| bibtype |
J -
Journal Article
|
| ARLID |
0399907 |
| utime |
20240111140838.4 |
| mtime |
20131218235959.9 |
| WOS |
000325824900025 |
| SCOPUS |
84886290240 |
| DOI |
10.1007/s11071-013-1007-4 |
| title
(primary) (eng) |
Difference map and its electronic circuit realization |
| specification |
| page_count |
12 s. |
| media_type |
E |
|
| serial |
| ARLID |
cav_un_epca*0254525 |
| ISSN |
0924-090X |
| title
|
Nonlinear Dynamics |
| volume_id |
74 |
| volume |
3 (2013) |
| page_num |
819-830 |
|
| keyword |
Chaotic behavior |
| keyword |
Lyapunov exponent |
| keyword |
Bifurcation parameter |
| keyword |
Bifurcation diagram |
| keyword |
Stability analysis |
| author
(primary) |
| ARLID |
cav_un_auth*0297166 |
| name1 |
García-Martínez |
| name2 |
M. |
| country |
MX |
|
| author
|
| ARLID |
cav_un_auth*0297167 |
| name1 |
Campos-Cantón |
| name2 |
I. |
| country |
MX |
|
| author
|
| ARLID |
cav_un_auth*0295508 |
| name1 |
Campos-Cantón |
| name2 |
E. |
| country |
MX |
|
| 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 we study the dynamical behavior of the one-dimensional discrete-time system, the so-called iterated map. Namely, a bimodal quadratic map is introduced which is obtained as an amplification of the difference between well-known logistic and tent maps. Thus, it is denoted as the so-called difference map. The difference map exhibits a variety of behaviors according to the selection of the bifurcation parameter. The corresponding bifurcations are studied by numerical simulations and experimentally. The stability of the difference map is studied by means of Lyapunov exponent and is proved to be chaotic according to Devaney’s definition of chaos. Later on, a design of the electronic implementation of the difference map is presented. The difference map electronic circuit is built using operational amplifiers, resistors and an analog multiplier. It turns out that this electronic circuit presents fixed points, periodicity, chaos and intermittency that match with high accuracy to the corresponding values predicted theoretically. |
| reportyear |
2014 |
| RIV |
BC |
| num_of_auth |
4 |
| mrcbC52 |
4 A 4a 20231122135941.9 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0227921 |
| mrcbT16-e |
ENGINEERINGMECHANICAL|MECHANICS |
| mrcbT16-f |
2.424 |
| mrcbT16-g |
0.482 |
| mrcbT16-h |
3.IX |
| mrcbT16-i |
0.01284 |
| mrcbT16-j |
0.553 |
| mrcbT16-k |
5603 |
| mrcbT16-l |
407 |
| mrcbT16-s |
1.203 |
| mrcbT16-4 |
Q1 |
| mrcbT16-B |
40.264 |
| mrcbT16-C |
90.559 |
| mrcbT16-D |
Q3 |
| mrcbT16-E |
Q1 |
| arlyear |
2013 |
| mrcbTft |
\nSoubory v repozitáři: celikovsky-0399907.pdf |
| mrcbU14 |
84886290240 SCOPUS |
| mrcbU34 |
000325824900025 WOS |
| mrcbU56 |
textový dokument 811 KB |
| mrcbU63 |
cav_un_epca*0254525 Nonlinear Dynamics 0924-090X 1573-269X Roč. 74 č. 3 2013 819 830 |
|