Geodesic
Asymptotic analysis of a model of nuclear magnetic autoresonance
Teoretičeskaâ i matematičeskaâ fizika, Tome 167 (2011) no. 3, pp. 420-431 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: nonlinear equation, small parameter, asymptotic behavior, autoresonance, dissipation, stability.
Mots-clés : perturbation 
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L. A. Kalyakin; O. A. Sultanov; M. A. Shamsutdinov. Asymptotic analysis of a model of nuclear magnetic autoresonance. Teoretičeskaâ i matematičeskaâ fizika, Tome 167 (2011) no. 3, pp. 420-431. http://geodesic.mathdoc.fr/item/TMF_2011_167_3_a7/

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