NDLI: Experimental confirmation of chaos in dynamical systems with line equilibirum

Content Provider	IEEE Xplore Digital Library
Author	Petrzela, J.
Copyright Year	2015
Description	Author affiliation: Dept. of Radio Electron., Brno Univ. of Technol., Brno, Czech Republic (Petrzela, J.)
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.
Starting Page	51
Ending Page	55
File Size	2190096
Page Count	5
File Format	PDF
ISBN	9781479981175
e-ISBN	9781479981199
DOI	10.1109/RADIOELEK.2015.7129001
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-04-21
Publisher Place	Czech Republic
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Chaotic communication chaos analogue oscillator Differential equations Bifurcation line equilibria Mathematical model circuit synthesis Integrated circuit modeling nonlinear dynamics Oscillators
Content Type	Text
Resource Type	Article

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