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Regular version of the site

International Laboratory of Dynamical Systems and Applications

Publications
Article
On existence of global attractors of foliations with transverse linear connections
In press

Zhukova N.

Differential Geometry and its Applications, Nederlands. 2020.

Working paper
Feynman type formulas for Feller semigroups in Riemannian manifolds

Mazzucchi S., Moretti V., Remizov I. et al.

math. arxive. Cornell University, 2020

The International Laboratory of Dynamic Systems and Applications was created as part of the Megagrant 220 project of the Government of the Russian Federation in December 2019. The laboratory's supervisor is Dmitry Turaev, a renowned specialist in the mathematical theory of dynamical systems.

The core of the team is a group of faculty members who are actively involved in the qualitative theory of dynamical systems and applications in the framework of the school of nonlinear oscillations created by academician A.A. Andronov. The Nizhny Novgorod school, which Dmitry Turaev belongs to, was and remains the leader in the theory of dynamical systems due to the unique combination of rigorous methods of topological and geometric analysis with applied research on nonlinear physical phenomena.

The main aims of the laboratory are to strengthen international relations and the prestige of the school, diversify and update research projects, organize effective cooperation between representatives of various disciplines, and support early career scientists.

Solitons and cavitons for the nonlocal Whitham equations

About ongoing research.

Soliton and caviton solutions for the non-local Whitham equation

About current research

Competition of the RSF

The project of the laboratory Researcher won a competition of the RSF

Article in magazine Chaos

Article of research assistant V.G. Chigarev, leading research fellow A.O. Kazakov and chief research fellow A. Pikovsky published in the journal "Chaos: An Interdisciplinary Journal of Nonlinear Science"

Talks on "THE INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS 2020"

From 3 to 8 July the staff of the International Laboratory of Dynamical Systems and Applications and Department of Fundamental Mathematics took part in the "International Conference on Differential Equations and Dynamical Systems 2020", which was held online.

Research of manifolds of Morse-Smale diffeomorphisms

About ongoing research.

Collaboration with the HSE MIEM

About ongoing research

Conference dedicated to Ch. Bonatti

Participation of laboratory staff in an international online conference

Workshop on the theory of singularities

About the report of O.V. Pochinka at the workshop on singularity theory of the Federal University of Ceará (Universidade Federal do Ceará, UFC), Fortaleza, Brazil.

Appeal of a mathematician (Associate Professor of the Higher School of Economics Ivan Remizov) to students and colleagues

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