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D y n a m ic b if u r c a tio n s in n o n -s ta tio n a r y s y s te m s : tr a n s itio n s w ith a n u n p r e d ic ta b le o u tc o m e In nonlinear non-stationary systems, dynamic bifurcations result in a transition to a qualitatively new state. In this paper we examine how the dynamics of transition of such systems may be assessed using the concept of transient basins of attraction. We delineate the phenomenon of indeterminate dynamic bifurcations, where it is shown that the response,doi:10.1098/rspa.1995.0137 fatcat:hqzioc76h5gozenbaowhggpr4m