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This article is cited in 1 scientific paper (total in 1 paper)
Original papers
Transitory shift in pendular type equations
A. D. Morozov, K. E. Morozov Lobachevsky State University of Nizhny Novgorod,
pr. Gagarina 23, Nizhny Novgorod, 603950, Russia
Abstract:
The two-dimensional nonautonomous equations of pendular type are considered: the Josephson equation and the equation of oscillations of a body. It is supposed that these equations are transitory, i.e., nonautonomous only on a finite time interval. The problem of dependence of the mode on the transitory shift is solved. For a conservative case the measure of transport from oscillations to rotations is established.
Keywords:
transitory system, separatrix, limit cycles, attractors.
Received: 28.06.2016 Accepted: 14.10.2016
Citation:
A. D. Morozov, K. E. Morozov, “Transitory shift in pendular type equations”, Nelin. Dinam., 12:4 (2016), 577–589
Linking options:
https://www.mathnet.ru/eng/nd539 https://www.mathnet.ru/eng/nd/v12/i4/p577
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Abstract page: | 236 | Full-text PDF : | 57 | References: | 37 |
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