Algebraic Linearization of Hyperbolic Ruijsenaars­Schneider Systems

DOI

10.2991/jnmp.2001.8.s.11How to use a DOI?

Abstract

In this article, we present an explicit linearization of dynamical systems of RuijsenaarSchneider (RS) type and of the perturbations introduced by F Calogero [2] of these systems with all orbits periodic of the same period. The existence of this linearization and its algebraic nature relies on the dynamical equation firstly discussed in the artile [3]. The notion of algebraic linearization which was first displayed in NEEDS 99 conference will be discussed further with several other examples in a forthcoming publication. A differential system is algebraically (resp. analytically) linearizable if there are n globally defined functions (rational, resp. meromorphic) which are genrically independent so that the time evolution of the flow expressed in these functions is linear (in time) and algebraic in the initial coordinates.

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/).

Download article (PDF)

TY  - JOUR
AU  - R. Caseiro
AU  - J.P. Françoise
PY  - 2001
DA  - 2001/02/01
TI  - Algebraic Linearization of Hyperbolic Ruijsenaars­Schneider Systems
JO  - Journal of Nonlinear Mathematical Physics
SP  - 58
EP  - 61
VL  - 8
IS  - Supplement
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2001.8.s.11
DO  - 10.2991/jnmp.2001.8.s.11
ID  - Caseiro2001
ER  -