A cautionary tale of coupling cells with internal symmetries
UNSPECIFIED. (2001) A cautionary tale of coupling cells with internal symmetries. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 11 (1). pp. 123-132. ISSN 0218-1274Full text not available from this repository.
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
|Journal or Publication Title:||INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS|
|Publisher:||WORLD SCIENTIFIC PUBL CO PTE LTD|
|Official Date:||January 2001|
|Number of Pages:||10|
|Page Range:||pp. 123-132|
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