DocumentCode
713970
Title
Experimental confirmation of chaos in dynamical systems with line equilibirum
Author
Petrzela, Jiri
Author_Institution
Dept. of Radio Electron., Brno Univ. of Technol., Brno, Czech Republic
fYear
2015
fDate
21-22 April 2015
Firstpage
51
Lastpage
55
Abstract
This brief paper follows a very recent discoveries involving a class of the third-order autonomous deterministic dynamical systems with degenerated, namely line equilibrium. It is proved that the corresponding mathematical models can be realized as fully analogue chaotic oscillators with commercially available active elements. The theoretical background shows typical state attractors, bifurcation diagrams with respect to variable circuit parameters as well as the basins of attraction. The proposed design procedure is straightforward and final networks can be marked as canonical in the sense of minimum necessary circuit components. The experimental verification is also presented in the sense of bifurcation sequence measured by digital oscilloscope.
Keywords
analogue circuits; bifurcation; chaos; oscillators; active element; analogue chaotic oscillator; bifurcation diagram; bifurcation sequence; circuit component; digital oscilloscope; line equilibrium; mathematical model; third-order autonomous deterministic dynamical system; Bifurcation; Chaotic communication; Differential equations; Integrated circuit modeling; Mathematical model; Oscillators; analogue oscillator; chaos; circuit synthesis; line equilibria; nonlinear dynamics;
fLanguage
English
Publisher
ieee
Conference_Titel
Radioelektronika (RADIOELEKTRONIKA), 2015 25th International Conference
Conference_Location
Pardubice
Print_ISBN
978-1-4799-8117-5
Type
conf
DOI
10.1109/RADIOELEK.2015.7129001
Filename
7129001
Link To Document