2017
Том 69
№ 9

All Issues

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

Davydenko A. A.

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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.

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 10, pp 1611-1626.

Citation Example: Davydenko A. A. On One Method for the Introduction of Local Coordinates in a Neighborhood of an Invariant Toroidal Set // Ukr. Mat. Zh. - 2002. - 54, № 10. - pp. 1336-1347.

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