Moving average network examples for asymptotically stable periodic orbits of monotone maps

Garay, Barnabás M. and Várdai, Judit: Moving average network examples for asymptotically stable periodic orbits of monotone maps. Electronic journal of qualitative theory of differential equations 52. pp. 1-18. (2018)

[img] Cikk, tanulmány, mű
ejqtde_2018_052.pdf

Download (510kB)

Abstract

For a certain type of discrete-time nonlinear consensus dynamics, asymptotically stable periodic orbits are constructed. Based on a simple ordinal pattern assumption, the Frucht graph, two Petersen septets, hypercubes, a technical class of circulant graphs (containing Paley graphs of prime order), and complete graphs are considered – they are all carrying moving average monotone dynamics admitting asymptotically stable periodic orbits with period 2. Carried by a directed graph with 594 (multiple and multiple loop) edges on 3 vertices, also the existence of asymptotically stable r-periodic orbits, r = 3, 4, . . . is shown.

Item Type: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2018
Number: 52
Page Range: pp. 1-18
ISSN: 1417-3875
DOI: https://doi.org/10.14232/ejqtde.2018.1.52
Uncontrolled Keywords: Gráf, Matematika
Additional Information: Bibliogr.: p. 16-18. ; összefoglalás angol nyelven
Date Deposited: 2019. Jun. 03. 05:51
Last Modified: 2019. Jun. 03. 05:51
URI: http://acta.bibl.u-szeged.hu/id/eprint/58133

Actions (login required)

View Item View Item