Email this article Particular solutions of the Hamilton–Jacobi equation and their usage
- Authors: Irtegov V.D.1, Titorenko T.N.1
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Affiliations:
- Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences
- Issue: Vol 52, No 3 (2016)
- Pages: 292-305
- Section: Ordinary Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/153695
- DOI: https://doi.org/10.1134/S0012266116030046
- ID: 153695
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Abstract
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.
About the authors
V. D. Irtegov
Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences
Author for correspondence.
Email: irteg@icc.ru
Russian Federation, Irkutsk
T. N. Titorenko
Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences
Email: irteg@icc.ru
Russian Federation, Irkutsk
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