Special Jordan Subspaces and Synchrony Subspaces in Coupled Cell Networks

• Type: Article in International Scientific Journal
• Date: 2015

Authors

moreira, cs (Author) FCUP

Journal

Title: SIAM Journal on Applied Dynamical Systems

Vol. 14

Pages: 253-285

ISSN: 1536-0040

Publisher: Society for Industrial and Applied Mathematics

Indexing

ISI Web of Knowledge - 3 Citations

Scopus - 4 Citations

Other information

Authenticus ID: P-00A-9GE

DOI: 10.1137/14095368x

Abstract (EN): Given a regular network (in which all cells have the same type and receive the same number of inputs and all arrows have the same type), we single out a class of special subspaces of eigenspaces and generalized eigenspaces, and we use these subspaces to study the synchrony phenomenon in the theory of coupled cell networks. To be more precise, we prove that the synchrony subspaces of a regular network are precisely the polydiagonals that are direct sums of these special subspaces. We also show that they play an important role in the lattice structure of all synchrony subspaces because every join-irreducible element of the lattice is the smallest synchrony subspace containing at least one of those special subspaces.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 33