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Conference "Nanoelectronics, Nanophotonics and Nonlinear Physics"

Participation in conferences

Science 8 to 10 September 2020, staff of the laboratory of topological methods in dynamics Bagautdinova E.R., Stankevich N.V. took part in the XV Scientific Conference of Young Scientists "Nanoelectronics, Nanophotonics and Nonlinear Physics", held on the basis of the Saratov branch of Kotel'nikov's Institute of Radio Engineering and Electronics of RAS.

 

Senior researcher N.V. Stankevich made an oral presentation Stankevich N.V., Sataev I.R., Volkov E.I. "Chaos with an additional zero Lyapunov exponent (quasiperiodic Hénon attractor) in a system of three coupled repressilators." The talk was about the dynamics of three coupled repressilators, and a specific type of chaotic attractors, characterized by one positive, two zero, and nine negative Lyapunov exponents. The scenario of the occurrence of this type of attractor via the absorption of saddle tori arising as a result of a cascade of doubling bifurcations is investigated. These results were obtained within the framework of the RFBR project 19-31-60030 and were partially published in the paper by N.V. Stankevich, E. I. Volkov. Evolution of quasiperiodicity in quorum-sensing coupled identical Repressilators Chaos: An Interdisciplinary Journal of Nonlinear Science CHAOS. 2020. Vol.30. No.04, pp. 043122.

 

Assistant research Bagautdinova E.R. made a poster presentation: E.R. Bagautdinova, N.V. Stankevich "Bistability in a neuron model with a non-monotonic ion channel characteristic." The report presents the results of a study of the dynamics of a single neuron model of the Hodgkin-Huxley-type. The considered model takes into account an ion channel with a communication defect, as a result of which bistability arises in the system between a typical burst attractor and a stable steady state. The probabilistic characteristics of the manifestation of the equilibrium state depending on the type of stable point was investigated. The results presented on the poster were obtained within the framework of the RSF grant 20-71-10048.