Počet záznamov: 1
For graph maps, one scrambled pair implies Li-Yorke chaos
SYS 0209025 LBL 01204^^^^^2200193^^^450 005 20240514085413.3 014 $a 000342294200024 $2 CCC 014 $a 000342294200024 $2 WOS CC. SCIE 014 $a 2-s2.0-84924793658 $2 SCOPUS 017 70
$a 10.1090/S0002-9939-2014-11937-X $2 DOI 100 $a 20141219d2014 m y slo 03 ba 101 0-
$a eng 102 $a US 200 1-
$a For graph maps, one scrambled pair implies Li-Yorke chaos $d Pre zobrazenia grafov, jedna chaotická dvojica implikuje Li-Yorkov chaos $f Sylvie Ruette, Ľubomír Snoha $z slo 330 0-
$a It is known that, for interval and circle maps, the existence of a scrambled pair implies Li-Yorke chaos, in fact the existence of a Cantor scrambled set. We prove that the same result holds for graph maps. We further show that on compact countable metric spaces one scrambled pair implies the existence of an infinite scrambled set 463 -1
$1 001 umb_un_cat*0309471 $1 011 $a 0002-9939 $1 011 $a 1088-6826 $1 200 1 $a Proceedings of the American Mathematical Society $v Vol. 142, no. 6 (2014), pp. 2087-2100 $1 210 $a Providence $c American Mathematical Society $d 2014 606 0-
$3 umb_un_auth*0140335 $a scrambled pair 606 0-
$3 umb_un_auth*0140343 $a Li-Yorkov chaos $X Li-Yorke chaos 606 0-
$3 umb_un_auth*0039537 $a grafy $X charts $X graphs 606 0-
$3 umb_un_auth*0036962 $a metrické priestory $X metric spaces 615 $n 51 $a Matematika 675 $a 51 700 -1
$3 umb_un_auth*0238361 $a Ruette $b Sylvie $4 070 $9 50 701 -0
$3 umb_un_auth*0022260 $a Snoha $b Ľubomír $p UMBFP10 $4 070 $9 50 $f 1955- $T Katedra matematiky 801 $a SK $b BB301 $g AACR2 $9 unimarc sk T85 $x existuji fulltexy
Počet záznamov: 1