| bibtype |
J -
Journal Article
|
| ARLID |
0392926 |
| utime |
20240111140831.5 |
| mtime |
20130625235959.9 |
| WOS |
000320059800012 |
| SCOPUS |
84878928174 |
| DOI |
10.1142/S0218127413500843 |
| title
(primary) (eng) |
Chaos on hyperspace |
| specification |
| page_count |
9 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0256776 |
| ISSN |
0218-1274 |
| title
|
International Journal of Bifurcation and Chaos |
| volume_id |
23 |
| volume |
5 (2013) |
| publisher |
| name |
World Scientific Publishing |
|
|
| keyword |
Hyperspace |
| keyword |
chaos |
| keyword |
shadowing |
| keyword |
Bernoulli shift |
| author
(primary) |
| ARLID |
cav_un_auth*0101066 |
| name1 |
Beran |
| name2 |
Zdeněk |
| full_dept (cz) |
Teorie řízení |
| full_dept (eng) |
Department of Control Theory |
| department (cz) |
TŘ |
| department (eng) |
TR |
| institution |
UTIA-B |
| full_dept |
Department of Control Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0101074 |
| name1 |
Čelikovský |
| name2 |
Sergej |
| full_dept (cz) |
Teorie řízení |
| full_dept |
Department of Control Theory |
| department (cz) |
TŘ |
| department |
TR |
| institution |
UTIA-B |
| full_dept |
Department of Control Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| project |
| project_id |
GA13-20433S |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0292613 |
|
| abstract
(eng) |
In this paper, the chaotic behavior of a set-valued mapping F : X → 2X, where X is a compact space, is investigated. The existence of the generalized shadowing property in the hyperspace 2X is proved. Based on the generalized shadowing property of the set-valued mappings F and the assumption of the existence of an unstable chain recurrent point of the mapping F, it is shown that the Bernoulli system of bi-directional shifts is embedded in the sense of semiconjugacy into the image of mapping F, i.e. Smale’s chaos in the set-valued system F is thereby proved. |
| reportyear |
2014 |
| RIV |
BC |
| num_of_auth |
2 |
| mrcbC52 |
4 A 4a 20231122135642.7 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0221980 |
| mrcbT16-e |
MATHEMATICSINTERDISCIPLINARYAPPLICATIONS|MULTIDISCIPLINARYSCIENCES |
| mrcbT16-f |
1.052 |
| mrcbT16-g |
0.195 |
| mrcbT16-h |
8.III |
| mrcbT16-i |
0.00835 |
| mrcbT16-j |
0.359 |
| mrcbT16-k |
4328 |
| mrcbT16-l |
246 |
| mrcbT16-s |
0.670 |
| mrcbT16-z |
ScienceCitationIndex |
| mrcbT16-4 |
Q1 |
| mrcbT16-B |
29.949 |
| mrcbT16-C |
53.876 |
| mrcbT16-D |
Q3 |
| mrcbT16-E |
Q2 |
| arlyear |
2013 |
| mrcbTft |
\nSoubory v repozitáři: beran-0392926.pdf |
| mrcbU14 |
84878928174 SCOPUS |
| mrcbU34 |
000320059800012 WOS |
| mrcbU56 |
textový dokument 261 kB |
| mrcbU63 |
cav_un_epca*0256776 International Journal of Bifurcation and Chaos 0218-1274 1793-6551 Roč. 23 č. 5 2013 , 1350084-1-1350084-9 World Scientific Publishing |
|