dorsal/arxiv
View SchemaThe Yo-yo Oscillator (Analysis of a Nonlinear System using Spice)
| Authors | Randall D. Peters |
|---|---|
| Categories | |
| ArXiv ID | physics/0503030 |
| URL | https://arxiv.org/abs/physics/0503030 |
Abstract
Unlike the simplest (Hooke's law spring) oscillator, where the restoring force is in magnitude proportional to the displacement; the yo-yo oscillator has a constant force-magnitude. In other words, its potential energy function is linear, as contrasted to the quadratic (harmonic) potential of the simple harmonic oscillator. The linear potential is responsible for a nonlinear equation of motion which yields many surprising solutions. Rich in complexity, these solutions are in some cases chaotic. Numerical solutions to the equation of motion are presently obtained using the 'simulation program for integrated circuit engineering' (Spice). The circuit employed involves operational amplifiers and solid state switches.
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"abstract": "Unlike the simplest (Hooke\u0027s law spring) oscillator, where the restoring\nforce is in magnitude proportional to the displacement; the yo-yo oscillator\nhas a constant force-magnitude. In other words, its potential energy function\nis linear, as contrasted to the quadratic (harmonic) potential of the simple\nharmonic oscillator. The linear potential is responsible for a nonlinear\nequation of motion which yields many surprising solutions. Rich in complexity,\nthese solutions are in some cases chaotic. Numerical solutions to the equation\nof motion are presently obtained using the \u0027simulation program for integrated\ncircuit engineering\u0027 (Spice). The circuit employed involves operational\namplifiers and solid state switches.",
"arxiv_id": "physics/0503030",
"authors": [
"Randall D. Peters"
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"title": "The Yo-yo Oscillator (Analysis of a Nonlinear System using Spice)",
"url": "https://arxiv.org/abs/physics/0503030"
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