036w: Regular and Chaotic Dynamics

Valery Kozlov, Steklov Institute of Mathematics

Dmitry Treschev, Steklov Institute of Mathematics

Sergey Bolotin, Steklov Institute of Mathematics

Ivan Mamaev, Kalashnikov Izhevsk State Technical University

Alexander Kilin, Udmurt State University

27 November 2023 - 01 December 2023

Nowadays, research in the area of mathematics, dynamics and integrable systems involves a complex integrated variety of sciences dealing with dynamical systems. The wide introduction of computers and experimental facilities allows calculations of complex phenomena and experimental verification of previously predicted phenomena relating to rigid body dynamics, motions of fluids, etc. The use of modern analytical, computer-aided and experimental methods makes it possible to achieve a new level of research on real dynamical dissipative systems, to solve the problems of controlling dynamical systems under real conditions, which is a guarantee for further innovations in the area of mechatronics and robotics.

The aim of the conference is to promote scientific knowledge and experience among researchers in dynamical systems theory, theoretical mechanics, topology, control and to discuss and search for innovative approaches in solving applied problems in the announced subject area. Both leading Russian and foreign specialists in dynamical systems theory and young researchers will give talks at the conference to exchange experience and discuss new problems and research directions.

The major areas to be covered include:

• Hamiltonian mechanics;
• symmetries, conservation laws, integrable systems;
• nonintegrability and deterministic chaos;
• theory of stability and bifurcations of dynamical systems;
• optimal control, sub-Riemannian geometry, vakonomic mechanics, etc.
• classical and celestial mechanics;
• vortex dynamics;
• nonholonomic dynamics and dynamics of many-body systems;
• applications of nonlinear dynamics to robotics.