New Examples of Integrable Conservative Systems on S2 and the Case of Goryachev–Chaplygin

被引：0
|
作者：
Elena N. Selivanova
机构：
[1] Department of Geometry,
[2] Nizhny Novgorod State Pedagogical University,undefined
[3] ul. Ulyanova 1,undefined
[4] Nizhny Novgorod,undefined
[5] 603000 Russia,undefined
[6] Mathematisches Institut,undefined
[7] Universität Tübingen,undefined
[8] Auf der Morgenstelle 10,undefined
[9] 72076 Tübingen,undefined
[10] Germany.¶E-mail: lena@moebius.mathematik.uni-tuebingen.de},undefined
来源：
Communications in Mathematical Physics | 1999年 / 207卷
关键词：
Integrable System; Large Class; Classical Case; Conservative System;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we propose new examples of conservative systems on S2 possessing cubic integrals in momenta. We obtain a classification of a large class of such systems. We show that this class contains new families of integrable systems as well as the classical case of Goryachev–Chaplygin.
引用
收藏
页码：641 / 663
页数：22
相关论文
共 50 条
12345