四翼蝴蝶Lü吸引子的电路设计与实现

Circuit Design and Realization of Four-Wing Butterfly Lü Attractor

通过在三维Lü系统上加载一个单脉冲函数,提出了一个三维四翼Lü系统。新系统有四个指数2平衡点,可产生一个四翼蝴蝶吸引子。采用运算放大器和乘法器等模拟元器件设计了单脉冲函数电路和Lü系统电路,并利用数字示波器实验观察了四翼Lü系统电路产生的四翼蝴蝶吸引子。电路实验结果与数值仿真结果基本一致,验证了本文提出的四翼蝴蝶Lü吸引子电路实现的可行性。

By introducing a single pulse function to the three-dimensional Lü system,a three-dimensional four-wing Lü system is present.The new system has four index-2 equilibrium points,from which a four-wing butterfly attractor is evolved.By using analog components such as operational amplifier and multiplier etc.,the single pulse function circuit and Lü system circuit are designed,upon which the four-wing butterfly attractor generated from four-wing Lü system can be observed experimentally through a digital oscilloscope.The circuit experiment results are basic identical to numerical simulation results,which verify the circuit realization feasibility of the proposed four-wing butterfly Lü attractor.