Title :
Experimental confirmation of chaos in dynamical systems with line equilibirum
Author_Institution :
Dept. of Radio Electron., Brno Univ. of Technol., Brno, Czech Republic
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;
Conference_Titel :
Radioelektronika (RADIOELEKTRONIKA), 2015 25th International Conference
Conference_Location :
Pardubice
Print_ISBN :
978-1-4799-8117-5
DOI :
10.1109/RADIOELEK.2015.7129001