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Regular version of the site

Laboratory Staff Visited German Colleagues

From 14 to 26 of April Leading Researcher of the Laboratory Alexey Kazakov visited Professor Arkady Pikovsky at the University of Potsdam, Germany. 

During the visit they worked on a joint article, that aimed to develop methods for quantitative assessment of the distinctiveness of the attractor from the repeller in case they intersect. 

The importance of this problem lies in the fact that the phenomenon of mixed dynamics, when the attractor intersects with the repellent, but does not coincide with it, is widely available in various tasks, including more applicable ones (nonholonomic models of solid body motion: Celtic stone, Chaplygins gyroscope, Suslov gyroscope, vortex models of hydrodynamics, and also models of coupled oscillators). 

The development of qualitative and quantitative methods to help the study of this phenomenon is a task, which Alexey and his colleagues are trying to solve. Currently, one of the working hypotheses concerns the possibility for using the method of dimension measurement and distance judgment between sets. 

Also, during the visit, Alexey made a talk on "Pseudohyperbolic attractors and their examples" at the seminar of the Faculty of Physics.