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Two Frequency Systems; Neistadt’s Results

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Multiphase Averaging for Classical Systems

Part of the book series: Applied Mathematical Sciences ((AMS,volume 72))

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Abstract

In this chapter, following [Nei2], we give the most detailed and concrete account of the mechanism of passage through resonance, which may be described, for two frequency systems, by a nonlinear pendulum model (Section 4.3). By making use of more abstract techniques, more general results are obtained in the two subsequent chapters, but these results are not as strong when applied to the particular case of two frequency systems and give less insight into the details of the phenomena.

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© 1988 Springer Science+Business Media New York

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Lochak, P., Meunier, C. (1988). Two Frequency Systems; Neistadt’s Results. In: Multiphase Averaging for Classical Systems. Applied Mathematical Sciences, vol 72. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1044-3_4

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  • DOI: https://doi.org/10.1007/978-1-4612-1044-3_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-96778-3

  • Online ISBN: 978-1-4612-1044-3

  • eBook Packages: Springer Book Archive

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