基于Simplorer的Duffing混沌系统电路仿真与研究

摘要

A simulation analysis method of Duffing chaotic system circuit based on Simplorer is presented. The Duffing system circuit level simulation is achieved by the restoring force modeling of Duffing chaotic system and other circuit element, such as sinusoidal voltage source, analog operational amplifiers, resistors and capacitors. In this paper, it focuses on the main factors influencing of Duffing system, which include the integrating link parameters of circuit, the different built-in excitation signal frequency, the different built-in excitation waveform, the different non-linear restoring force term coefficient have influence on, as well as different non-linear restoring force of the impact of the chaotic system. The simulation results show that integrating link parameters of circuit have high selectivity for the Duffing chaotic frequency detection, the lower detection limit of chaotic system circuit can be controlled by setting the different built-in excitation waveform and the different non-linear restoring force term coefficient, as well as the different non-linear restoring force system directly influence the detection sensitivity. Simultaneously, the simulation results demonstrate the correctness of circuit design with the comparison reference.%提出了一种基于Simplorer的Duffing混沌系统电路仿真分析方法.即通过vhdl-ams语言对混沌系统的恢复力项建模,并与正弦电压源、模拟运算放大器、电阻以及电容等实现Duffing混沌系统电路级仿真.研究了电路中积分环节参数、不同内置激励信号频率、不同内置激励波形、不同非线性恢复力项系数以及不同的非线性恢复力项对混沌系统影响.仿真结果表明:积分环节参数对Duffing混沌检测频率具有很强的选择性；不同的内置激励波形、不同非线性恢复力项系数直接影响Duffing系统电路的检测下限:不同的非线性恢复力项直接着影响系统检测灵敏度.同时,仿真实验结果还与相关参考文献相比较,论证了电路设计的正确性.