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.

引用

页数：13

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