Implementation of non-linear oscillators using analog computers for the study of chaotic oscillators
- Conference
- Location
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Canyon, Texas
- Publication Date
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March 10, 2024
- Start Date
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March 10, 2024
- End Date
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March 12, 2024
- Page Count
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12
- DOI
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10.18260/1-2--45385
- Permanent URL
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https://peer.asee.org/45385
- Download Count
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14
Paper Authors
Benjamin C. Flores University of Texas at El Paso
Dr. Benjamin C. Flores joined the faculty of the University of Texas at El Paso (UTEP) in 1990 after receiving his Ph.D. in Electrical Engineering from Arizona State University. He is Professor of Electrical and Computer Engineering.
Hector Erives University of Texas at El Paso
Dr. Hector Erives is an Associate Professor of Practice in the Electrical and Computer Engineering Department at the University of Texas at El Paso from 2018- 2024. He holds a Ph.D. in Electrical and Computer Engineering from the New Mexico State University and worked in the industry from 1996-2004 in various positions. His interests are in engineering education, control systems, and image and signal processing.
Abstract
Over the past decade, we have offered a course dedicated to the study of chaotic signals and systems [Flores et al, 2022]. The course attracts senior and graduate students with an interest in hands-on projects. In the past, as part of the course, these students have implemented non-linear differential equations for harmonic, relaxation, and chaotic oscillators using dual-in-line packaged analog ICs. Typical breadboard electronic troubleshooting often challenges some students’ psychomotor skills and confuses their learning experience, especially when the oscillator performance is already non-linear and dependent on passive parameter tolerances and IC parameters. To mitigate some of these challenges, we propose the use of a hand-held analog computer as a clean alternative for implementing second/third-order, non-linear differential equations. The use of an analog computer simplifies the implementation of an oscillator design, relying on simple connections of adder, multiplier, inverter, and amplifier blocks and enhances student implementation experience. In this talk, we demonstrate the ease of implementation of the harmonic, Van de Pol (relaxation), Lorenz, and Rössler oscillators. Furthermore, we explore their behavior in the time domain, frequency domain, and state space.
Flores, B., Ochoa, H., & Pappu, C. (2022, August). Adapting Chaos Theory for Undergraduate Electrical Engineers. In 2022 ASEE Annual Conference & Exposition.
Flores, B. C., & Erives, H. (2024, March), Implementation of non-linear oscillators using analog computers for the study of chaotic oscillators Paper presented at 2024 ASEE-GSW, Canyon, Texas. 10.18260/1-2--45385
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