Transitory shift in pendular type equations
Russian journal of nonlinear dynamics, Tome 12 (2016) no. 4, pp. 577-589
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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, attractors.
Mots-clés : limit cycles
Mots-clés : limit cycles
@article{ND_2016_12_4_a2,
author = {A. D. Morozov and K. E. Morozov},
title = {Transitory shift in pendular type equations},
journal = {Russian journal of nonlinear dynamics},
pages = {577--589},
publisher = {mathdoc},
volume = {12},
number = {4},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ND_2016_12_4_a2/}
}
A. D. Morozov; K. E. Morozov. Transitory shift in pendular type equations. Russian journal of nonlinear dynamics, Tome 12 (2016) no. 4, pp. 577-589. http://geodesic.mathdoc.fr/item/ND_2016_12_4_a2/