- 更多网络例句与稳定流形相关的网络例句 [注:此内容来源于网络,仅供参考]
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As the special characteristic of nonlinearity, several notions are introduced and used in this paper, such as differential manifold, vector field, diffeomorphism, tangent space, topological equivalence. Stable manifold and unstable manifold are also introduced.
针对非线性的特殊性,本文专门介绍了非线性中几个比较特殊的概念,如微分流形、向量场、微分同胚、切空间以及等价关系等,对稳定和不稳定流形也作了介绍。
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By measuring the distance between the stable manifold and the unstable manifold of the hyperbolic fixed point in the Poincare map, it is shown whether the system has transversaUy homoclinicpoints and chaos in the sense of Smale horseshoes.
Melnikov方法是用来判定一个系统是否存在Smale马蹄意义下的混沌的一种有效的数学方法,它通过测量Poincare映射的双曲不动点的稳定流形与不稳定流形之间的距离来判定系统横截同宿点的存在性及Smale马蹄意义下的混沌的存在性。
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One important feature ofHamiltonian systems is that it has energy(its energic function is Hamiltonian func-tion),then,its solutions on 2-dimensional plane are some contour lines,the points onstable manifold emanating from hyperbolic equilibrium point have the same energyas that on unstable manifold,then,one can guess that they form a closed curve,i.e.homoclinic orbits under certain conditions,and the contour lines in the innerpart of homoclinic orbit are periodic orbits.
哈氏系统的一个重要特征是它有能量存在(以Hamiltonian函数作为它的能量),那么在二维平面上,它的解表现为一些等值线,从双曲平衡点发出的稳定流形和不稳定流形上的点具有相同的能量,那么可以猜测,在一定条件下它们构成一条封闭的曲线,即同宿轨,而且其内部的等值线都是周期轨道。
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There are two possibilities if we consider only the case that the positive equilibrium of the system p is hyperbolic.
该模型在我们感兴趣的区域里面存在一个双曲平衡点;并且这个平衡点要么是渐近稳定的,要么其稳定流形是一维的从而存在周期解。
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Since the OGY method needs stable manifold, it can't be applied in controlling hyperchaos which has no stable manifold.
由于OGY方法的控制需要稳定流形,因此对没有稳定流形的情况,即所谓超混沌情况就无法用它控制。
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The bounded and unbounded traveling wave solutions which correspond to the stable and unstable manifold at the saddle point have been worked out.
计算了与鞍点处的两种稳定和不稳定流形相对应的有界和无界行波解。
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Secondly, method of Taylor series is used to approximate the slow manifold and the O approximation of the slow manifold is given; slow dynamics such as saddle node bifurcation which has been proven to be the same as that for the full system is analyzed; at the same time, fast dynamics including bifurcation conditions and domain of attractor of the stable equilibrium are also analyzed; the attracting region which consists of the stable manifold of the unstable equilibrium and stable equilibrium is given; we found that when the inner flux decay increases, the domain of attractor is enlarged.
首先,给出了电力系统SMIB模型的时间尺度分解,得到标准的奇异摄动模型;其次,利用幂级数方法,给出了慢流形的O近似M〓,分析了在慢流形M〓上的慢动态,得到了慢子系统的鞍结分支值,并证明此分支值与原系统的鞍结分支值相同;分析了快子系统的平衡点和全局分支的存在条件,给出由不稳定平衡点的稳定流形与稳定平衡点形成的吸引域;并研究内部电压对稳定域的影响,发现稳定域随内部电压增加而扩大;最后给出整个系统的稳定平衡点的近似吸引域。
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A simple form of the unstable manifold s for the fixed points not being on the boundary;2. Aim To study singular points, closed orbits, stable manifolds and unstable manifold s of a second order autonomous Birkhoff system.
目的研究二阶Birkhoff自治系统的奇点、闭轨、稳定流形与不稳定流形,方法用常1微分方程的定性方法进行研究,结果与结论给出二阶Birkhoff自治系统的奇点判据、闭轨判据、双曲平衡点判据,得到与其相关的平衡稳定性、稳定流形与不稳定流形等。
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According to Shilnikov Theorem, on the condition that satisfies the basic characteristics of heteroclinic orbit, Shilnikov inequality and the eigenvalue equation, by finding a heteroclinic orbit consist of three geometric invariant sets, namely unstable manifold, heteroclinic point, and stable manifold, a set of real parameters accordance with the condition of existing heteroclnic orbit is obtained in this chaotic system.
根据Shilnikov定理,在满足异宿轨道基本特性、Shilnikov不等式和特征方程条件下,通过寻找该系统中一条由不稳定流形、异宿点和稳定流形三个几何不变集构成的异宿轨道,在分段Sprott系统中导出了存在异宿轨道时该系统中各个参数应符合的条件,并找到了一组对应的实参数,由此证明了异宿轨道的存在性。
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Aimed at the problem of choosing the initial value when the Newton method is used to compute the controlling unstable equilibrium point, a practical and rigorous solving scheme was presented: by identifying the controlling load bus of the given fault, and using the Thevenin equivalent circuit to represent the rest of the system at the state of the post disturbance stable equilibrium point, using the steady equivalent circuit to represent the induction motor in composite load, and then using the torque characteristics of induction motor, a point near the CUEP is gained to be the initial value. The second order normal forms was used to approximate the stable manifold of CUEP, and the local approximating boundary of the region of attraction of the post disturbance stable equilibrium point was gained. Then just by simulating the state of the system at the fault clearing time, the transient voltage stability of the system could be determined.
针对采用牛顿法求取故障后系统主导不稳定平衡点(controlling unstable equilibrium point,CUEP)存在的初值选取难题,提出一种实用但不失严谨的解决方案:通过识别给定故障的主导负荷母线,对主导负荷母线以外系统由故障后稳定平衡点处的状态进行戴维南等值,对负荷中感应电动机部分采用其稳态等值电路,再由感应电动机的转矩特性求得CUEP附近的一个点作为近似的CUEP,以此为迭代初值可靠求得CUEP;采用二阶正规型来近似CUEP的稳定流形的方法求得近似的局部吸引域边界;由仿真得到故障清除时刻系统的状态并根据该状态是否位于吸引域内判断系统的暂态电压稳定性。
- 更多网络解释与稳定流形相关的网络解释 [注:此内容来源于网络,仅供参考]
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quasi complex manifold:准复曲体流形
准渐近稳定 quasi-asymptotical stability | 准复曲体流形 quasi-complex manifold | 准凹函数 quasi-concave function
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linear manifold:线性流形
流形分解:manifold decomposing | 线性流形:linear manifold. | 不稳定流形:unstable manifold
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stable manure:动物粪便
stable manifold 稳定流形 | stable manure 动物粪便 | stable matrix 安定行列
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topological observable:拓朴可观
拓扑流形:Topological manifold | 拓朴可观:topological observable | 渐近稳定:topological degree
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singular point:奇异点
电子又由夸克(quark)组成,甚至力也是粒子,稳定强弱作用力的粒子例如胶子 g,当位了抚平这些物理解释极端的现象,通常也就是数学上奇异点(singular point)存在的地方,为来的维度的存在与卡拉比-丘流形(Calabi-Yau manifold)有某种关联性,
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stable manifold:稳定流形
这个轨道的最终命运.事实上半个世纪后,后来的数学家们发现这种现象在一般动力系统中是常见的,他们把它叫做稳定流形(stable manifold)和不稳定流形(unstable manifold)正态相交(intersects transversally)所引起的同宿交错网(homoclinic tangle),