The propagation of strong pressure pulses in bubbly liquids, the transition to chaotic behavior in dynamical systems, and the development of new experimental methods of investigation motivate recent interest in large‐amplitude forced bubble oscillations. The results of some numerical and analytical investigations of simple mechanical models of the phenomenon will be reviewed. Physical processes not accounted for in these studies, namely the compressibility of the liquid and the complex thermal processes taking place in the bubble, will then be discussed by means of suitable modification of the available theoretical formulations. Numerical results will be presented showing the importance of these effects in large‐amplitude motion. An application to the damping of pressure pulses in bubbly liquids concludes the presentation. [Work supported in part by ONR and NSF.]