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  Stabilization of synchronous equilibria in regular dynamical networks with delayed coupling

Maia, D., Kurths, J., Yanchuk, S. (2023): Stabilization of synchronous equilibria in regular dynamical networks with delayed coupling. - Nonlinear Dynamics, 111, 7377-7390.
https://doi.org/10.1007/s11071-022-08220-w

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Item Permalink: https://publications.pik-potsdam.de/pubman/item/item_28003 Version Permalink: https://publications.pik-potsdam.de/pubman/item/item_28003_3
Genre: Journal Article

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 Creators:
Maia, Daniel1, Author
Kurths, Jürgen2, Author              
Yanchuk, Serhiy2, Author              
Affiliations:
1External Organizations, ou_persistent22              
2Potsdam Institute for Climate Impact Research, ou_persistent13              

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 Abstract: We consider the synchronization problem of dynamical networks with delayed interactions. More specifically, we focus on the stabilization of synchronous equilibria in regular networks where the degrees of all nodes are equal. By studying such control near a Hopf bifurcation, we obtain necessary and sufficient conditions for stabilization. It is shown that the stabilization domains in the parameter space reappear periodically with time-delay. We find that the frequency of reappearance of the control domains is linearly proportional to the number of cycle multipartitions of the network.

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Language(s): eng - English
 Dates: 2023-01-042023-04
 Publication Status: Finally published
 Pages: 14
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1007/s11071-022-08220-w
MDB-ID: No data to archive
PIKDOMAIN: RD4 - Complexity Science
Organisational keyword: RD4 - Complexity Science
Research topic keyword: Complex Networks
Working Group: Network- and machine-learning-based prediction of extreme events
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Title: Nonlinear Dynamics
Source Genre: Journal, SCI, Scopus
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Pages: - Volume / Issue: 111 Sequence Number: - Start / End Page: 7377 - 7390 Identifier: CoNE: https://publications.pik-potsdam.de/cone/journals/resource/nonlinear-dynamics
Publisher: Springer Nature