The Library
A cautionary tale of coupling cells with internal symmetries
Tools
Tools
Tools
UNSPECIFIED (2001) A cautionary tale of coupling cells with internal symmetries. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 11 (1). pp. 123-132. ISSN 0218-1274
Full text not available from this repository.Abstract
We consider the implications of "all to all" coupling of n identical, Z(2) symmetric cells. In particular we demonstrate that how this coupling is achieved with respect to these internal symmetries is important, even in this very simple scenario. The coupling we consider leads to a full symmetry of S-n, Z(2) x S-n or Z(2) \ S-n, where the latter is the "wreath product" symmetry. By considering the generic solutions of each case on their respective irreducible representations, we compare and contrast the three cases, and show how very different solutions could arise in essentially similar systems.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics Q Science |
| Journal or Publication Title: | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
| Publisher: | WORLD SCIENTIFIC PUBL CO PTE LTD |
| ISSN: | 0218-1274 |
| Date: | January 2001 |
| Volume: | 11 |
| Number: | 1 |
| Number of Pages: | 10 |
| Page Range: | pp. 123-132 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/12337 |
Data sourced from Thomson Reuters' Web of Knowledge
Actions (login required)
 |
View Item |
