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Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, 2011, Issue 14, Pages 107–112
(Mi vchgu45)
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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
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.
Citation:
O. A. Sultanov, L. A. Kalyakin, “Averaging of the Bloch equations”, Vestnik Chelyabinsk. Gos. Univ., 2011, no. 14, 107–112
Linking options:
https://www.mathnet.ru/eng/vchgu45 https://www.mathnet.ru/eng/vchgu/y2011/i14/p107
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Abstract page: | 152 | Full-text PDF : | 48 | References: | 44 |
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