Numerical and perturbative solutions of the anharmonic oscillator.

机译：非谐振子的数值和摄动解。

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Numerical and perturbative methods are used to solve the differential equation of the undamped unforced anharmonic oscillator. Two solutions are compared. They appear to be in good agreement with each other. In addition, the effects of the damping and driving force on the frequency response function of the nonlinear oscillator are studied numerically. Subharmonic and superharmonic resonances which are predicted by the perturbative solution are observed. It is found that the damping factor and the driving force amplitude have substantial effects on the relative strength of the subharmonic and superharmonic resonances.

机译：数值和摄动方法被用来求解无阻尼无力非谐振子的微分方程。比较了两种解决方案。他们似乎彼此非常吻合。另外，数值研究了阻尼和驱动力对非线性振荡器频率响应函数的影响。观察到由微扰解预测的次谐波和超谐波共振。发现阻尼因子和驱动力振幅对次谐波和超谐波共振的相对强度具有实质性影响。

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作者
Xue, Zhenfang.;
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作者单位

Central Michigan University.;

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授予单位 Central Michigan University.;
学科 Physics.
学位 M.S.
年度 1990
页码 47 p.
总页数 47
原文格式 PDF
正文语种 eng
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机译：静态四阶失谐对时滞谐波频率线性振荡子量子动力学的影响-微扰分析和数值计算
2. An alternative simple solution of the sextic anharmonic oscillator and perturbed coulomb problems [J] . Ikhdair SM, Sever R International Journal of Modern Physics, C. Physics and Computers . 2007,第10期

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3. The numerical solution of fourth order nonlinear singularly perturbed boundary value problems via 10-point subdivision scheme based numerical algorithm [J] . Syeda Tehmina Ejaz, Dumitru Baleanu, Ghulam Mustafa, AIP Advances . 2020,第9期

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4. Numerical Solutions of Anharmonic Vibration of BaO and SrO Molecules [C] . Sidikrubadi Pramudito, Nugraha Wanda Sanjaya, Tony Sumaryada International Conference on Theoretical and Applied Physics . 2016

机译：BaO和SrO分子的anharmonic振动的数值解
5. Electrically-perturbed Belousov-Zhabotinskii oscillator. [D] . Kshirsagar, Girish Sharad. 1989

机译：电扰动的Belousov-Zhabotinskii振荡器。
6. Asymptotic Bounds for the Time-Periodic Solutions to the Singularly Perturbed Ordinary Differential Equations [O] . Gabil M. Amiraliyev, Aysenur Ucar 2013

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7. An alternative simple solution of the sextic anharmonic oscillator and perturbed Coulomb problems [O] . Sameer M. Ikhdair, Ramazan Sever 2008

机译：一种替代的简单解决方案，即sextic非谐振子和扰动库仑问题
8. Complex Saddle Points Versus Dilute Gas Approximation in the Double Well Anharmonic Oscillator. [R] . Richard, J. L., Rouet, A. 1981

机译：双阱非谐振子中复杂鞍点与稀气近似。

Numerical and perturbative solutions of the anharmonic oscillator.

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