Dynamical systems on hypergraphs

Timoteo Carletti, Duccio Fanelli

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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 originaleAnglais
titreHigher-Order Systems
Nombre de pages18
ISBN (Electronique)978-3-030-91374-8
ISBN (imprimé)978-3-030-91376-2
Les DOIs
Etat de la publicationPublié - 27 avr. 2022

Série de publications

NomUnderstanding Complex Systems
ISSN (imprimé)1860-0832
ISSN (Electronique)1860-0840

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