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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20201 - Electrical and electronic engineering

Projekt

<a href="/cs/project/LO1401" target="_blank" >LO1401: Interdisciplinární výzkum bezdrátových technologií</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2019

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

IEEE Access

ISSN

2169-3536

e-ISSN

—

Svazek periodika

7

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

17

Strana od-do

17561-17577

Kód UT WoS článku

000459416800001

EID výsledku v databázi Scopus

2-s2.0-85061752554