Towards a Classification of Steady-State Bifurcations for Networks with Asymmetric Inputs

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

Authors

Manuela Aguiar (Author) FEP; dias, aps (Author) FCUP; Soares, P (Author) Other

Journal

Title: Journal of Nonlinear Science

Vol. 34

ISSN: 0938-8974

Publisher: Springer Nature

Indexing

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Other information

Authenticus ID: P-010-YRW

DOI: 10.1007/s00332-024-10061-3

Abstract (EN): We consider homogeneous coupled cell networks with asymmetric inputs. We obtain general results concerning codimension-one steady-state bifurcations for networks with any number of cells and any number of asymmetric inputs. These results rely solely on the network adjacency matrices eigenvalue structure and the existence, or not, of network synchrony subspaces. For networks with three cells, we describe the possible lattices of synchrony subspaces annotated with the eigenvalues on each synchrony subspace. Applying the previous results, we classify the synchrony-breaking steady-state bifurcations that can occur for three-cell minimal networks with one, two or six asymmetric inputs.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 45