2017
Том 69
№ 9

All Issues

A criterion for the existence of the unique invariant torus of a linear extension of dynamical systems

Boichuk A. A.

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Abstract

Under the assumption that a linear homogeneous system defined on the direct product of a torus and the Euclidean space is exponentially dichotomous on semiaxes, we obtain a necessary and sufficient condition for the existence of the unique invariant torus of the corresponding inhomogeneous linear system.

English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 1, pp 1-11.

Citation Example: Boichuk A. A. A criterion for the existence of the unique invariant torus of a linear extension of dynamical systems // Ukr. Mat. Zh. - 2007. - 59, № 1. - pp. 3–13.

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