首页 | 本学科首页   官方微博 | 高级检索  
相似文献
 共查询到20条相似文献,搜索用时 78 毫秒
1.
针对准实时数据处理的特点,本文通过对飞行器弹道用次最优节点的样条函数表示,建立了多设备跟踪同一弹道的参数融合处理模型。与实时处理相比,由于考虑了弹道的节省参数表示,融合模型可同时提供较高精度的飞行器轨道参数和飞行器轨道跟踪系统误差的估计;与事后处理相比,由于在特征点间采用的是等距节点,因此算法的速度快,可以满足准实时数据处理的要求。  相似文献   

2.
研究了几类(2 1)维非线性Schr(o)dinger型方程同宿轨道的问题.利用Hirota双线性算子方法, 通过给出的相关变换, 得到了包括(2 1)维的长短波相互作用方程, 广义Zakharov方程, Mel'nikov方程和g-Schr(o)dinger方程的同宿轨道解的显式解析表达式,从而讨论了这些方程的同宿轨道.  相似文献   

3.
本文用圆型限制三体问题的Jacobi积分来建立一个能确定卫星是否稳定的测检函数.凡是对其主行星所作的瞬时椭圆轨道要素已知的卫星都可检定其稳定性.对于作准圆形轨道运动的卫星,我们可用电子计算机来求出它的稳定域,这域的界面是一个近似的扁椭球面.这闭面所包围的空间比“引力作用球”和其相应的卫星区的“Hill曲面”要小得多.由于卫星对其主行星的相对动能表示式对顺行和逆行轨道两者形式相同,所以两者可以在卫星的稳定域中同时存在.  相似文献   

4.
广义正交基、正交变换及正交矩阵   总被引:1,自引:1,他引:0  
郭伟 《大学数学》2005,21(3):94-97
引入了di-准正交基、KiKj-准正交变换、准正交矩阵的概念,讨论了它们的性质及相互间的关系.  相似文献   

5.
准正交基与准正交变换   总被引:12,自引:0,他引:12  
利用内积给出了准正交基,准正交变换与准对合变换的概念,研究了它们的性质及其之间的联系,获得了许多新的结果,推广了正交基,正交变换,对合变换的概念,性质以及张禾瑞,郝新,邹本强等先生的相关结果。  相似文献   

6.
刘兴波  朱德明 《数学学报》2004,47(5):957-964
本文研究具有非双曲奇点的高维系统在小扰动下的同宿轨道分支问题,通过在未扰同宿轨道邻域建立局部坐标系,导出系统在新坐标系下的Poincare映射,对伴随超临界分支的通有同宿轨道的保存及分支出周期轨道的情况进行了讨论,推广和改进了一些文献的结果.  相似文献   

7.
L—fuzzy保序算子空间的准ω-Lindeloef性质   总被引:8,自引:4,他引:4  
在L—fuzzy保序算子空间中引进了准ω-Lindeloef性质及准ω-Lindeloef空间等概念,系统地讨论了这些概念的性质,得出它们保持了L—fuzzy拓扑空间中的准Lindeloef性质的主要结论,如闭遗传性、好的推广和弱拓扑不变性等。  相似文献   

8.
对一种非线性函数迭代的动力性质进行了分析,结果显示在函数的定义区间[-2,2]内,点χ的移动轨道具有如下性质:(i)点χ的移动轨道具有各种复杂的周期轨道,所有周期轨道形成的集合在区间[-2,2]内稠密,(ii)点χ的移动轨道或者在区间(-2,2)内稠密,或者经有限次映射后最终进入由所有的周期轨道形成的集合中。  相似文献   

9.
引入乘对角类di-准正交阵和乘对角类c-准正交变换的概念,并研究了它们的一些性质.  相似文献   

10.
轨道结构随机场模型与车辆-轨道耦合随机动力分析   总被引:3,自引:2,他引:1       下载免费PDF全文
将轨道结构视为一个参数随机系统,提出并建立了轨道结构的随机场模型.利用车辆-轨道耦合动力学的基本方法,将轨道系统有限单元模型与多刚体车辆模型相结合,建立了考虑铁路线路参数空-时随机变化的车辆-轨道动力计算模型.算例表明:所提出的方法较为可靠且高效;线路参数随机性对车辆-轨道系统的动力响应有明显的影响,随线路参数离散程度的增加,可能造成行车不安全、轨道损伤加剧等一些问题.  相似文献   

11.
似梯度型系统的连结轨线   总被引:2,自引:0,他引:2  
丁昌明 《数学学报》2000,43(6):1115-111
本文讨论Rn中似梯度型系统奇点的连结轨线.给出了存在连结轨线的一个判定准则;证明了当系统仅有的两个奇点分别为吸引子和排斥子时,连结轨线集是无界的开集.  相似文献   

12.
This paper concerns the global structure of planar systems. It is shown that if a positively bounded system with two singular points has no closed orbits, the set of all bounded solutions is compact and simply connected. Also it is shown that for such a system the existence of connecting orbits is tightly related to the behavior of homoclinic orbits. A necessary and sufficient condition for the existence of connecting orbits is given. The number of connecting orbits is also discussed.Supported by the National Science Foundation of China Grant No. 10461003.  相似文献   

