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The Ergodic Theory of Dynamical systems is a branch of the theory of Differential Equations. It was founded as a separate discipline by Poincare, and developed by Birkhoff and Smale. Substancial contributions were made by mathematicians of the Moscow school, e.g. Kolmogorov, Arnold, Alekseev, Anosov, Sinai, and others. The proposed course is an introduction to the subject. It contains a survey of the field. The basic theorems are proved; the ideas of the proofs of more difficult results are explained without technical details. Prerequisites: introductory course to Ordinary Differential Equations. Curriculum:
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