Journal of Nonlinear Mathematical Physics

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Volume 12, Issue Supplement 1, January 2005, Pages 327 - 342

Dimension Increase and Splitting for Poincaré-Dulac Normal Forms

Authors
Giuseppe Gaeta, Sebastian Walcher
Corresponding Author
Giuseppe Gaeta
Available Online 1 January 2005.
DOI
10.2991/jnmp.2005.12.s1.26How to use a DOI?
Abstract

Integration of nonlinear dynamical systems is usually seen as associated to a symmetry reduction, e.g. via momentum map. In Lax integrable systems, as pointed out by Kazhdan, Kostant and Sternberg in discussing the Calogero system, one proceeds in the opposite way, enlarging the nonlinear system to a system of greater dimension. We discuss how this approach is also fruitful in studying non integrable systems, focusing on systems in normal form.

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
12 - Supplement 1
Pages
327 - 342
Publication Date
2005/01/01
ISBN
91-974824-3-9
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2005.12.s1.26How 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  - Giuseppe Gaeta
AU  - Sebastian Walcher
PY  - 2005
DA  - 2005/01/01
TI  - Dimension Increase and Splitting for Poincaré-Dulac Normal Forms
JO  - Journal of Nonlinear Mathematical Physics
SP  - 327
EP  - 342
VL  - 12
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2005.12.s1.26
DO  - 10.2991/jnmp.2005.12.s1.26
ID  - Gaeta2005
ER  -