CRM: Centro De Giorgi
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Modeling, analysis, and control of multi-agent systems across scales

Self-organizing equilibria and their local stability in a Kuramoto mean field game

speaker: Annalisa Cesaroni (Università di Padova)

abstract: Recently a Mean Field Game version of the classical Kuramoto model has been proposed, which describes synchronization phenomena in a large population of rational interacting oscillators. The MFG model exhibits several stationary equilibria, but the characterization of these equilibria and their ability to capture dynamic equilibria in long time remains largely open. In this talk, I will discuss existence and uniqueness (up to phase transition) the incoherent equilibrium and the self-organizing equilibrium, given that the interaction parameter is sufficiently large. Furthermore, I will also present some local stability properties of the self-organizing equilibrium.Based on a joint work with Marco Cirant (Padova).


timetable:
Thu 25 Jan, 16:40 - 17:30, Aula Dini
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