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.

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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: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2018
Number: 52
ISSN: 1417-3875
Page Range: pp. 1-18
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: 2020. Jul. 29. 12:29
URI: http://acta.bibl.u-szeged.hu/id/eprint/58133

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