一种新的具有光滑二次函数多涡卷混沌系统及其FPGA实现

A novel smooth quadratic multi-scroll chaotic system and its implementation based on FPGA

提出一类含有光滑二次函数的多涡卷混沌系统,该系统是对现有的多涡卷混沌系统的补充和完善。在多涡卷混沌系统中添加一个光滑二次函数,并对系统进行适当的修改,构造了一个新的具有光滑二次函数的多涡卷混沌系统。对系统平衡点进行了分析并作出Lyapunov指数谱、分岔图、相图以及对Poincaré截面进行了数值仿真,结果表明系统具有复杂的动力学特性。在IEEE-754标准下,利用FPGA设计了多涡卷混沌信号产生器,硬件实验结果与数值仿真结果相一致。

A family of multi-scroll chaotic systems with smooth quadratic function was presented in this paper,. These sys- tems are supplement and perfection for current multi-scroll chaotic systems. Based on a multi-scroll chaotic system, a novel multi-scroll chaotic system was constructed by properly modifying original system and appending a smooth quadratic function term. Through the analysis of the equilibrium points of the system and the numerical simulations for the Lyapunov exponent spectrum, bifurcation diagram, phase diagram and Poincar6 mapping, it showed that the system had complicated dynamic characteristics. Based on IEEE-754 standard, the multi-scroll chaotic signal generator was designed based on FPGA. The results of hardware experiments were in agreement with numerical simulations.