An in-reachability based classification of invariant synchrony patterns in weighted coupled cell networks

• Type: Article in International Scientific Journal
• Date: 2024

Authors

Sequeira, PM (Author) Other; Hespanha, JP (Author) Other; Aguiar, AP (Author) FEUP

Journal

Title: Nonlinearity

Vol. 37

ISSN: 0951-7715

Publisher: Institute of Physics Publishing

Indexing

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Scopus - 0 Citations

Other information

Authenticus ID: P-00Z-GQ4

DOI: 10.1088/1361-6544/ad0d71

Abstract (EN): This paper presents an in-reachability based classification of invariant synchrony patterns in coupled cell networks (CCNs). These patterns are encoded through partitions on the set of cells, whose subsets of synchronised cells are called colours. We study the influence of the structure of the network in the qualitative behaviour of invariant synchrony sets, in particular, with respect to the different types of (cumulative) in-neighbourhoods and the in-reachability sets. This motivates the proposed approach to classify the partitions into the categories of strong, rooted and weak, according to how their colours are related with respect to the connectivity structure of the network. Furthermore, we show how this classification system acts under the partition join ( proves ) operation, which gives us the synchrony pattern that corresponds to the intersection of synchrony sets.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 46