Faculty of Mathematics, Physics
and Informatics
Comenius University Bratislava

Seminar on Qualitative Theory of Differential Equations - Richard Kollár (30.3.2023)

Thursday 30.3.2023 at 14:00, Lecture room M 223

22. 03. 2023 15.59 hod.
By: Pavol Quittner

Richard Kollár:
Self-organization in multi-lane traffic model

Self-organization is a property of many systems in biology, sociology, economics or telecommunications. Conflicts within the system are resolved by moving to other territories, networks and channels. We study self-organization in a model stochastic system of individuals moving on a circular track. The model is a modification of a system studied by Goldsztein (2017, 2020) but it cannot be treated by the same method as it changes the number of states from finite to infinity. We prove the certainty of self-organization in the system. Quite unexpectedly, the model leads to generalizations and connections with other problems.

This is a joint work with Kamila Friedrichova, Jan Glut (Bc. students).

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