On the Dynamics of Systems with Two Degrees of Freedom

被引：0
|
作者：
Denisova, N., V [1 ,2 ]
机构：
[1] Lomonosov Moscow State Univ, Fac Mech & Math, Moscow 119991, Russia
[2] Demidov Yaroslavl State Univ, Yaroslavl 150000, Russia
来源：
DOKLADY MATHEMATICS | 2022年 / 105卷 / 01期
基金：
俄罗斯科学基金会;
关键词：
conformal coordinates; conditional integrals; invariant tori;
D O I：
10.1134/S1064562422010021
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The dynamics of systems in a potential field is considered in the case where kinetic energy can be represented in conformal form. In the case of two degrees of freedom, conformal coordinates always exist. It is assumed that the system can additionally experience gyroscopic forces. For a fixed value of the total energy, the equations of motion are reduced to a simple "universal" form by changing time. A case of integrability of the equations of motion at fixed total energy is indicated.
引用
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页码：1 / 5
页数：5
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