NONLINEAR COUPLED OSCILLATORS AND FOURIER TRANSFORMS - AN ADVANCED UNDERGRADUATE LABORATORY

Deyoung PA.; Levy J.; Lorenz W.; Lapointe D.

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NONLINEAR COUPLED OSCILLATORS AND FOURIER TRANSFORMS - AN ADVANCED UNDERGRADUATE LABORATORY

机译：非线性耦合振荡器和傅立叶变换-先进的地下实验室

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As part of an upper-level laboratory course, the oscillations of one and two mass systems on an airtrack were measured in real time. Both linear oscillations with spring forces and nonlinear oscillations with magnetic forces were analyzed with fast Fourier transforms and compared to theoretical predictions. The results for the coupled linear oscillator agree with the theoretical values to within 0.5%. The coupled nonlinear oscillator results were modeled numerically. (C) 1996 American Association of Physics Teachers. [References: 7]

机译：作为高级实验室课程的一部分，实时测量了一个和两个质量系统在气道上的振荡。使用快速傅里叶变换分析了带有弹簧力的线性振动和带有磁力的非线性振动，并与理论预测进行了比较。耦合线性振荡器的结果与理论值相符，在0.5％以内。对耦合的非线性振荡器结果进行数值建模。（C）1996年美国物理教师协会。 [参考：7]

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《American journal of physics》 |1996年第7期|共5页
作者
Deyoung PA.; Levy J.; Lorenz W.; Lapointe D.;
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正文语种 eng
中图分类物理学;
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Inverted pendulum;

机译：倒立摆;

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1. NONLINEAR COUPLED OSCILLATORS AND FOURIER TRANSFORMS - AN ADVANCED UNDERGRADUATE LABORATORY [J] . Deyoung PA., Levy J., Lorenz W., American journal of physics . 1996,第7期

机译：非线性耦合振荡器和傅立叶变换-先进的地下实验室
2. An X-ray diffractometer coupled with diffuse reflectance infrared Fourier transform spectroscopy and gas chromatography for in situ and in operando characterization: An innovative analytical laboratory instrument [J] . Braconnier L., Clémen?on I., Legens C., Journal of Applied Crystallography . 2013,第1期

机译：X射线衍射仪结合漫反射红外傅里叶变换光谱和气相色谱仪进行原位和操作表征：创新的分析实验室仪器
3. A modified homotopy perturbation method coupled with the Fourier transform for nonlinear and singular Lane-Emden equations [J] . A. Nazari-Golshan, S.S. Nourazar, H. Ghafoori-Fard, Applied mathematics letters . 2013,第10期

机译：非线性和奇异Lane-Emden方程的改进的同伦摄动方法与傅立叶变换的耦合
4. Advanced in Mach-Zehnder Interferometer Using Windowed Fourier Transform to Analyse Coupled Heat and Mass Transfer [C] . Amirhossein Ahadi, M. Ziad Saghir International Conference on Advanced Computational Engineering and Experimenting . 2020

机译：使用窗口傅里叶变换的Mach-Zehnder干涉仪高级分析耦合热量和传质
5. The Existence of Spontaneous Parity-Time Symmetry Breaking, Asymmetric Transport, and Defect Modes in Nonlinearly Coupled van der Pol Oscillators. [D] . Jutley, Jessica J. 2017

机译：非线性耦合范德波尔振荡器的自发奇偶时间对称性破坏，不对称传输和缺陷模式的存在。
6. Quantum synchronization of two mechanical oscillators in coupled optomechanical systems with Kerr nonlinearity [O] . Guo-jian Qiao, Hui-xia Gao, Hao-di Liu, -1

机译：具有Kerr非线性的耦合光机械系统中两个机械振荡器的量子同步
7. Exploring viscous damping in undergraduate Physics laboratory using electromagnetically coupled oscillators [O] . Jayaprasad, N., Sadani, P., Bhalerao, M., 2013

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8. Comparison of Arithmetic Requirements for the PFA (Prime Factor Algorithm), WFTA (Winograd Fourier Transform Algorithm), SWIFT, MFFT (Mixed Radix Fast Fourier Transform), FFT (Fast Fourier Transform) and DFT (Discrete Fourier Transform) Algorithms. [R] . Hicks, R. C. 1982

机译：pFa（素因子算法），WFTa（Winograd傅立叶变换算法），sWIFT，mFFT（混合基线快速傅里叶变换），FFT（快速傅立叶变换）和DFT（离散傅立叶变换）算法的算术要求的比较。

NONLINEAR COUPLED OSCILLATORS AND FOURIER TRANSFORMS - AN ADVANCED UNDERGRADUATE LABORATORY

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