On a Trivial Family of Noncommutative Integrable Systems

被引：1
|
作者：
Tsiganov, Andrey V. [1 ]
机构：
[1] St Petersburg State Univ, St Petersburg, Russia
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2013年 / 9卷
关键词：
bi-Hamiltonian geometry; noncommutative integrable systems; NATURAL HAMILTONIAN-SYSTEMS; TODA LATTICE; POISSON STRUCTURES; JACOBI EQUATION; SEPARABILITY; SEPARATION; MANIFOLDS; VARIABLES;
D O I：
10.3842/SIGMA.2013.015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss trivial deformations of the canonical Poisson brackets associated with the Toda lattices, relativistic Toda lattices, Henon-Heiles, rational Calogero-Moser and Ruijsenaars-Schneider systems and apply one of these deformations to construct a new trivial family of noncommutative integrable systems.
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页数：13
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