The conference is dedicated to the 30th anniversary of the international scientific journal Regular and Chaotic Dynamics .

Dynamical systems theory (including integrability theory, chaos theory, celestial mechanics, and rigid body dynamics) is one of the central areas of modern mathematics and is closely related to other branches of mathematics and to problems in mechanics, physics, biology, economics, etc. The growing complexity of the fundamental and applied problems to be solved requires the development of this field of science in general and of new methods for studying dynamical systems in particular. From a general mathematical point of view, these issues are fundamental in nature, since they are related to the most general constructions in mathematics, mechanics and physics. Mathematical aspects developed by modern topological analysis methods within the framework of dynamical systems theory can be used in numerous physical applications (problems of the theory of nonholonomic systems, classical problems of vortex dynamics and motion of bodies in a fluid, celestial mechanics, etc.). The results obtained are also used in mechatronics and robotics, in particular, for the development of control systems for mobile robots and unmanned vehicles.

The purpose of the conference is to share scientific knowledge and experience among researchers in the fields of dynamical systems theory, theoretical mechanics, topology, control theory, and to discuss and search for innovative approaches to solving applied problems in the field of robotics and unmanned systems. Leading Russian and foreign experts in dynamical systems theory, as well as young researchers, will be invited to the conference to share their experiences and discuss new problems and avenues of research. The range of topics to be covered will include:

• Hamiltonian mechanics;
• integrable nonlinear systems;
• topological and qualitative methods of dynamic systems analysis;
• classical and celestial mechanics;
• vortex dynamics;
• chaos, bifurcations and fractals;
• nonholonomic dynamics and dynamics of many-body systems;
• applications of nonlinear dynamics to robotics;
• optimal control, sub-Riemannian geometry, and vaconomic mechanics.

Program

Abstracts

Organizers
Bolotin Sergey Vladimirovich
Kilin Aleksandr Aleksandrovich
Kozlov Valery Vasil'evich
Mamaev Ivan Sergeevich
Mironov Andrei Evgen'evich
Treschev Dmitry Valerevich

Financial support
The conference is supported by the Ministry of Science and Higher Education of the Russian Federation (the grant to the Steklov International Mathematical Center, agreement no. 075-15-2025-303, and the grant to Ural Mathematical Center, agreement no. 075-02-2025-1609).

Institutions
Steklov International Mathematical Center
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Ural Mathematical Center
Sirius Mathematics Center