| bibtype |
C -
Conference Paper (international conference)
|
| ARLID |
0392923 |
| utime |
20240111140831.5 |
| mtime |
20140304235959.9 |
| DOI |
10.1007/978-3-319-00542-3_31 |
| title
(primary) (eng) |
Characteristics of the Chen Attractor |
| specification |
| page_count |
8 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0392920 |
| ISBN |
978-3-319-00541-6 |
| ISSN |
2194-5357 |
| title
|
Nostradamus 2013: Prediction, Modeling and Analysis of Complex Systems |
| part_num |
210 |
| part_title |
Advances In Intelligent Systems and Computing |
| page_num |
305-312 |
| publisher |
| place |
Cham |
| name |
Springer |
| year |
2013 |
|
| editor |
|
| editor |
|
| editor |
| name1 |
Rossler |
| name2 |
O. E. |
|
| editor |
|
| editor |
|
|
| keyword |
chaotic dynamical system |
| keyword |
Lorenz system |
| keyword |
Chen system |
| author
(primary) |
| ARLID |
cav_un_auth*0259382 |
| name1 |
Augustová |
| name2 |
Petra |
| 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*0101066 |
| name1 |
Beran |
| name2 |
Zdeněk |
| 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 |
| source_type |
textový dokument |
| source_size |
506 kB |
|
| cas_special |
| project |
| project_id |
GA13-20433S |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0292613 |
|
| abstract
(eng) |
Within the paper a mathematical representation of the so-called Chen model is described as a particular parametric three-dimensional chaotic dynamical system, i.e. a system of three nonlinear differential equations evolving in time. The main aim of this paper is to find for the Chen system the properties that are known for the Lorenz system and its famous Lorenz attractor. First, the integrals of motion are derived for some parameters of the Chen system. The integrals of motions play an important role in physics, e.g. for conservation laws. Next, the shape of the global attractor of this system is approximated by volumes that contain the attractor. The shape predicts the future behavior of the system. To obtain these results, the already proved fact that the Chen system is a continued transition of the Lorenz system is used. According to our knowledge, the same approach of shifting the known facts about the Lorenz system to a newdynamical system, the Chen system in this context, has not been presented yet. |
| action |
| ARLID |
cav_un_auth*0291709 |
| name |
Nostradamus 2013 |
| place |
Ostrava |
| dates |
03.06.2013-05.06.2013 |
| country |
CZ |
|
| reportyear |
2014 |
| RIV |
BC |
| num_of_auth |
2 |
| presentation_type |
PR |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0221979 |
| confidential |
S |
| arlyear |
2013 |
| mrcbU56 |
textový dokument 506 kB |
| mrcbU63 |
cav_un_epca*0392920 Nostradamus 2013: Prediction, Modeling and Analysis of Complex Systems Advances In Intelligent Systems and Computing 210 978-3-319-00541-6 2194-5357 305 312 Cham Springer 2013 |
| mrcbU67 |
Zelinka I. 340 |
| mrcbU67 |
Chen G. 340 |
| mrcbU67 |
Rossler O. E. 340 |
| mrcbU67 |
Snášel V. 340 |
| mrcbU67 |
Abraham A. 340 |
|