Modeling Deterministic Chaos Using Electronic Circuits

This paper brings a note on systematic circuit synthesis methods for modeling the dynamical systems given by mathematical model. Both classical synthesis and integrator based method is demonstrated via the relatively complicated real physical systems with possible chaotic solution. A variety of the...

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Main Authors: T. Gotthans, Z.Hrubos, J. Petrzela
Format: Article
Language:English
Published: Spolecnost pro radioelektronicke inzenyrstvi 2011-06-01
Series:Radioengineering
Subjects:
Online Access:http://www.radioeng.cz/fulltexts/2011/11_02_438_444.pdf
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author T. Gotthans
Z.Hrubos
J. Petrzela
author_facet T. Gotthans
Z.Hrubos
J. Petrzela
author_sort T. Gotthans
collection DOAJ
description This paper brings a note on systematic circuit synthesis methods for modeling the dynamical systems given by mathematical model. Both classical synthesis and integrator based method is demonstrated via the relatively complicated real physical systems with possible chaotic solution. A variety of the different active building blocks are utilized to make the final circuits as simple as possible while preserving easily measurable voltage-mode state variables. Brief experimental verification, i.e. oscilloscope screenshots, is presented. The observed attractors have some structural stability and good relationship to their numerically integrated counterparts.
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spelling doaj.art-983f23618ad44c4288ed401c757a59012022-12-21T22:56:14ZengSpolecnost pro radioelektronicke inzenyrstviRadioengineering1210-25122011-06-01202438444Modeling Deterministic Chaos Using Electronic CircuitsT. GotthansZ.HrubosJ. PetrzelaThis paper brings a note on systematic circuit synthesis methods for modeling the dynamical systems given by mathematical model. Both classical synthesis and integrator based method is demonstrated via the relatively complicated real physical systems with possible chaotic solution. A variety of the different active building blocks are utilized to make the final circuits as simple as possible while preserving easily measurable voltage-mode state variables. Brief experimental verification, i.e. oscilloscope screenshots, is presented. The observed attractors have some structural stability and good relationship to their numerically integrated counterparts.www.radioeng.cz/fulltexts/2011/11_02_438_444.pdfAutonomous systemstate attractorchaosanalog oscillatordynamical motion
spellingShingle T. Gotthans
Z.Hrubos
J. Petrzela
Modeling Deterministic Chaos Using Electronic Circuits
Radioengineering
Autonomous system
state attractor
chaos
analog oscillator
dynamical motion
title Modeling Deterministic Chaos Using Electronic Circuits
title_full Modeling Deterministic Chaos Using Electronic Circuits
title_fullStr Modeling Deterministic Chaos Using Electronic Circuits
title_full_unstemmed Modeling Deterministic Chaos Using Electronic Circuits
title_short Modeling Deterministic Chaos Using Electronic Circuits
title_sort modeling deterministic chaos using electronic circuits
topic Autonomous system
state attractor
chaos
analog oscillator
dynamical motion
url http://www.radioeng.cz/fulltexts/2011/11_02_438_444.pdf
work_keys_str_mv AT tgotthans modelingdeterministicchaosusingelectroniccircuits
AT zhrubos modelingdeterministicchaosusingelectroniccircuits
AT jpetrzela modelingdeterministicchaosusingelectroniccircuits