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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| Date: | 2001 |
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| Main Author: | |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут математики НАН України
2001
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| Series: | Нелінійні коливання |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/174758 |
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| 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. |