Stochastic dynamics of stochastic delay Duffing oscillator and sensitivity analysis to different types of signals

Abstract

Abstract In this paper, a stochastic delay differential system driven by the square wave signal is presented. The sensitivity of the system to different types of signals is evaluated by the dynamic behaviors of the system. The stochastic dynamic behaviors of the system is analyzed theoretically, and the theoretical chaotic threshold under different external excitation signals is deduced. The numerical simulation results show that the stochastic delay differential system is more sensitive to the square wave signals with the same frequency than the harmonic signal and the square wave signal with the different frequency.