Stable transitivity for extensions of hyperbolic systems by semidirect products of compact and nilpotent Lie groups

Autor:	Viorel Niţică
Rok vydání:	2011
Předmět:	Discrete mathematics Pure mathematics Transitive relation Class (set theory) Semidirect product Applied Mathematics Lie group Extension (predicate logic) Nilpotent Hyperbolic set Discrete Mathematics and Combinatorics Nilpotent group Analysis Mathematics
Zdroj:	Discrete & Continuous Dynamical Systems - A. 29:1197-1204
ISSN:	1553-5231
DOI:	10.3934/dcds.2011.29.1197
Popis:	Assume that $X$ is a hyperbolic basic set for $f:X\to X$. We show new examples of Lie group fibers $G$ for which, in the class of $C^r, r>0,$ $G$-extensions of $f$, those that are transitive are open and dense. The fibers are semidirect products of compact and nilpotent groups.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::53da58ca2a0c629dfc42ae9ab965e8d1 https://doi.org/10.3934/dcds.2011.29.1197 Zobrazit plný text záznamu