Title : ( CRITERION FOR NONEXISTENCE HORSESHOE-LIKE IN C1 TOPOLOGY )
Authors: Ali Reza Zamani Bahabadi ,
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Abstract
n this paper we show that if $\\\\Lambda\\\\subset M$ is a closed invariant set and $p\\\\in\\\\Lambda$ is a hyperbolic saddle periodic point satisfying condition $A$ with real and positive eigenvalues, then $\\\\Lambda$ is not horseshoe-like.
Keywords
, hyperbolic set, partially hyperbolic set, horseshoe
@article{paperid:1074525,
author = {Zamani Bahabadi, Ali Reza},
title = {CRITERION FOR NONEXISTENCE HORSESHOE-LIKE IN C1 TOPOLOGY},
journal = {Italian Journal of Pure and Applied Mathematics},
year = {2019},
volume = {41},
number = {41},
month = {April},
issn = {2239-0227},
pages = {290--296},
numpages = {6},
keywords = {hyperbolic set; partially hyperbolic set; horseshoe},
}
%0 Journal Article
%T CRITERION FOR NONEXISTENCE HORSESHOE-LIKE IN C1 TOPOLOGY
%A Zamani Bahabadi, Ali Reza
%J Italian Journal of Pure and Applied Mathematics
%@ 2239-0227
%D 2019
