The Rabinovich system, describing the process of interaction between waves in plasma, is considered. It is shown that the Rabinovich system can exhibit a { hidden attractor} in the case of multistability as well as a classical { self-excited attractor}. The hidden attractor in this system can be localized by analytical-numerical methods based on the { continuation} and { perpetual points}. For numerical study of the attractors' dimension the concept of { finite-time Lyapunov dimension} is developed. A conjecture on the Lyapunov dimension of self-excited attractors and the notion of { exact Lyapunov dimension} are discussed. A comparative survey on the computation of the finite-time Lyapunov exponents by different algorithms is presented and an approach for a reliable numerical estimation of the finite-time Lyapunov dimension is suggested. Various estimates of the finite-time Lyapunov dimension for the hidden attractor and hidden transient chaotic set in the case of multistability are given.
Categories: nlin.CD