Geodesic
Asymptotic solution to the problem of autoresonance: Outer expansion
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 9, pp. 1605-1616
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The autoresonance phenomenon (phase locking) is studied for a nonlinear second-order ordinary differential equation. Using the matching method and the multiple scale method, a two-parameter asymptotic solution to this equation is constructed. 
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R. N. Garifullin. Asymptotic solution to the problem of autoresonance: Outer expansion. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 9, pp. 1605-1616. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_9_a5/

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