TY - JOUR AU - О. A. Boichuk PY - 2007/01/25 Y2 - 2024/03/29 TI - A criterion for the existence of the unique invariant torus of a linear extension of dynamical systems JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 59 IS - 1 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/3288 AB - 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. ER -