足密码学领域对密钥序列的高质量要求,又能满足保密通信领域高速度要求。介绍了加密芯片的设计理论、设计过程、加密芯片安全性分析和硬件实现,最后对密钥流进行了随机性统计测试。展开更多
基金Project supported by the National Natural Science Foundation of China(Grant Nos.61502340 and 61374169)the Application Base and Frontier Technology Research Project of Tianjin,China(Grant No.15JCYBJC51800)the South African National Research Foundation Incentive Grants(Grant No.81705)
文摘We present a fractional-order three-dimensional chaotic system, which can generate four-wing chaotic attractor. Dy- namics of the fractional-order system is investigated by numerical simulations. To rigorously verify the chaos properties of this system, the existence of horseshoe in the four-wing attractor is presented. Firstly, a Poincar6 section is selected properly, and a first-return Poincar6 map is established. Then, a one-dimensional tensile horseshoe is discovered, which verifies the chaos existence of the system in mathematical view. Finally, the fractional-order chaotic attractor is imple- mented physically with a field-programmable gate array （FPGA） chip, which is useful in further engineering applications of information encryption and secure communications.
文摘以非线性组合函数和线性反馈移位寄存器(LFSR:L inear Feedback Sh iftRegisters)为基础,利用可编程逻辑门阵列(FPGA:F ield-Programm ab le Gate Array)设计了一个高速加密芯片。该芯片既能满足密码学领域对密钥序列的高质量要求,又能满足保密通信领域高速度要求。介绍了加密芯片的设计理论、设计过程、加密芯片安全性分析和硬件实现,最后对密钥流进行了随机性统计测试。
