Integrable maps which preserve functions with symmetries

被引：5

作者：

Fordy, Allan P. ^{[1
]}

Kassotakis, Pavlos ^{[2
]}

机构：

[1] Univ Leeds, Sch Math, Leeds LS2 9JT, W Yorkshire, England

[2] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2013年 / 46卷 / 20期

基金：

澳大利亚研究理事会;

关键词：

D O I：

10.1088/1751-8113/46/20/205201

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider maps which preserve functions which are built out of the invariants of some simple vector fields. We give a reduction procedure, which can be used to derive commuting maps of the plane, which preserve the same symplectic form and first integral. We show how our method can be applied to some maps which have recently appeared in the context of Yang-Baxter maps.

引用

页数：12

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