Analytical investigation of the delay system with structural matrix having eigenvalues on the unit circle

Investigation of the mutual synchronizatin system with delays, composed of n (n= 2p +1, p ∈ N) oscillators joined into a onedirectional ring, is carried out. The investigation is based on the use of eigenvectors of the matrix, which describes the structure of the internal links of the system.

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Main Authors: Gintarė Leonaitė, Jonas Rimas
Format: Article
Language:English
Published: Vilnius University Press 2023-09-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://www.zurnalai.vu.lt/LMR/article/view/30760
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author Gintarė Leonaitė
Jonas Rimas
author_facet Gintarė Leonaitė
Jonas Rimas
author_sort Gintarė Leonaitė
collection DOAJ
description Investigation of the mutual synchronizatin system with delays, composed of n (n= 2p +1, p ∈ N) oscillators joined into a onedirectional ring, is carried out. The investigation is based on the use of eigenvectors of the matrix, which describes the structure of the internal links of the system.
format Article
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institution Kabale University
issn 0132-2818
2335-898X
language English
publishDate 2023-09-01
publisher Vilnius University Press
record_format Article
series Lietuvos Matematikos Rinkinys
spelling doaj-art-b09f555a8c4f47acbac5476ec5baf55e2025-02-11T18:12:30ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2023-09-0146spec.10.15388/LMR.2006.30760Analytical investigation of the delay system with structural matrix having eigenvalues on the unit circleGintarė Leonaitė0Jonas Rimas1Kaunas University of TechnologyKaunas University of Technology Investigation of the mutual synchronizatin system with delays, composed of n (n= 2p +1, p ∈ N) oscillators joined into a onedirectional ring, is carried out. The investigation is based on the use of eigenvectors of the matrix, which describes the structure of the internal links of the system. https://www.zurnalai.vu.lt/LMR/article/view/30760eigenvalueseigenvectorsJordan’s formdelay systems
spellingShingle Gintarė Leonaitė
Jonas Rimas
Analytical investigation of the delay system with structural matrix having eigenvalues on the unit circle
Lietuvos Matematikos Rinkinys
eigenvalues
eigenvectors
Jordan’s form
delay systems
title Analytical investigation of the delay system with structural matrix having eigenvalues on the unit circle
title_full Analytical investigation of the delay system with structural matrix having eigenvalues on the unit circle
title_fullStr Analytical investigation of the delay system with structural matrix having eigenvalues on the unit circle
title_full_unstemmed Analytical investigation of the delay system with structural matrix having eigenvalues on the unit circle
title_short Analytical investigation of the delay system with structural matrix having eigenvalues on the unit circle
title_sort analytical investigation of the delay system with structural matrix having eigenvalues on the unit circle
topic eigenvalues
eigenvectors
Jordan’s form
delay systems
url https://www.zurnalai.vu.lt/LMR/article/view/30760
work_keys_str_mv AT gintareleonaite analyticalinvestigationofthedelaysystemwithstructuralmatrixhavingeigenvaluesontheunitcircle
AT jonasrimas analyticalinvestigationofthedelaysystemwithstructuralmatrixhavingeigenvaluesontheunitcircle