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On One Method for the Introduction of Local Coordinates in a Neighborhood of an Invariant Toroidal Set

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Abstract

We consider one method for the introduction of local coordinates in a neighborhood of an m-dimensional invariant torus of a dynamical system of differential equations in the Euclidean space R n in dimensions satisfying the inequalities m + 1 < n ≤ 2m.

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Authors and Affiliations

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

    A. A. Davydenko

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  1. A. A. Davydenko
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Davydenko, A.A. On One Method for the Introduction of Local Coordinates in a Neighborhood of an Invariant Toroidal Set. Ukrainian Mathematical Journal 54, 1611–1626 (2002). https://doi.org/10.1023/A:1023776018657

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  • DOI: https://doi.org/10.1023/A:1023776018657

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