Separation of variables for the generalized Henon-Heiles system and system with quartic potential

被引：10
|
作者：
Grigoryev, Yu A. [1 ]
Tsiganov, A. V. [1 ]
机构：
[1] St Petersburg State Univ, St Petersburg, Russia
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2011年 / 44卷 / 25期
关键词：
D O I：
10.1088/1751-8113/44/25/255202
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider two well-known integrable systems on the plane using the concept of natural Poisson bivectors on Riemannian manifolds. A geometric approach to construction of variables of separation and separated relations for the generalized Henon-Heiles system and the generalized system with quartic potential is discussed in detail.
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页数：9
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