Non-local network dynamics via fractional graph Laplacians-Reference-Cited by-同舟云学术

Non-local network dynamics via fractional graph Laplacians

Published:2020-06-01 Issue:3 Volume:8 Page:
ISSN:2051-1310
Container-title:Journal of Complex Networks
language:en
Short-container-title:

Author:

Benzi Michele¹,Bertaccini Daniele²,Durastante Fabio³,Simunec Igor¹

Affiliation:

1. Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy

2. Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica 1, 00133 Roma, Italy and Consiglio Nazionale delle Ricerche, Istituto per le Applicazioni del Calcolo “M. Picone”, Roma, Italy

3. Consiglio Nazionale delle Ricerche, Istituto per le Applicazioni del Calcolo “M. Picone”, Via Pietro Castellino 111, 80131 Napoli, Italy

Abstract

AbstractWe introduce non-local dynamics on directed networks through the construction of a fractional version of a non-symmetric Laplacian for weighted directed graphs. Furthermore, we provide an analytic treatment of fractional dynamics for both directed and undirected graphs, showing the possibility of exploring the network employing random walks with jumps of arbitrary length. We also provide some examples of the applicability of the proposed dynamics, including consensus over multi-agent systems described by directed networks.

Funder

ASTRID

Istituto Nazionale di Alta Matematica “Francesco Severi” - Gruppo Nazionale Calcolo Scientifico

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Computational Mathematics,Control and Optimization,Management Science and Operations Research,Computer Networks and Communications

Link

http://academic.oup.com/comnet/article-pdf/8/3/cnaa017/33559175/cnaa017.pdf

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