Translation of: Dinamicheskie sistemy, issued as part of the series: Itogi nauki i tekhniki. Serii︠a︡ Sovremennye problemy matematiki.

Includes bibliographies and indexes.

1. Ordinary differential equations and smooth dynamical systems / D.V. Anosov, V.I. Arnold -- 2. Ergodic theory with applications to dynamical systems and statistical mechanics / Ya. G. Sinai (ed.) -- 3. [pt. 1.] [Without special title] -- 3. [pt. 2] Mathematical aspects of classical and celestial mechanics / V.I. Arnold (ed.) 2nd ed., 1993 -- 4. Symplectic geometry and its applications / V.I. Arnolʹd, S.P. Novikov (eds.) -- 5. Bifurcation theory and catastrophe theory / V.I. Arnolʹd (ed.) -- 6. Singularity theory I / V.I. Arnolʹd (ed.) -- 7. Integrable systems, nonholonomic dynamical systems / V.I. Arnolʹd, S.P. Novikov (eds.). -- 8. Singularity theory II / V.I. Arnolʹd (ed.) ₋₋ 9. Dynamical systems with hyperbolic behaviour / D.V. Anosov (ed.) -- 10. General theory of vortices / V.V. Kozlov