Prof. Felix Sadyrbaev
University of Latvia, Riga, Latvia

Title: On the Evolution in Time of Networks with Variable Interactions

Abstract: The system of ordinary differential equations of a special structure is considered. It describes the interaction of members of provisionally large networks. The interrelation between network members mathematically is built in a nonlinear multi-argument function f, the components of which are supposed to be sigmoidal, that is monotonically increasing and from one limit to another one possessing a single inflection point. The linear part without the nonlinear one leads the system to zero exponentially. This system is multi-parameter, and even the two-dimensional version contains ten parameters. The trajectories of a system are interpreted as the current state of a network. A variety of questions is associated with this topic, supported by the fact that provisional applications may be significant for the practice. The specific feature of this system is that it has a trap for the trajectories in a phase space. This causes the existence of multiple attractors of any rate of complexity. For practical purposes, the management and partial control over the system must be studied. The main thrust of the talk is the evolution in time of a modeled network. One of the remarkable features of the system is the assumption of time-varying interaction between elements. This assumption greatly diversifies the set of possible attractors.

Bio: Felix Sadyrbaev born USSR, Vladimir-Volynsk (Ukraine). Graduated from Latvian State University (Riga, former-USSR). Ph.D. in Mathematics from Belorussian State University (Minsk, 1982). Habilitation 1995, Latvian State University.

Work experience: Institute of Mathematics and Computer Science, University of Latvia 1978- present time. Head of the laboratory. Daugavpils University 1999- present time. Professor, director od doctorate programme in mathematics.

Scientific interest: Dynamical systems (boundary value problems, qualitative theory, optimization theory). Mathematical modeling (network theory, gene regulatory networks). Publications: Scholar >190, Scopus 106. Conferences and plenary talks: Multiple conferences at any level. Participation in International Congresses of Mathematicians (ICM 1998 (Berlin), 2002 (Beijing), 2010 (Bangalore-Hyderabad), 2014 (Seoul), 2018 (Sao Paulo-Rio de Janeiro) Delegate IMU GA 2010 (Bangalore), 2018 (Sao Paulo) from Latvian Mathematical Society. Memberships: Latvian Mathematical Society, American Mathematical Society. Honors: Nov 2021, Full member of Academy of Sciences of Latvia Member of Editorial Boards of several international mathematical journals.