Geodesic
Averaging of the Bloch equations
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 14 (2011), pp. 107-112

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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. 
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     author = {O. A. Sultanov and L. A. Kalyakin},
     title = {Averaging of the {Bloch} equations},
     journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
     pages = {107--112},
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     year = {2011},
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O. A. Sultanov; L. A. Kalyakin. Averaging of the Bloch equations. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 14 (2011), pp. 107-112. http://geodesic.mathdoc.fr/item/VCHGU_2011_14_a10/