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Lectures of leading scientists at the Ural Mathematical Center

From December 8 to December 10, a course of lectures on the theory of dynamical systems was organized by the Ural Mathematical Center at the Udmurt State University. The lectures were delivered by invited leading scientists. In view of the unfavorable epidemiological situation, the lectures were held remotely via zoom.

Professor of the Department of Fundamental Mathematics, Chief Researcher of the International Laboratory of Dynamical Systems and Applications at Faculty of Informatics, Mathematics, and Computer Science (HSE Nizhny Novgorod) Vyacheslav Grines gave a course of lectures on the topological features of dynamical systems with discrete and continuous time:

1. 1. Rough dynamical systems on a disk. Scheme of Leontovich-Maier. Structurally stable systems on surfaces. Peixoto graph
2. 2. Recurrent trajectories on torus. Topological classification of rough diffeomorphisms on the circle
3. 3. On interrelation of regular and chaotic dynamics with topology of an ambient manifold - part I, part II, part III



Associate Professor of the Department of Fundamental Mathematics, Leading Researcher of the International Laboratory of Dynamical Systems and Applications at Faculty of Informatics, Mathematics, and Computer Science (HSE Nizhny Novgorod) Alexey Kazakov gave a course of lectures on chaotic attractors and mixed dynamics:

1. 1. Pseudohyperbolic attractors.
2. 2. On scenarios of birth of chaotic and hyperchaotic homoclinic attarctors.
3. 3. Mixed Dynamics of reversible systems.



The event has been supported by the Ministry of Science and Higher Education (project 075-02-2021-1383)