As the main results obtained in the field of classical chaos I would like to mention: the discovery of slow power law decay of correlations and Poincaré recurrences in the system with divided phase space (with Chirikov, refs. [5,18,30,34]), numerical observation of the modulational diffusion and the development of the theory of this phenomenon (refs.[4,6,19]), investigation of the dynamics of the classical homogeneous Yang-Mills fields which for the first time showed that the dynamics of Yang-Mills fields has a positive Lyapunov exponent and is chaotic (refs.[7,8]), observation of breakdown of universality in renormalization dynamics for critical invariant torus with two frequencies (refs. [47, 56]).