类Chen系统设计及其FPGA实现

Design of Chen-like system and its FPGA implementation

为了获取拓扑结构和动力学行为更为复杂的类Chen混沌吸引子,该文基于Chen系统,通过引入1个可变系数的乘积项和1个可变系数的平方项,构建了1个新的三维混沌自治系统。数值仿真分析显示,该系统具有奇特的动力学行为,含有1个局部调幅参数,分岔(Bifurcation)图和李雅谱诺夫(Lyapunov)指数谱图显示了其变化情况。在现场可编程门阵列(FPGA)平台上利用寄存器传输级(RTL)描述电路,以32位定点数运算实现该混沌系统。数值仿真和硬件实现结果一致,验证了该三维混沌自治系统的鲁棒性及物理可实现性。

To achieve a Chen-like chaotic attractor with more complex topological structure and dynamic behaviors,a new three-dimensional autonomous chaotic system is constructed by introducing a variable coefficient product term and a variable coefficient quadratic term in the Chen system. Numerical simulation shows that this system has peculiar dynamic behaviors demonstrated by Bifurcation diagrams and Lyapunov exponent spectrums,and has a partial amplitude modulation parameter.The circuit of the system is realized efficiently on the register transfer level（ RTL） of the field programmable gate array（ FPGA）,and the chaotic system proposed here is realized using 32-bit fixed-point operation. The numerical simulation result is in accord with the hardware emulation result,and the robustness and physical realizability of this system is verified.