13.
The present paper revisits a three dimensional (3D) autonomous chaotic system with four-wing occurring in the known literature [Nonlinear Dyn (2010) 60(3): 443--457] with the entitle ``A new type of four-wing chaotic attractors in 3-D quadratic autonomous systems'' and is devoted to discussing its complex dynamical behaviors, mainly for its non-isolated equilibria, Hopf bifurcation, heteroclinic orbit and singularly degenerate heteroclinic cycles, etc. Firstly, the detailed distribution of its equilibrium points is formulated. Secondly, the local behaviors of its equilibria, especially the Hopf bifurcation, are studied. Thirdly, its such singular orbits as the heteroclinic orbits and singularly degenerate heteroclinic cycles are exploited. In particular, numerical simulations demonstrate that this system not only has four heteroclinic orbits to the origin and other four symmetry equilibria, but also two different kinds of infinitely many singularly degenerate heteroclinic cycles with the corresponding two-wing and four-wing chaotic attractors nearby.  相似文献   

14.
We prove the existence of trajectories shadowing chains of heteroclinic orbits to a symplectic normally hyperbolic critical manifold of a Hamiltonian system.The results are quite different for real and complex eigenvalues. General results are applied to Hamiltonian systems depending on a parameter which slowly changes with rate ε. If the frozen autonomous system has a hyperbolic equilibrium possessing transverse homoclinic orbits, we construct trajectories shadowing homoclinic chains with energy having quasirandom jumps of order ε and changing with average rate of orderε| ln ε|. This provides a partial multidimensional extension of the results of A. Neishtadt on the destruction of adiabatic invariants for systems with one degree of freedom and a figure 8 separatrix.  相似文献   

15.
In this paper, the existence of heteroclinic orbits of Shil'nikov type in a three-dimensional quadratic autonomous system is proved. Four heteroclinic orbits and four critical points together constitute two cycles simultaneously. The dynamical behaviors of the system are also studied.  相似文献   

16.
对余维3系统X_μ(x)具有包含一个双曲鞍-焦点O_1和一个非双曲鞍-焦点O_2的异宿环f进行了研究.证明了在f的邻域内有可数无穷条周期轨线和异宿轨线,当非粗糙异宿轨线Γ~0破裂时X_μ(x)会产生同宿轨分支,并给出了相应的分支曲线和两种同宿环共存的参数值.在3参数扰动下Γ~0破裂和O_2点产生Hopf分支的情况下,在f的邻域内有一条含O_1点同宿环,可数无效多条的轨线同宿于O_2点分支出的闭轨H_0,一条或无穷多条(可数或连续统的)异宿轨线等.  相似文献   

17.
Solar sail technology offer new capabilities for the analysis and design of space missions. This new concept promises to be useful in overcoming the challenges of moving throughout the solar system. In this paper, novel families of highly non-Keplerian orbits for solar sail spacecraft at linear order are investigated in the Earth–Moon circular restricted three-body problem, where the third body is a solar sail. In particular, periodic orbits near the collinear libration points in the Earth–Moon system will be explored along with their applications. The dynamics are completely different from the Earth–Sun system in that the sun line direction constantly changes in the rotating frame but rotates once per synodic lunar month. Using an approximate, first-order analytical solution to the nonlinear nonautonomous ordinary differential equations, periodic orbits can be constructed that are displaced above the plane of the restricted three-body system. This new family of orbits have the property of ensuring visibility of both the lunar far-side and the equatorial regions of the Earth, and can enable new ways of performing lunar telecommunications.  相似文献   

18.
行星悬浮轨道附近的编队   总被引:2,自引:0,他引:2  
研究了不同类型的地球和火星悬浮轨道附近的相对运动.首先,推导了悬浮轨道附近的相对运动方程并将相对运动方程在悬浮轨道附近线性化.利用两种半自然编队控制率进行编队控制,其中一种为被动控制,对工程应用有很大的价值.在两种控制率下,讨论了每种悬浮轨道的稳定区域.由于两种控制率都不能满足特殊的火星悬浮轨道任务要求,于是,根据该任务的要求设计了一种特殊的半自然控制率.该控制率既能满足编队任务的要求也能使相对运动稳定.  相似文献   

19.
钟吉玉 《数学杂志》2016,36(3):465-473
本文考虑了一个离散的Logistic竞争模型.为了讨论分岔,给出了不动点的拓扑类型及非双曲的情况.应用中心流行约化定理,证明了跨临界分岔会在三个不动点上发生.本文还证明了在两个不动点处,跳跃分岔会发生,同时稳定的周期2轨会出现.  相似文献   

20.
In this paper we give an effective method for finding a unique representative of each orbit of the adjoint and coadjoint action of the real affine orthogonal group on its Lie algebra. In both cases there are orbits which have a modulus that is different from the usual invariants for orthogonal groups. We find an unexplained bijection between adjoint and coadjoint orbits. As a special case, we classify the adjoint and coadjoint orbits of the Poincaré group.The author (R.C) was partially supported by European Community funding for the Research and Training Network MASIE (HPRN-CT-2000-00113).  相似文献   

设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号