[en] A study is made of the ray dynamics in a system consisting of a spherical plasma cloud located asymmetrically in a spherical conducting cavity. In this system, the ray trajectories can be divided into stochastic trajectories, which essentially completely cover the phase space, and regular trajectories, which stay inside isolated regions. The correlation coefficients for the rays are found, the distribution function over the directions of rays with stochastic trajectories are evaluated, and the structure of regular trajectories is investigated