Activities per year
Abstract
Networks are a widely used and efficient paradigm to model real-world systems where basic units interact pairwise. Many body interactions are often at play, and cannot be modelled by resorting to binary exchanges. In this work, we consider a general class of dynamical systems anchored on hypergraphs. Hyperedges of arbitrary size ideally encircle individual units so as to account for multiple, simultaneous interactions. These latter are mediated by a combinatorial Laplacian, that is here introduced and characterised. The formalism of the master stability function is adapted to the present setting. Turing patterns and the synchronisation of non linear (regular and chaotic) oscillators are studied, for a general class of systems evolving on hypergraphs. The response to externally imposed perturbations bears the imprint of the higher order nature of the interactions.
Original language | English |
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Number of pages | 16 |
Journal | Journal of Physics: Complexity |
Volume | 1 |
Issue number | 3 |
DOIs | |
Publication status | Published - 17 Aug 2020 |
Keywords
- hypergraphs
- dynamical systems
- Turing patterns
- Synchronisation
- Master Stability Function
- nonlinear oscillators
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Equipment
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High Performance Computing Technology Platform
Benoît Champagne (Manager)
Technological Platform High Performance ComputingFacility/equipment: Technological Platform
Activities
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TopoNets 2020
Timoteo Carletti (Speaker)
19 Sep 2020Activity: Talk or presentation types › Oral presentation
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TopoNets 2020
Timoteo Carletti (Participant)
18 Sep 2020 → 19 Sep 2020Activity: Participating in or organising an event types › Participation in workshop, seminar, course
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Sara Nicoletti
Timoteo Carletti (Host)
3 Jun 2019 → 30 Aug 2019Activity: Hosting a visitor types › Hosting a student/trainee