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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