 | | 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: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| A.P. Markeyev, "A method for analytically representing area-preserving mappings," J. Appl. Math. Mech. 78 (5), 435-444 (2014) |
| Year |
2014 |
Volume |
78 |
Issue |
5 |
Pages |
435-444 |
| Title |
A method for analytically representing area-preserving mappings |
| Author(s) |
A.P. Markeyev (Moscow, Russia, markeev@ipmnet.ru) |
| Abstract |
An area-preserving mapping is considered. It is assumed that the mapping has a fixed point and is analytic in a small neighbourhood near it. A constructive algorithm for obtaining a representation of the mapping in the form of a composite of two area-preserving mappings, one of which is a nearly identity mapping, while the other corresponds to the real normal form of a linearized mapping, is described. The algorithm is used in the problem of the stability of the translational motion of a rigid body in a uniform gravitational field when it undergoes collisions with a fixed horizontal plane and in the problem of the stability of one type of resonant in-plane rotations of a satellite, i.e., a rigid body, in an elliptic orbit. |
| Received |
11 March 2014 |
| Link to Fulltext |
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