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Regular version of the site

Laboratory of Topological Methods in Dynamics

Surface laminations and chaotic dynamical systems

Grines V., Zhuzhoma E. V.

M.; Izhevsk: 2021.

Classification of Morse–Smale diffeomorphisms with a finite set of heteroclinic orbits on surfaces

Morozov A., Pochinka O.

Moscow Mathematical Journal. 2023. Vol. 23. No. 4. P. 571-590.

Book chapter
Effective face recognition based on anomaly image detection and sequential analysis of neural descriptors

Sokolova A., Savchenko A.

In bk.: 2023 IX International Conference on Information Technology and Nanotechnology (ITNT). IEEE, 2023. P. 1-5.

Working paper
Classification of NMS-flows with unique twisted saddle orbit on orientable 4-manifolds

Galkin V., Pochinka O., Shubin D.

math. arXiv. Cornell University, 2023

The Laboratory of Topological Methods in Dynamics (TMD) was established in 2017 with personnel of the Department of Fundamental Mathematics of HSE of Nyzhny Novgorod as a basis. The Department was created in 2014, just after the launch of the new educational programme “Mathematics”. The core of the Department was made up of a group of research professors, who are actively working on the qualitative theory of dynamical systems and foliations as part of the school on nonlinear oscillations, founded by Andronov A.

From the moment of its foundation to the January of 2020, the head of the laboratory was Olga Vitalievna Pochinka.
In July 2019, the Laboratory of Topological Methods in Dynamics acquired international status.

Illustration for news: Results of HSE University’s Mirror Laboratories Contest Announced

Results of HSE University’s Mirror Laboratories Contest Announced

This year, HSE University held the Mirror Laboratories project contest for the fourth time. A total of 19 applications were submitted to the contest from 16 HSE University research departments partnered with 16 organisations from 14 Russian regions. Following the contest results, 10 research projects received support.

A neural network has been developed that simulates the behavior of a wide range of dynamical systems, including models of the Hodgkin-Huxley type, as well as ensembles based on them

About ongoing research

Illustration for news: CTAM 2022 in Vladivostok

CTAM 2022 in Vladivostok

About participation in conferences

Illustration for news: Participation in the Alferov Winter School 2022

Participation in the Alferov Winter School 2022

About participation in conferences

Development of a multiplex heterogeneous network of neurons contributing to the stabilization of the pathological oscillatory mode in the network

On ongoing research

The Russian Competition of Theses in Mathematics has finished

The results of the Russian Competition of Theses in Mathematics 2021 have been announced.

About participation in conferences

From May 30 to June 10, 2021, an researcher of the laboratory of topological methods in dynamics Bagautdinova E.R. took part in the Seventeenth International Interdisciplinary Congress "NEUROSCIENCE FOR MEDICINE AND PSYCHOLOGY" and the Scientific School "ACHIEVING INTERDISCIPLINARY NEUROSCIENCE IN THE XXI CENTURY", held in Sudak, Crimea.

Participance in 8th Europian Congress of Mathematics

A staff fellow of IL DSA and Department of Fundamental Mathematics took part in 8th Europian Congress of Mathematics.

Mini-symposium at the International Conference on Dynamical Systems

At the end of May 2021, researchers of the TMD laboratory N.V. Stankevich and the international DSPlaboratory Kazakov A.O. organized a mini-symposium within the framework of the internationalconference SIAM Conference on Applications of Dynamical Systems (DS21), held in a virtual format.

A trip to a conference "Nonlinear days in Saratov for young people"

At the end of the April of 2021 the staff of the international laboratory DSA and students of the Faculty of Informatics, Mathematics, and Computer Science took part in the conference in Saratov.