| bibtype |
J -
Journal Article
|
| ARLID |
0542173 |
| utime |
20240111141051.4 |
| mtime |
20210506235959.9 |
| SCOPUS |
85105606088 |
| WOS |
000646944500001 |
| DOI |
10.1142/S0218127421500796 |
| title
(primary) (eng) |
Generalized Lorenz Canonical Form Revisited |
| specification |
| page_count |
15 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0256776 |
| ISSN |
0218-1274 |
| title
|
International Journal of Bifurcation and Chaos |
| volume_id |
31 |
| publisher |
| name |
World Scientific Publishing |
|
|
| keyword |
Generalized Lorenz system |
| keyword |
generalized Lorenz canonical form |
| keyword |
hyperbolic generalized Lorenz system |
| keyword |
hyperbolic generalized Lorenz canonical form. |
| author
(primary) |
| ARLID |
cav_un_auth*0101074 |
| name1 |
Čelikovský |
| name2 |
Sergej |
| institution |
UTIA-B |
| full_dept (cz) |
Teorie řízení |
| full_dept (eng) |
Department of Control Theory |
| department (cz) |
TŘ |
| department (eng) |
TR |
| full_dept |
Department of Control Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0015678 |
| name1 |
Chen |
| name2 |
G. |
| country |
CN |
|
| source |
|
| source |
|
| cas_special |
| project |
| project_id |
GA19-05872S |
| agency |
GA ČR |
| country |
CZ |
| ARLID |
cav_un_auth*0376352 |
|
| abstract
(eng) |
This paper completes the description of the generalized Lorenz system (GLS) and hyperbolic generalized Lorenz system (HGLS) along with their canonical forms (GLCF, HGLCF), mostly presented earlier, by deriving explicit state transformation formulas to prove the equivalenc between GLS and GLCF, as well as between HGLS and HGLCF. Consequently, complete formulations of the generalized Lorenz canonical systems and forms, and their hyperbolic settings, are obtained and presented. Only potentially chaotic systems are classified, which significantly helps clarify the respective canonical forms. To do so, some tools for systems to exclude chaotic behavior are developed, which are interesting in their own right for general dynamical systems theory. The new insight may inspire future investigations of generalized and canonical formulations of some other types of chaotic systems. |
| result_subspec |
WOS |
| RIV |
BC |
| FORD0 |
20000 |
| FORD1 |
20200 |
| FORD2 |
20201 |
| reportyear |
2022 |
| num_of_auth |
2 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0320102 |
| mrcbC61 |
1 |
| cooperation |
| ARLID |
cav_un_auth*0408747 |
| name |
Department of Electrical Engineering, City University of Hong Kong, Hong Kong SAR, P. R. China |
|
| confidential |
S |
| article_num |
2150079 |
| mrcbC86 |
2 Article Mathematics Interdisciplinary Applications|Multidisciplinary Sciences |
| mrcbC91 |
C |
| mrcbT16-e |
MATHEMATICSINTERDISCIPLINARYAPPLICATIONS|MULTIDISCIPLINARYSCIENCES |
| mrcbT16-j |
0.439 |
| mrcbT16-s |
0.689 |
| mrcbT16-D |
Q3 |
| mrcbT16-E |
Q2 |
| arlyear |
2021 |
| mrcbU14 |
85105606088 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000646944500001 WOS |
| mrcbU56 |
článek v odborném periodiku 207,09 KB |
| mrcbU63 |
cav_un_epca*0256776 International Journal of Bifurcation and Chaos 0218-1274 1793-6551 Roč. 31 č. 5 2021 World Scientific Publishing |
|