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Averaging in a system with several limit cycles

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Abstract

We consider the construction of the positive cone [7] by the method of averaging, which makes it possible to determine oscillatory modes in a many-frequency system with a polynomial nonlinearity and to construct curves dividing identical behavior of the trajectories. The starting point is the set of results given in [1–6].

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Authors
  1. N. V. Nikitina
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Additional information

S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of the Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 30, No. 9, pp. 88–94, September, 1994.

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Nikitina, N.V. Averaging in a system with several limit cycles. Int Appl Mech 30, 727–734 (1994). https://doi.org/10.1007/BF00847088

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  • DOI: https://doi.org/10.1007/BF00847088

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