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

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), a...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: Garay Barnabás M.
Várdai Judit
Dokumentumtípus: Folyóirat
Megjelent: 2018
Sorozat:Electronic journal of qualitative theory of differential equations : special edition 3 No. 52
Kulcsszavak:Gráf, Matematika
Online Access:http://acta.bibl.u-szeged.hu/55722
LEADER 01394nas a2200205 i 4500
001 acta55722
005 20260224081030.0
008 181107s2018 hu o 000 hun d
022 |a 1417-3875 
040 |a SZTE Egyetemi Kiadványok Repozitórium  |b hun 
041 |a hun 
100 1 |a Garay Barnabás M. 
245 1 0 |a Moving average network examples for asymptotically stable periodic orbits of monotone maps  |h [elektronikus dokumentum] /  |c  Garay Barnabás M. 
260 |c 2018 
300 |a 1-18 
490 0 |a Electronic journal of qualitative theory of differential equations : special edition  |v 3 No. 52 
520 3 |a 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. 
695 |a Gráf, Matematika 
700 0 1 |a Várdai Judit  |e aut 
856 4 0 |u http://acta.bibl.u-szeged.hu/55722/1/ejqtde_2018_052.pdf  |z Dokumentum-elérés