Seminario Dottorato 2020/21 - Sara Galasso (09.06.2021)
From Corrado Marastoni on June 9th, 2021
In this seminar we shall focus on mechanical systems, having in mind, in particular, systems of coupled pendula. To construct a physical-mathematical model able to describe synchronicity patterns in their evolution, classical tools from dynamical systems theory are essential. We will therefore recall the basic notions of invariant manifold and stability, as well as some results that will allow us to investigate, at an introductory level, the long-time asymptotic behaviour.
Along with the theory, we will provide examples and examine simple models which should help us visualize some fundamental mechanisms underlying synchronization.