Особенности динамики бесконечнократных внутренних по Трохимчуку эпиморфизмов

Trokhimchuk inner mappings are continuous open isolated endomorphisms. The paper consider the Trokhimchuk inner mappings with infinite number of preimages from a dynamical systems view. Examples given that shows an essential difference from the dynamics of inner mappings with finite number of preim...

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Datum:2009
1. Verfasser: Власенко, И.Ю.
Format: Artikel
Sprache:Russisch
Veröffentlicht: Інститут математики НАН України 2009
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Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/6316
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Особенности динамики бесконечнократных внутренних по Трохимчуку эпиморфизмов / И.Ю. Власенко // Збірник праць Інституту математики НАН України. — 2009. — Т. 6, № 2. — С. 373-389. — Бібліогр.: 7 назв. — рос.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Zusammenfassung:Trokhimchuk inner mappings are continuous open isolated endomorphisms. The paper consider the Trokhimchuk inner mappings with infinite number of preimages from a dynamical systems view. Examples given that shows an essential difference from the dynamics of inner mappings with finite number of preimages. A subclass of Trokhimchuk inner mappings is defined. It is shown that its dynamical properties are similar to ones of inner mappings with finite number of preimages and results on orbit structure are obtained.
ISSN:1815-2910