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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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Spolecnost pro radioelektronicke inzenyrstvi
2011-06-01
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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. |
first_indexed | 2024-12-14T15:18:54Z |
format | Article |
id | doaj.art-983f23618ad44c4288ed401c757a5901 |
institution | Directory Open Access Journal |
issn | 1210-2512 |
language | English |
last_indexed | 2024-12-14T15:18:54Z |
publishDate | 2011-06-01 |
publisher | Spolecnost pro radioelektronicke inzenyrstvi |
record_format | Article |
series | Radioengineering |
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 |