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Chua’s Circuit for Experimenters Using Readily Available Parts from a Hobby Electronics Store

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Conference

2015 ASEE Annual Conference & Exposition

Location

Seattle, Washington

Publication Date

June 14, 2015

Start Date

June 14, 2015

End Date

June 17, 2015

ISBN

978-0-692-50180-1

ISSN

2153-5965

Conference Session

Division Experimentation & Lab-oriented Studies: Electrical and Computer Engineering Labs

Tagged Division

Division Experimentation & Lab-Oriented Studies

Page Count

15

Page Numbers

26.348.1 - 26.348.15

DOI

10.18260/p.23687

Permanent URL

https://peer.asee.org/23687

Download Count

484

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Paper Authors

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Valentin Siderskiy NYU Polytechnic School of Engineering

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Valentin Siderskiy received his B.Sc. degree from the NYU Polytechnic School of Engineering and M.Sc. degree from Columbia University. He conducts research in the Mechatronics and Controls Laboratory, where his interests include controls and chaos. Siderskiy is also the CTO of a technology startup.

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Aatif Ahmed Mohammed NYU Polytechnic School of Engineering

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Aatif Mohammed is currently enrolled in his second year of B.S. Mechanical Engineering at NYU Polytechnic School of Engineering. He was a summer researcher at the Mechatronics and Controls Laboratory in 2014. Aatif was involved in the development of a cost effective version of the classic Chua's Circuit.

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Vikram Kapila NYU Polytechnic School of Engineering Orcid 16x16 orcid.org/0000-0001-5994-256X

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Vikram Kapila is a Professor of Mechanical Engineering at NYU Polytechnic School of Engineering (SoE), where he directs a Mechatronics and Control Laboratory, a Research Experience for Teachers Site in Mechatronics and Entrepreneurship, a GK-12 Fellows project, and a DR K-12 research project, all funded by NSF. He has held visiting positions with the Air Force Research Laboratories in Dayton, OH. His research interests include K-12 STEM education, mechatronics, robotics, and control system technology. Under Research Experience for Teachers Site and GK-12 Fellows programs, funded by NSF, and the Central Brooklyn STEM Initiative (CBSI), funded by six philanthropic foundations, he has conducted significant K-12 education, training, mentoring, and outreach activities to integrate engineering concepts in science classrooms and labs of dozens of New York City public schools. He received NYU-SoE’s 2002, 2008, 2011, and 2014 Jacobs Excellence in Education Award, 2002 Jacobs Innovation Grant, 2003 Distinguished Teacher Award, and 2012 Inaugural Distinguished Award for Excellence in the category Inspiration through Leadership. Moreover, he is a recipient of 2014-2015 University Distinguished Teaching Award at NYU. In 2004, he was selected for a three-year term as a Senior Faculty Fellow of NYU-SoE’s Othmer Institute for Interdisciplinary Studies. His scholarly activities have included 3 edited books, 7 chapters in edited books, 1 book review, 55 journal articles, and 109 conference papers. He has mentored 1 B.S., 16 M.S., and 4 Ph.D. thesis students; 31 undergraduate research students and 11 undergraduate senior design project teams; over 300 K-12 teachers and 100 high school student researchers; and 18 undergraduate GK-12 Fellows and 59 graduate GK-12 Fellows. Moreover, he directs K-12 education, training, mentoring, and outreach programs that currently enrich the STEM education of over 1,100 students annually.

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Abstract

Chua’s Circuit for Experimenters Using Readily Available Parts from a Hobby Electronics StoreThe Chua’s circuit was first developed in 1983 and is renowned for being the chaotic circuit thatis most simple to construct. Several books and articles have been written on constructing Chua’scircuits in several variations. The circuit is “simple” to construct, provided that all the necessarycomponents are readily available along with all the measuring tools required to observe thechaotic attractor. The traditional Chua’s circuit consists of three energy storing electricalcomponents, specifically two capacitors and one inductor. Numerous papers have consideredalternative designs of Chua’s circuit to eliminate the inductor. Some reasons for this include: i) The changing state to be measured for an inductor is the current passing through it, which is difficult to measure accurately. ii) The inductance value required to build the circuit may not be readily available. iii) Often, the parasitic resistance of the inductor can be large to prevent the Chua’s circuit to not function as intended.A common technique is to replace the inductor with an inductor-gyrator circuit. Although Chua’scircuit can be built readily by using available components, the observations of the attractor andthe nonlinear phenomena of bifurcation are commonly done by using an oscilloscope, which cancost few hundred to couple of thousand dollars. An alternative inexpensive solution is to use the“Line-In” port of a desktop sound card, which can provide two analog input signals with asampling rate of 44 kHz or more.The recommended procedure to build a Chua’s circuit using readily available resources waspublished in 1990s. Currently, these prior solutions are not directly applicable for the commonhobbyist. Over the past three decades many hobby electronics stores, where one may haveacquired all necessary components to build a Chua’s circuit (except the inductor), are no longerin business in the United States. Franchises such as RadioShack and Fry’s Electronics are theonly locations where one may acquire electronic components (other than from online vendors)but their selection is very limited. Their stock for hobby electronics is currently geared to supportprogrammable development platforms (e.g., Arduino and Raspberry Pi) instead of analogelectronics. Moreover, the measurement of analog signals using a Line-In port of a desktopsound card is no longer a relevant solution to replace an oscilloscope. The 1990’s desktops camecommonly equipped with a sound card which included a Line-In port. Current computer marketis split between desktop and laptop computers, and almost all laptops do not have a Line-In port.This paper will present a Chua’s circuit that can be constructed entirely out of RadioShackcomponents, and show that an external USB audio sound card can be used as an inexpensivereplacement to an oscilloscope and a desktop sound card. This solution allows the commonhobbyist, curious student, or educator to build a chaotic circuit in a short period of time. Thiswork can make chaotic systems more accessible and easily integrated in student projects orclassroom demonstrations. Courses in which students may benefit from a live demonstration of achaotic circuit include circuit theory, electronics, nonlinear dynamics and chaos, nonlineardifferential equations, applied nonlinear control theory, dynamic system modeling, and others indepartments such as electrical engineering, mechanical engineering, physics, and mathematics.

Siderskiy, V., & Mohammed, A. A., & Kapila, V. (2015, June), Chua’s Circuit for Experimenters Using Readily Available Parts from a Hobby Electronics Store Paper presented at 2015 ASEE Annual Conference & Exposition, Seattle, Washington. 10.18260/p.23687

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