VVISO DI SEMINARIO



Il Professore Henrique Manuel Oliveira  dello Instituto Superior Técnico (Dipartimento di Matematica), Università di Lisbona,  martedì 16 luglio, alle ore 11:00, nell’aula G (ex Psicologia) del Dipartimento di Matematica e Fisica della Università degli Studi della Campania “Luigi Vanvitelli”, terrà il seguente seminario

 "Huygens synchronisation of three clocks equidistant from each other"

ABSTRACT: This is a joint work with Emma D’Aniello. We study the synchronisation of three identical oscillators, i.e., clocks, hanging from the same hard support. We consider the case where each clock interacts with the other two clocks. The synchronisation is attained through the exchange of small impacts between each pair of oscillators. The fundamental result we find is that the final locked state is at phase difference of 2/3 \pi  from successive clocks (clockwise or counter-clockwise). Moreover, the locked states attract a set whose closure is the global set of initial conditions. The methodology of our analysis consists in the construction a model, which is a non-linear discrete dynamical system, i.e. a non-linear difference equation. The results are extendable to any set of three oscillators under mutual symmetric interaction, despite the particular models of the oscillators.