ACDC Seminar by Ruben Sanchez-Garcia on the 13th of May

On the 13th of May at 16.00, Ruben Sanchez-Garcia will give an Amsterdam Dynamics Seminar. We will go for drinks at Bar Boele after the talk.

The talk will take place in the Maryam seminar room (9A-46).

Title: Equitability and synchronisation in networks and higher-order networks

Abstract: Cluster synchronisation is a key phenomenon observed in networks of coupled dynamical units. Its presence has been linked to symmetry and, more generally, to equability of the underlying pattern of interactions between dynamical units. In this talk, I will describe a natural linear independent condition such that equitability becomes necessary, and sufficient, for the existence of cluster synchronised solutions on a very general dynamical system which allows multiplex or higher-order, arbitrarily weighted interactions. Our results explain the ubiquity of explosive synchronisation, as opposed to cluster synchronisation, in multiplex and higher-order networks: equitability imposes additional constraints that must be simultaneously satisfied on the same set of nodes. This is joint work with Kirill Kovalenko, Gonzalo Contreras-Aso, Charo del Genio, and Stefano Boccaletti (https://www.nature.com/articles/s42005-026-02543-5). 

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