Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika
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Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, 2011, Issue 14, Pages 107–112 (Mi vchgu45)  

Differential equations

Averaging of the Bloch equations

O. A. Sultanova, L. A. Kalyakinb

a Ufa State Aviation Technical University
b Institute of Mathematics with Computing Centre, Russian Academy of Sciences
References:
Abstract: The system of three first-order differential equations with weakly varying coefficients, which is refered as the Bloch equations in the theory of nuclear magnetization is considered. Averaging of the system is performed by using the equations with both frozen coefficients and zero dissipation.
Keywords: small parameter, averaging, nonlinear equation.
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: O. A. Sultanov, L. A. Kalyakin, “Averaging of the Bloch equations”, Vestnik Chelyabinsk. Gos. Univ., 2011, no. 14, 107–112
Citation in format AMSBIB
\Bibitem{SulKal11}
\by O.~A.~Sultanov, L.~A.~Kalyakin
\paper Averaging of the Bloch equations
\jour Vestnik Chelyabinsk. Gos. Univ.
\yr 2011
\issue 14
\pages 107--112
\mathnet{http://mi.mathnet.ru/vchgu45}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3184656}
\elib{https://elibrary.ru/item.asp?id=17318525}
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    Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika
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