[institut] SCL seminar: Iva Bačić, Thursday, 28 August, 14:00

[Marija Mitrovic Dankulov]

Dear colleagues,

You are cordially invited to the SCL seminar of the Center for the Study 
of Complex Systems, which will be held on Thursday, 28 August 2025 at 
14:00 in the "Zvonko Mariić" lecture hall of the Institute of Physics 
Belgrade. The talk entitled

Phase locking and multistability in the topological Kuramoto model on 
cell complexes

will be given by Dr. Iva Bačić (Forschungszentrum Juelich). The abstract 
of the talk:

The topological Kuramoto model generalizes classical synchronization 
theory to higher-order interactions, with oscillator dynamics defined on 
cells of arbitrary dimension within simplicial or cell complexes. While 
previous work has largely focused on simplicial complexes, many natural 
and engineered systems are better described by cell complexes. We 
develop an algorithm that identifies all phase-locked states of the 
topological Kuramoto model on arbitrary cell complexes. By applying this 
framework to rings, Platonic solids, and simplexes, as minimal 
representative motifs of larger networks, we derive explicit 
winding-number bounds that determine the number of coexisting stable 
states. We also demonstrate structural cascades of multistability, 
inherited from both lower and higher dimensions. Cell complexes can 
support richer multistability than simplicial complexes of the same 
dimension. Moreover, we show that multistability patterns are organized 
into universality classes, grouping distinct complexes that share 
certain structural features. Our framework can be extended to arbitrary 
cell complexes, as well as arbitrary higher-order oscillator networks. 
Applications include power-grid stability, optical and mechanical 
oscillator arrays, and neural ensembles, among others.

Best regards,
Marija Mitrović Dankulov

-- 
Marija Mitrovic Dankulov
E-mail: mitrovic at ipb.ac.rs

Phone: +381 11 3713068
Fax: +381 11 3162190

Scientific Computing Laboratory
Institute of Physics Belgrade
Pregrevica 118, 11080 Belgrade, Serbia