Analysis of non-linear systems using wavelets

Analysis of non-linear systems is an essential part of engineering structur al dynamics. A number of methods have been developed in recent years. Class ical Fourier-based methods have been extended to the use of phase plane, co mbined time-frequency, time-scale approaches and multidimensional spectra. This paper is an attempt to collate in one place some of the recent advance s in wavelet analysis for the study of non-linear systems. This includes me thods related to system identification based on wavelet ridges and skeleton s, damping estimation procedures, wavelet-based frequency response function s, cross-wavelet analysis, self-similar signals, coherent structures and ch aos.