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Asymptotic analysis of a model of nuclear magnetic autoresonance. / Kalyakin, L. A.; Sultanov, O. A.; Shamsutdinov, M. A.

In: Theoretical and Mathematical Physics, Vol. 167, No. 3, 01.06.2011, p. 762-771.

Research output: Contribution to journal › Article › peer-review

Harvard

Kalyakin, LA, Sultanov, OA & Shamsutdinov, MA 2011, 'Asymptotic analysis of a model of nuclear magnetic autoresonance', Theoretical and Mathematical Physics, vol. 167, no. 3, pp. 762-771. https://doi.org/10.1007/s11232-011-0060-8

APA

Kalyakin, L. A., Sultanov, O. A., & Shamsutdinov, M. A. (2011). Asymptotic analysis of a model of nuclear magnetic autoresonance. Theoretical and Mathematical Physics, 167(3), 762-771. https://doi.org/10.1007/s11232-011-0060-8

Vancouver

Kalyakin LA, Sultanov OA, Shamsutdinov MA. Asymptotic analysis of a model of nuclear magnetic autoresonance. Theoretical and Mathematical Physics. 2011 Jun 1;167(3):762-771. https://doi.org/10.1007/s11232-011-0060-8

Author

Kalyakin, L. A. ; Sultanov, O. A. ; Shamsutdinov, M. A. / Asymptotic analysis of a model of nuclear magnetic autoresonance. In: Theoretical and Mathematical Physics. 2011 ; Vol. 167, No. 3. pp. 762-771.

BibTeX

@article{f3f286cb611041e98ddc285718ba74d6,
title = "Asymptotic analysis of a model of nuclear magnetic autoresonance",
abstract = "We study the system of three first-order differential equations arising when averaging the Bloch equations in the theory of nuclear magnetic resonance. For the averaged system, we construct an asymptotic series for the stable solution with an infinitely increasing amplitude. This result gives a key to understanding the autoresonance in weakly dissipative magnetic systems as a phenomenon of significant growth of the magnetization initiated by a small external pumping. {\textcopyright} 2011 Pleiades Publishing, Ltd.",
keywords = "asymptotic behavior, autoresonance, dissipation, nonlinear equation, perturbation, small parameter, stability",
author = "Kalyakin, {L. A.} and Sultanov, {O. A.} and Shamsutdinov, {M. A.}",
year = "2011",
month = jun,
day = "1",
doi = "10.1007/s11232-011-0060-8",
language = "English",
volume = "167",
pages = "762--771",
journal = "Theoretical and Mathematical Physics (Russian Federation)",
issn = "0040-5779",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Asymptotic analysis of a model of nuclear magnetic autoresonance

AU - Kalyakin, L. A.

AU - Sultanov, O. A.

AU - Shamsutdinov, M. A.

PY - 2011/6/1

Y1 - 2011/6/1

N2 - We study the system of three first-order differential equations arising when averaging the Bloch equations in the theory of nuclear magnetic resonance. For the averaged system, we construct an asymptotic series for the stable solution with an infinitely increasing amplitude. This result gives a key to understanding the autoresonance in weakly dissipative magnetic systems as a phenomenon of significant growth of the magnetization initiated by a small external pumping. © 2011 Pleiades Publishing, Ltd.

AB - We study the system of three first-order differential equations arising when averaging the Bloch equations in the theory of nuclear magnetic resonance. For the averaged system, we construct an asymptotic series for the stable solution with an infinitely increasing amplitude. This result gives a key to understanding the autoresonance in weakly dissipative magnetic systems as a phenomenon of significant growth of the magnetization initiated by a small external pumping. © 2011 Pleiades Publishing, Ltd.

KW - asymptotic behavior

KW - autoresonance

KW - dissipation

KW - nonlinear equation

KW - perturbation

KW - small parameter

KW - stability

UR - http://www.scopus.com/inward/record.url?scp=79960076843&partnerID=8YFLogxK

U2 - 10.1007/s11232-011-0060-8

DO - 10.1007/s11232-011-0060-8

M3 - Article

AN - SCOPUS:79960076843

VL - 167

SP - 762

EP - 771

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 3

ER -

ID: 126273697