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

• Tipo: Artigo em Revista Científica Internacional
• Data: 2024

Autores

Manuela Aguiar (Autor) FEP; dias, aps (Autor) FCUP; Soares, P (Autor) Outra

Revista

Título: Journal of Nonlinear Science

Vol. 34

ISSN: 0938-8974

Editora: Springer Nature

Indexação

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Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 45