Interior Symmetries and Multiple Eigenvalues for Homogeneous Networks

• Type: Article in International Scientific Journal
• Date: 2012

Authors

Manuela Aguiar (Author) FEP; H. Ruan (Author) Other

Journal

Title: SIAM Journal on Applied Dynamical Systems

Vol. 11 No. 4

Pages: 1231-1269

ISSN: 1536-0040

Publisher: Society for Industrial and Applied Mathematics

Indexing

ISI Web of Knowledge - 2 Citations

ISI Web of Science

Scopus - 4 Citations

Scientific classification

FOS: Natural sciences > Mathematics

CORDIS: Physical sciences > Mathematics

Other information

Authenticus ID: P-002-EK3

DOI: 10.1137/110851183

Abstract (EN): We analyze the impact of interior symmetries on the multiplicity of the eigenvalues of the Jacobian matrix at a fully synchronous equilibrium for the coupled cell systems associated to homogeneous networks. We consider also the special cases of regular and uniform networks. It follows from our results that the interior symmetries, as well as the reverse interior symmetries and quotient interior symmetries, of the network force the existence of eigenvalues with algebraic multiplicity greater than one. The proofs are based on the special form of the adjacency matrices of the networks induced by these interior symmetries.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 39