Hamiltonian systems and Vasil'ev invariants

被引：0
|
作者：
Kirin N.A. [1 ]
机构：
[1] Kolomna State Pedagogical Institute, Kolomna
来源：
Journal of Mathematical Sciences | 2009年 / 160卷 / 1期
基金：
俄罗斯基础研究基金会;
关键词：
Vortex; Singular Point; Vasil; Hamiltonian System; Weight System;
D O I：
10.1007/s10958-009-9480-5
中图分类号：
学科分类号：
摘要：
It is proved that a dynamical system related to the first-order Vasil'ev invariants exactly coincides with the system of Cartesian vortices on the plane. Also, the general form of Hamiltonian systems corresponding to the second-order Vasil'ev invariant is written and some properties of such systems are indicated © 2009 Springer Science+Business Media, Inc.
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页码：10 / 20
页数：10
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