Activities per year
Abstract
Topological signals, i.e., dynamical variables defined on nodes, links, triangles, etc. of higher-order networks, are attracting increasing attention. However, the investigation of their collective phenomena is only at its infancy. Here we combine topology and nonlinear dynamics to determine the conditions for global synchronization of topological signals defined on simplicial or cell complexes. On simplicial complexes we show that topological obstruction impedes odd dimensional signals to globally synchronize. On the other hand, we show that cell complexes can overcome topological obstruction and in some structures signals of any dimension can achieve global synchronization.
Original language | English |
---|---|
Article number | 187401 |
Number of pages | 6 |
Journal | Physical review letters |
Volume | 130 |
Issue number | 18 |
DOIs | |
Publication status | Published - 3 May 2023 |
Keywords
- synchronisation
- topological signals
- collective behaviour
- networks
- dynamics on networks
- coupled oscillators
- simplicial complexes
- cell complexes
Fingerprint
Dive into the research topics of 'Global Topological Synchronization on Simplicial and Cell Complexes'. Together they form a unique fingerprint.-
Physics and hypergraphs. Synchronization on hypergraphs & simplicial complexes
Timoteo Carletti (Speaker)
12 Oct 2023Activity: Talk or presentation types › Invited talk
-
Cameroon's first school on nonlinear dynamics and complex systems on hypergraphs
Timoteo Carletti (Keynote Speaker)
27 Sept 2023Activity: Participating in or organising an event types › Participation in workshop, seminar, course
-
SIAM Conference on Dynamical Systems 23
Timoteo Carletti (Invited Speaker)
14 May 2023 → 18 May 2023Activity: Participating in or organising an event types › Participation in workshop, seminar, course