 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10482 |
| In Russian (ΟΜΜ): | | 9683
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| In English (J. Appl. Math. Mech.): | | 799 |
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| << Previous article | Volume 76, Issue 4 / 2012 | Next article >> |
| V.V. Kozlov, "Invariant manifolds of Hamilton's equations," J. Appl. Math. Mech. 76 (4), 378-387 (2012) |
| Year |
2012 |
Volume |
76 |
Issue |
4 |
Pages |
378-387 |
| Title |
Invariant manifolds of Hamilton's equations |
| Author(s) |
V.V. Kozlov (Moscow, Russia, kozlov@pran.ru) |
| Abstract |
The invariance conditions of smooth manifolds of Hamilton's equations are represented in the form of multidimensional Lamb's equations from the dynamics of an ideal fluid. In the stationary case these conditions do not depend on the method used to parameterize the invariant manifold. One consequence of Lamb's equations is an equation of a vortex, which is invariant to replacements of the time-dependent variables. A proof of the periodicity conditions of solutions of autonomous Hamilton's equations with n degrees of freedom and compact energy manifolds that admit of 2n−3 additional first integrals is given as an application of the theory developed. |
| Received |
07 December 2011 |
| Link to Fulltext |
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