To the problem of complementability of a periodic frame to a periodic basis

dc.contributor.author	Burylko, O.A.
dc.contributor.author	Davydenko, A.A.
dc.date.accessioned	2021-01-27T18:06:02Z
dc.date.available	2021-01-27T18:06:02Z
dc.date.issued	2001
dc.identifier.citation	To the problem of complementability of a periodic frame to a periodic basis / O.A. Burylko, A.A. Davydenko // Нелінійні коливання. — 2001. — Т. 4, № 3. — С. 458-470. — Бібліогр.: 9 назв. — англ.	uk_UA
dc.identifier.issn	1562-3076
dc.identifier.other	AMS Subject Classification: 34C30, 34C40, 37D10
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/174762
dc.description.abstract	We obtain sufficient conditions (and necessary conditions in the simplest case) of complementability of a periodic frame to a periodic basis for the Euclidean space in terms of monodromy matrices of some linear system of differential equations built by using this periodic frame. We consider the problem of complementability for introducing local coordinates in a neighbourhood of a smooth m-dimensional invariant torus of a dynamic system in the Euclidean space R n if the dimensions satisfy the inequality m + 1 < n ≤ 2m.	uk_UA
dc.description.sponsorship	This work was partial supported by the State Fundation for Fundamental Research (grant no. 01.07/00047).	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Нелінійні коливання
dc.title	To the problem of complementability of a periodic frame to a periodic basis	uk_UA
dc.title.alternative	До проблеми доповнюваності періодичного репера до періодичного базису	uk_UA
dc.title.alternative	К проблеме дополняемости периодического репера до периодического базиса	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA