| 广义Birkhoff系统的随机响应 |
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| 引用本文： | 梅凤翔,吴惠彬.广义Birkhoff系统的随机响应[J].北京理工大学学报,2011,31(12):1485-1488. |
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| 作者姓名： | 梅凤翔 吴惠彬 |
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| 作者单位： | 1. 北京理工大学宇航学院,北京,100081
2. 北京理工大学数学学院,北京,100081 |
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| 基金项目： | 国家自然科学基金资助项目(10932002,10972031);北京市重点学科基金资助项目 |
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| 摘 要： | 研究广义Birkhoff系统在随机扰动下的响应.建立系统的随机微分方程,得到一次矩和二次矩的微分方程.举例说明了结果的应用.
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| 关 键 词： | 广义Birkhoff系统 随机响应 一次矩 二次矩 |
| 收稿时间： | 2011/2/17 0:00:00 |
Random Response in a Generalized Birkhoff System |
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| MEI Feng-xiang and WU Hui-bin.Random Response in a Generalized Birkhoff System[J].Journal of Beijing Institute of Technology(Natural Science Edition),2011,31(12):1485-1488. |
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| Authors: | MEI Feng-xiang and WU Hui-bin |
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| Institution: | School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China;School of Mathematics, Beijing Institute of Technology, Beijing 100081, China |
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| Abstract: | The response of a generalized Birkhoff system with a random perturbation is studied. The random differential equations of the system are established. The differential equations of the first moment and second moment are obtained. An example is given to illustrate the application of the result. |
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| Keywords: | generalized Birkhoff system random response first moment second moment |
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