Geodesic
Resonance Capture in a Nonlinear System
Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 1, pp. 74-82

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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.
Keywords: nonlinear equations, asymptotic expansions, resonance, WKB approximation. 
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     author = {L. A. Kalyakin},
     title = {Resonance {Capture} in a {Nonlinear} {System}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {144},
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     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_144_1_a7/}
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L. A. Kalyakin. Resonance Capture in a Nonlinear System. Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 1, pp. 74-82. http://geodesic.mathdoc.fr/item/TMF_2005_144_1_a7/