Autoresonance excitation of a breather in weak ferromagnetics
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 7, pp. 1208-1220
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A mathematical model of the magnetodynamics of a weak ferromagnetic in an external magnetic field with variable frequency is studied. Conditions for the appearance of autoresonance are found under which the amplitude of the local magnetic inhomogeneities is considerably increased. Mathematically, the problem is to analyze the solutions to the sine-Gordon equation subject to a specific nonautonomous perturbation. For the perturbed equation, asymptotic solutions in the form of a breather with a slowly varying amplitude and a phase shift are constructed. The solutions whose amplitude increases with time from small values to quantities of order one are associated with the autoresonance phenomenon.
@article{ZVMMF_2007_47_7_a7,
author = {R. N. Garifullin and L. A. Kalyakin and M. A. Shamsutdinov},
title = {Autoresonance excitation of a~breather in weak ferromagnetics},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1208--1220},
publisher = {mathdoc},
volume = {47},
number = {7},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_7_a7/}
}
TY - JOUR AU - R. N. Garifullin AU - L. A. Kalyakin AU - M. A. Shamsutdinov TI - Autoresonance excitation of a breather in weak ferromagnetics JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2007 SP - 1208 EP - 1220 VL - 47 IS - 7 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_7_a7/ LA - ru ID - ZVMMF_2007_47_7_a7 ER -
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R. N. Garifullin; L. A. Kalyakin; M. A. Shamsutdinov. Autoresonance excitation of a breather in weak ferromagnetics. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 7, pp. 1208-1220. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_7_a7/