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Parametric Resonance in Adiabatic Oscillators

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Abstract

We use the averaging method and Levinson’s fundamental theorem to study phenomenon of parametric resonance in some new equations from the class of adiabatic oscillators.

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Authors and Affiliations

  1. Department of Mathematics, Yaroslavl State University, Sovetskaya str. 14, Yaroslavl, 150000, Russia

    Vladimir Burd & Pavel Nesterov

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  1. Vladimir Burd
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  2. Pavel Nesterov
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Correspondence to Pavel Nesterov.

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Burd, V., Nesterov, P. Parametric Resonance in Adiabatic Oscillators. Results. Math. 58, 1–15 (2010). https://doi.org/10.1007/s00025-010-0043-3

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  • DOI: https://doi.org/10.1007/s00025-010-0043-3

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