205 Analysis for jump phenomena in random responses of a Duffing oscillator using wavelet transforms : 2nd report, Analysis by complex wavelet transform

Abstract

Stochastic jump phenomena in the random responses of a Duffing oscillator subjected to narrow band excitation are investigated. The stochastic jump phenomena correspond to the existence of multiple stationary responses, which differ in phase angle to the excitation. In this paper, the product of complex wavelet transform of the response and the complex conjugate of that of the excitation is used to evaluate phase angle of each frequency. Numerical examples show that the product successfully identifies two states of the response, as well as the previously proposed criterion using real wavelet transform.