Noncanonical time transformations relating finite-dimensional integrable systems

被引：0
|
作者：
A. V. Tsyganov
机构：
[1] St. Petersburg State University,
来源：
Theoretical and Mathematical Physics | 1999年 / 120卷
关键词：
Hamilton Function; Dual System; Hyperelliptic Curve; Kepler Problem; Abel Mapping;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider dual Stäckel schemes related to each other by a noncanonical transformation of the time variable. We prove that this duality of different integrable systems arises from the multivaluedness of the Abel mapping. We construct the Lax matrices and the r-matrix algebras for some integrable systems on a plane. The integrable deformations of the Kepler problem and the Holt-type systems are considered in detail.
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页码：840 / 861
页数：21
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