Resonance Capture in a Nonlinear System |
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| Authors: | L. A. Kalyakin |
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| Affiliation: | (1) Institute of Mathematics and Computer Center, RAS, 112 Chernyshevskii St., 450077 Ufa, Russia |
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| Abstract: | We investigate a system of six nonlinear nonautonomous differential equations resulting from averaging fast driven oscillations and construct resonant asymptotic solutions with a linear time increase of amplitudes.__________Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 144, No. 1, pp. 74–82, July, 2005. |
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| Keywords: | nonlinear equations asymptotic expansions resonance WKB approximation |
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