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一类奇摄动问题解的多层现象
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作者 周康荣 《安庆师范学院学报(自然科学版)》 2002年第4期14-15,共2页
本文讨论了一类二阶微分方程奇振动问题,利用伸长变量,构造了对应问题的解,指出了它具有多层边界层现象。
关键词 摄动问题 奇振动 边值问题 多层现象 二阶微分方程 特异极限
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解非线性振动方程的两种摄动法的比较 被引量:2
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作者 周红庆 高福顺 《北华大学学报(自然科学版)》 CAS 2007年第6期488-492,共5页
首先介绍了解非线性振动方程的L-P摄动法和Krylov展开法,然后对两种方法进行了比较.比较可知,对恢复力是位移奇函数的单自由度保守振动系统Krylov展开法适用范围比L-P摄动法广泛;对恢复力是位移一般函数的单自由度保守振动系统两者都仅... 首先介绍了解非线性振动方程的L-P摄动法和Krylov展开法,然后对两种方法进行了比较.比较可知,对恢复力是位移奇函数的单自由度保守振动系统Krylov展开法适用范围比L-P摄动法广泛;对恢复力是位移一般函数的单自由度保守振动系统两者都仅适用于弱非线性系统.两个典型例子验证了结论的正确性. 展开更多
关键词 摄动法 非线性振动系统 一般非线性振动系统
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拟线性弱耦合系统的边界层和内层性质
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作者 沈连山 《阜新矿业学院学报》 1989年第3期107-114,共8页
本文采用微分不等式方法,将〔2〕中关于奇摄动弱耦合拟线性系统的边界层结果,拓广到既有边界层又有内层的现象.
关键词 拟线性 弱耦合 奇振动 边界层 内层
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基于添项技术的修正L-P摄动法
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作者 潘国峰 高福顺 《北华大学学报(自然科学版)》 CAS 2011年第6期647-650,共4页
提出两种基于添项技术的修正Lindstedt-Poincaré(L-P)方法,与已有添加线性项方法进行比较可知:对于奇的强非线性振动系统,新提出的添项技术能够建立更高精度的解析逼近周期.数值例子验证了结论的正确性.
关键词 摄动法 非线性振动系统 添项技术
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New method for camera pose estimation based on line correspondence 被引量:11
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作者 LIU JinBo ZHANG XiaoHu +3 位作者 LIU HaiBo YUAN Yun ZHU ZhaoKun YU QiFeng 《Science China(Technological Sciences)》 SCIE EI CAS 2013年第11期2787-2797,共11页
The key technology of the measuring method of pose shaking of unstable platform based on CCD lies in the camera pose estimation. A new method for camera pose estimation based on line correspondence is put forward in t... The key technology of the measuring method of pose shaking of unstable platform based on CCD lies in the camera pose estimation. A new method for camera pose estimation based on line correspondence is put forward in this paper. First, two appro- priate lines are selected in the space to establish a local coordinate system, the remaining lines form three-line sets with these two lines respectively and then the angle depth of the lines of the local coordinate system can be obtained by using the linearity of interpretation plane; then the invariance of included angle between spatial coordinate system and camera coordinate system during rigid transformation is used to establish a constraint equation set of angle depth of three lines similar to traditional P3P, and the corresponding angle depth of the third line in the set can be obtained linearly by variable substitution; finally, the rota- tion matrix can be expressed with quaternion and the pose parameters of camera in the space can be calculated by singular value decomposition (SVD). The static experiment and dynamic experiment verify the accuracy and stability of the algorithm and that the camera pose shocking is within 1~ and the 3a error is superior to 0.3'. The method in this paper can be directly used in the micro-vibration measurement of experimental platform and robot navigation and other fields and is of important theoretical significance and engineering application prospect. 展开更多
关键词 unstable platform measurement of pose shaking line correspondence angle depth QUATERNION
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OSCILLATION CRITERIA FOR ODD-ORDER DELAYED DIFFERENCE EQUATIONS
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作者 Wang Xiaoping 《Annals of Differential Equations》 2007年第4期505-510,共6页
In this paper,we obtain some oscillation criteria to an odd-order delayed difference equation.
关键词 OSCILLATION NONOSCILLATION delay difference equation
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