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On the 70th birthday of L.P. Shilnikov
Moduli of local one-dimensional dynamical systems at a hyperbolic fixed point
G. R. Belitskii, V. A. Tkachenko Department of Mathematics,
Ben-Gurion University of the Negev,
Beer-Sheva 84105, Israel
Аннотация:
Functional moduli of a smooth conjugacy of local $C^1$-diffeomorphisms and $C^1$-flows at a hyperbolic fixed point are introduced. Conditions for the smooth linearization, existence of iterative roots and embeddability in terms of these moduli are found.
Ключевые слова:
local diffeomorphisms, local flows, smooth conjugacy, hyperbolic fixed point, functional moduli.
Поступила в редакцию: 25.07.2005 Принята в печать: 07.09.2005
Образец цитирования:
G. R. Belitskii, V. A. Tkachenko, “Moduli of local one-dimensional dynamical systems at a hyperbolic fixed point”, Regul. Chaotic Dyn., 11:2 (2006), 141–154
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd664 https://www.mathnet.ru/rus/rcd/v11/i2/p141
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Страница аннотации: | 87 |
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