Flow invariant subspaces for lattice dynamical systems

• Type: Article in International Conference Proceedings Book
• Date: 2006

Authors

Antoneli, F (Author) Other; dias, aps (Author) FCUP; Golubitsky, M (Author) Other; Wang, YJ (Author) Other

Conference proceedings International

Title: BIFURCATION THEORY AND SPATIO-TEMPORAL PATTERN FORMATION

Pages: 1-+

Workshop on Bifurcation Theory and Spatio-Temporal Pattern Formation in Partial Differential Equations

Field Inst Res Mat Sci, Zurich, SWITZERLAND, DEC 11-13, 2003

Indexing

ISI Web of Knowledge - 4 Citations

Other information

Authenticus ID: P-00P-3KA

Abstract (EN): Stewart et al. have shown that flow invariant subspaces for coupled networks are equivalent to a combinatorial notion of a balanced coloring. Wang and Golubitsky have classified all balanced two colorings of planar lattices with either nearest neighbor (NN) or both nearest neighbor and next nearest neighbor coupling (NNN). This classification gives a rich set of patterns and shows the existence of many nonspatially periodic patterns in the NN case. However, all balanced two-colorings in the NNN case on the square and hexagonal lattices are spatially periodic. We survey these and new results showing that all balanced k-colorings in the NNN case on square lattices are spatially periodic.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 3