  We establish the existence of a bifurcation from an attractive random
equilibrium to shear-induced chaos for a stochastically driven limit cycle,
indicated by a change of sign of the first Lyapunov exponent. This addresses an
open problem posed by Kevin Lin and Lai-Sang Young, extending results by
Qiudong Wang and Lai-Sang Young on periodically kicked limit cycles to the
stochastic context.
