On some properties of the set of Lyapunov 's functions in the theory of linear extensions of dynamical systems on the torus

A form of some sets of quadratic forms having a sign-fixed derivative by virtue of the linear extension of the dynamical system on a torus is proposed. The problem of comparison of different sets with each other is investigated.

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Datum:2001
1. Verfasser: Stepanenko, N.V.
Format: Artikel
Sprache:Ukrainian
Veröffentlicht: Інститут математики НАН України 2001
Schriftenreihe:Нелінійні коливання
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/174758
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:On some properties of the set of Lyapunov 's functions in the theory of linear extensions of dynamical systems on the torus / N.V. Stepanenko // Нелінійні коливання. — 2001. — Т. 4, № 4. — С. 539-546. — Бібліогр.: 2 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine