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arXiv physics/0503030physics.ed-phphysics.comp-ph
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溜溜球振荡器(使用Spice分析非线性系统)

The Yo-yo Oscillator (Analysis of a Nonlinear System using Spice)

Randall D. Peters

摘要:

与最简单的(胡克定律弹簧)振荡器不同,回复力的大小与位移成比例;溜溜球振荡器具有恒定的力大小。换句话说,它的势能函数是线性的,与简谐振子的二次(谐波)势相反。线性势是一个非线性的运动方程,它产生了许多令人惊讶的解决方案。这些解决方案非常复杂,在某些情况下是混乱的。运动方程的数值解目前使用“集成电路工程模拟程序”(Spice)获得。所采用的电路包括运算放大器和固态开关。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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