2017
Том 69
№ 9

All Issues

On Regularity of Certain Linear Expansions of Dynamical Systems on a Torus

Kulik V. L., Stepanenko N. V.

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Abstract

We investigate the problem of the existence of the Green–Samoilenko function for linear expansions of dynamical systems on a torus of the form $$\frac{{d\phi }}{{dt}} = a(\phi ),{\text{ }}C(\phi )\frac{{d\phi }}{{dt}} + \frac{1}{2}\dot C(\phi )x = A(\phi )x,$$ where C(ϕ) ∈ C′(T m; a) is a nondegenerate symmetric matrix.

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 4, pp 700-708.

Citation Example: Kulik V. L., Stepanenko N. V. On Regularity of Certain Linear Expansions of Dynamical Systems on a Torus // Ukr. Mat. Zh. - 2002. - 54, № 4. - pp. 568-574.

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