Dynamical systems on hypergraphs

Timoteo Carletti; Duccio Fanelli

doi:10.1007/978-3-030-91374-8_5

Dynamical systems on hypergraphs

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Résumé

We present a general framework that enables one to model high-order interactions among entangled dynamical systems, via hypergraphs. Several relevant processes can be ideally traced back to the proposed scheme. We shall here solely elaborate on the conditions that seed the spontaneous emergence of patterns, spatially heterogeneous solutions resulting from the many-body interaction between fundamental units. In particular we will focus, on two relevant settings. First, we will assume long-ranged mean field interactions between populations, and then turn to considering diffusive-like couplings. Two applications are presented, respectively to a generalised Volterra system and the Brusselator model.

langue originale	Anglais
titre	Higher-Order Systems
Editeur	Springer
Pages	163-180
Nombre de pages	18
ISBN (Electronique)	978-3-030-91374-8
ISBN (imprimé)	978-3-030-91376-2
Les DOIs	https://doi.org/10.1007/978-3-030-91374-8_5
Etat de la publication	Publié - 27 avr. 2022

Série de publications

Nom	Understanding Complex Systems
Editeur	Springer
ISSN (imprimé)	1860-0832
ISSN (Electronique)	1860-0840

Accès au document

10.1007/978-3-030-91374-8_5

CarlettiFanelliv3Version finale publiée, 499 KB

https://link.springer.com/chapter/10.1007/978-3-030-91374-8_5

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3 Citations
3 Article

Dynamical systems on hypergraphs
Carletti, T., Fanelli, D. & Nicoletti, S., 17 août 2020, Dans: Journal of Physics: Complexity. 1, 3, 16 p., 035006.
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Generalized patterns from local and non local reactions
Cencetti, G., Battiston, F., Carletti, T. & Fanelli, D., mai 2020, Dans: Chaos, Solitons & Fractals. 134, p. 1-8 8 p., 109707.
Résultats de recherche: Contribution à un journal/une revue › Article › Revue par des pairs

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Random walks on hypergraphs
Carletti, T., Battiston, F., Cencetti, G. & Fanelli, D., 18 févr. 2020, Dans: Physical review. E. 101, 2, 19 p., 022308.
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1 Participation à une conférence, un congrès
1 Discours invité

Complex Dynamical Systems & Applications 7th
Carletti, T. (Orateur invité)
25 janv. 2024 → 27 janv. 2024
Activité: Participation ou organisation d'un événement › Participation à une conférence, un congrès
Physics and hypergraphs. Synchronization on hypergraphs & simplicial complexes
Carletti, T. (Orateur)
12 oct. 2023
Activité: Discours ou présentation › Discours invité

Contient cette citation

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Dynamical systems on hypergraphs

Résumé

Série de publications

Accès au document

Autres fichiers et liens

Empreinte digitale

Résultat de recherche

Dynamical systems on hypergraphs

Generalized patterns from local and non local reactions

Random walks on hypergraphs

Activités

Complex Dynamical Systems & Applications 7th

Physics and hypergraphs. Synchronization on hypergraphs & simplicial complexes

Contient cette citation