Journal of Nonlinear Mathematical Physics

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Volume 10, Issue Supplement 2, December 2003, Pages 149 - 165

The Extension of Integrable Mappings to Non-Commuting Variables

Authors
A. Ramani, T. Tamizhmani, B. Grammaticos, K. M. Tamizhmani
Corresponding Author
A. Ramani
Available Online 1 December 2003.
DOI
10.2991/jnmp.2003.10.s2.14How to use a DOI?
Abstract

We present an extension of a family of second-order integrable mappings to the case where the variables do not commute. In every case we introduce a commutation rule which is consistent with the mapping evolution. Through the proper ordering of variables we ensure the existence of an invariant in the non-commuting case.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
10 - Supplement 2
Pages
149 - 165
Publication Date
2003/12/01
ISBN
91-974824-0-4
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2003.10.s2.14How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - A. Ramani
AU  - T. Tamizhmani
AU  - B. Grammaticos
AU  - K. M. Tamizhmani
PY  - 2003
DA  - 2003/12/01
TI  - The Extension of Integrable Mappings to Non-Commuting Variables
JO  - Journal of Nonlinear Mathematical Physics
SP  - 149
EP  - 165
VL  - 10
IS  - Supplement 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2003.10.s2.14
DO  - 10.2991/jnmp.2003.10.s2.14
ID  - Ramani2003
ER  -