My doctoral thesis advocates the analysis of thermoacoustic systems by considering them as dynamical systems. I believe that such a change in perspective allows one to observe common features in different systems. Since my doctorate, this view has lead me to analyse thermoacoustic systems using both analytical and numerical tools from dynamical systems theory (Publications 1, 2, 3), systems theory (Publications 4 & 6) and control theory (Publications 5). My post-doctoral research centres around using tools to understand physical mechanisms that govern spatio-temporal patterns and emergent behaviours that occur in convective/shear flows of fluids, in the motion of active organelle laments on motility assays and in thermoacoustic interactions.