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

• Published in: Нелінійні коливання
• Date: 2001
• Main Author: Stepanenko, N.V.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2001
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/174758
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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.