Minimal realizations of autonomous chaotic oscillators based on trans-immittance filters

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F19%3APU131191" target="_blank" >RIV/00216305:26220/19:PU131191 - isvavai.cz</a>
Result on the web
<a href="https://ieeexplore.ieee.org/document/8630955" target="_blank" >https://ieeexplore.ieee.org/document/8630955</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/ACCESS.2019.2896656" target="_blank" >10.1109/ACCESS.2019.2896656</a>

Result language
angličtina
Original language name
Minimal realizations of autonomous chaotic oscillators based on trans-immittance filters
Original language description
This review paper describes a design process toward fully analog realizations of chaotic dynamics that can be considered canonical (minimum number of the circuit elements), robust (exhibit structurally stable strange attractors), and novel. Each autonomous chaotic lumped circuit proposed in this paper can be understood as a looped system, where linear trans-immittance frequency lter interacts with an active nonlinear two-port. The existence of chaos is demonstrated via well-established numerical algorithms that represent the current standard in the eld of nonlinear dynamics, i.e., by calculation of the largest Lyapunov exponent and high-resolution 1-D bifurcation diagrams. The achieved numerical results are put into the context of experimental measurement; observed state trajectories prove a one-to-one correspondence between theoretical expectations and practical outputs, i.e., prescribed strange attractors do not represent the chaotic transients. Finally, short term unpredictability of the chaotic ow is demonstrated via calculation of KaplanYorke dimension that is high, i.e., generated waveforms can nd interesting applications in the elds of chaotic masking, modulation, or chaos-based cryptography.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
20201 - Electrical and electronic engineering

Project
<a href="/en/project/LO1401" target="_blank" >LO1401: Interdisciplinary Research of Wireless Technologies</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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