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Particular solutions of the Hamilton–Jacobi equation and their usage

Particular solutions of the Hamilton–Jacobi equation and their usage 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Particular solutions of the Hamilton–Jacobi equation and their usage

Differential Equations , Volume 52 (3) – May 11, 2016

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References (12)

Publisher
Springer Journals
Copyright
Copyright © 2016 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266116030046
Publisher site
See Article on Publisher Site

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.

Journal

Differential EquationsSpringer Journals

Published: May 11, 2016

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