Particular solutions of the Hamilton–Jacobi equation and their usage
- 作者: Irtegov V.D.1, Titorenko T.N.1
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隶属关系:
- Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences
- 期: 卷 52, 编号 3 (2016)
- 页面: 292-305
- 栏目: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/153695
- DOI: https://doi.org/10.1134/S0012266116030046
- ID: 153695
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详细
We show the possibility of using particular solutions of the Hamilton–Jacobi equation in problems of qualitative analysis of Lagrangian systems with cyclic first integrals. We present a procedure for finding and studying invariant manifolds of such systems. The efficiency of the suggested approach is illustrated by examples of the solution of specific problems.
作者简介
V. Irtegov
Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences
编辑信件的主要联系方式.
Email: irteg@icc.ru
俄罗斯联邦, Irkutsk
T. Titorenko
Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences
Email: irteg@icc.ru
俄罗斯联邦, Irkutsk
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