Non-singular solutions of a Rayleigh-Plesset equation under a periodic pressure field

In this paper we prove the existence of infinitely many non-singular subharmonic solutions, as well as the presence of complex dynamics, for the equation with singularity ü + g1uβ-g2uγ = h0(t)uδ, where h0(t) is a T-periodic stepwise function. Our result is stable with respect to small perturbations and can be applied to the Rayleigh-Plesset equation governing the dynamics of a bubble immersed in an infinite domain of liquid. © 2015 Elsevier Inc.