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 |
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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
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Dive into the research topics of 'Global Topological Synchronization on Simplicial and Cell Complexes'. Together they form a unique fingerprint.Activities
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DIFFERENTIAL EQUATIONS AND NONLINEAR MODELS
Carletti, T. (Invited Speaker)
9 Jun 2025 → 13 Jun 2025Activity: Participating in or organising an event types › Participation in conference
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International School and Conference on Network Science
Carletti, T. (Invited Speaker)
15 Jan 2025 → 17 Jan 2025Activity: Participating in or organising an event types › Participation in conference
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Complex Systems Seminar
Carletti, T. (Contributor)
2 Oct 2024Activity: Participating in or organising an event types › Participation in workshop, seminar, course
Student theses
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A Journey Through Reciprocal Space: from Deep Spectral Learning to Topological Signals
Giambagli, L. (Author), Carletti, T. (Supervisor), Fanelli, D. (Co-Supervisor), Libert, A.-S. (President), Frasca, M. (Jury), SCHAUB, M. (Jury) & Clementi, C. (Jury), 21 Feb 2024Student thesis: Doc types › Doctor of Sciences
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