 | | 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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| V.N. Tkhai, "The behaviour of the period of symmetrical periodic motions," J. Appl. Math. Mech. 76 (4), 446-450 (2012) |
| Year |
2012 |
Volume |
76 |
Issue |
4 |
Pages |
446-450 |
| Title |
The behaviour of the period of symmetrical periodic motions |
| Author(s) |
V.N. Tkhai (Moscow, Russia, tkhaivn@mail.ru) |
| Abstract |
Symmetrical periodic motions (SPMs) of a reversible mechanical system are considered; the motions include oscillations and rotations. The initial points for the SPM form sets Λ in phase space. It was established earlier that in a family of SPMs the period depends, as a rule, on a single important parameter. It is shown that in a region, stable to parametric perturbations of the system and contained in Λ, the period is a monotonic function of a single variable, while its derivative on the boundary of the region either vanishes or does not exist (unilateral, infinite). A formulation of the relation between the period and the parameter is also given. |
| Received |
12 January 2012 |
| Link to Fulltext |
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