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On some problems in perturbation theory of smooth invariant tori of dynamical systems

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Abstract

Problems related to perturbation theory of smooth invariant tori of dynamical systems in an-dimensional Euclidean spaceR n are considered. The clarification of these problems plays an important role for perturbation theory suggested by the author in [1] and extends the scope of its application.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    A. M. Samoilenko (Academician, Ukrainian Academy of Sciences)

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  1. A. M. Samoilenko
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 12, pp. 1665–1699, December, 1994.

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Samoilenko, A.M. On some problems in perturbation theory of smooth invariant tori of dynamical systems. Ukr Math J 46, 1848–1889 (1994). https://doi.org/10.1007/BF01063172

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  • DOI: https://doi.org/10.1007/BF01063172

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