Transient dynamics in a quasiperiodically forced nonsmooth dynamical system

Transient chaos is very common in periodically forced dynamical systems, but transient strange nonchaotic dynamics have not been studied by researchers. Therefore, it is meaningful to explore the dynamical phenomena of transient chaos and transient strange nonchaos. In this paper, we investigate a quasiperiodically forced cantilever beam system with impacts and discover abundant transient dynamic phenomena. Firstly, we determine the transient interval by the bifurcation diagram and the maximum Lyapunov exponent and investigate the correspondence between them. Secondly, we identify transient chaos and transient strange nonchaos and distinguish transient attractors and permanent attractors using the maximum Lyapunov exponent. Furthermore, we verify the strange property of attractors through the phase sensitivity and the power spectrum.