| 含频率涨落的非线性阻尼振子的定态几率密度 |
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| 引用本文： | 彭圣儒,周沧涛.含频率涨落的非线性阻尼振子的定态几率密度[J].湖南师范大学自然科学学报,1989,12(4):312-317. |
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| 作者姓名： | 彭圣儒 周沧涛 |
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| 作者单位： | 湖南师大，西北大学 |
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| 摘 要： |
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| 关 键 词： | 噪声 频率 振子 定态 几率密度 |
STATIONARY PROBABILITY DENSITY OF A NONLINEAR DAMPING OSSILLATOR WITH FLUCTUATING FREQUENCY |
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| Peng Shengru Hunan Normal University Zhou Cangtao Northwest University.STATIONARY PROBABILITY DENSITY OF A NONLINEAR DAMPING OSSILLATOR WITH FLUCTUATING FREQUENCY[J].Journal of Natural Science of Hunan Normal University,1989,12(4):312-317. |
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| Authors: | Peng Shengru Hunan Normal University Zhou Cangtao Northwest University |
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| Institution: | Peng Shengru Hunan Normal University Zhou Cangtao Northwest University |
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| Abstract: | The stationary probability density of the nonlinear damping oscillator with fluctuating frequency obeys a three dimensional Fokker-Plank equation(FPE) if we Consider Ornstain-Uhlenbeck(OU)colored noise as a new variable.We obtain the stationary solution of the FPE by using the WKB method. |
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| Keywords: | noise nonlinear damping oscillator stationary states probability density/WKB method Ornstain-Uhlenbeck(OU) |
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