Simulation and research of Duffing chaotic system circuits based on Simplorer

摘要

A simulation analysis method of Duffing chaotic system circuit based on Simplorer 7.0 is presented. The circuit level simulation of Duffing chaotic system is achieved by modeling the non-linear restoring force term of Duffing chaotic system and other circuit element, such as sinusoidal voltage source, analog operational amplifiers, resistors and capacitors, etc. In this paper, it focuses on the main influencing factors of Duffing chaotic system, which include the integral parameters of circuit, the phase-frequency curves of Duffing chaotic system circuit, the different waveform of built-in excitation signal, the different coefficient of non-linear restoring force term, as well as the different non-linear restoring force term. The simulation results show that integral parameters of circuit have high selectivity for the Duffing chaotic frequency detection, and have the lower detection limit for chaotic system circuit by setting the different waveform of built-in excitation and the different coefficient of non-linear restoring force term, as well as the different non-linear restoring force directly influence the detection sensitivity of Duffing chaotic system circuit. Simultanously, the simulation results also demonstrates the correctness of Duffing chaotic system circuit.