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International conference "Geometrical Methods in Mathematical Physics"
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Asymptotic analysis of autoresonance in the system with small dissipation L. A. Kalyakin Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa |
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Abstract: The purpose of the lecture is to show approaches for analyzing the autoresonance phenomenon occurred in oscillating systems. For the system of the model equations the existence of a Lyapunov stable solution with an unlimited growing amplitude is established. This solution describes the initial stage of the autoresonance phenomenon occurred in the system of Bloch's equations. By that a great variation of the nuclear magnetization in magnetic crystal by pumping a weak external field with the slow varying radiofrequency is proved. Language: English |
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