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双语推荐：分支

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通过对伊拉克HFY油田Mishrif储层特点及钻采工程的研究,确定了采用分支井双分支裸眼悬空侧钻并裸眼下筛管的钻完井方式;通过对分支连接井段的井壁稳定、主、分支井眼轨道及施工进行优化设计及作业,形成了HFY油田分支井裸眼悬空侧钻关键技术,降低了主、分支井眼钻井的难度与风险,成功完成4口分支水平井的钻井。第1口分支井生产测试获得了日产原油1 638 m3,与单支水平井初产相比增长了2倍。分支水平井在HFY油田的应用表明,根据油田条件确定合适的分支井钻完井方式是油田优化钻井、优化开发方式、提高综合开发效益的重要途径,Mishrif储层分支井钻井的成功为中东地区大型碳酸盐储层分支井钻井积累了经验,也为油田低成本开发开拓了思路。
Through research into the characteristics of Mishrif Reservoir in Iraqi HFY Oilifeld and the drilling and production engineering, we determined that the wells be drilled and completed by suspended sidetracking in openhole in dual branch wells and by running screen tubes in openhole;by stabilizing the sidewall of the branch connecting hole sections and optimizing the design and drill-ing of the main hole and branch hole trajectories, we have developed the key technology for suspended sidetracking of branch openhole in HFY Oilifeld, reduced the dififculty and risk in the drilling of the main wellbore and branches, and have succeeded in drilling of four branch horizontal wells. Oil production test in the ifrst branch well lfowed at a rate of 1 638 m3 of oil per day, two times up compared with the initial production of single horizontal well. The application of branch horizontal wells in HFY Oilifeld shows that the proper drill-ing and completing manner for branch wells determined in line

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研究了小周期扰动对一类存在Hopf分支的非线性系统的影响.特别是应用平均法讨论了扰动频率与Hopf分支固有频率在共振及二阶次调和共振的情形周期解分支的存在性.表明了在某些参数区域内,系统存在调和解分支和次调和解分支,并进一步讨论了二阶次调和分支周期解的稳定性.
The influence of small periodic perturbations on a kind of nonlinear systems exhibiting Hopf bi-furcation is studied. In particular, we discuss the existence of bifurcating periodic solutions in the case that the excitation frequency and the critical natural frequency of Hopf bifurcation is resonance and subharmonic resonance. In this work, the ideas related method of averaging. It is shown that in some parameter regions the systems exhibit harmonic solution bifurcation and subharmonic solution bifurcation. Furthermore, the stability of subharmonic solutions is discussed.

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尽管Lorenz系统具有混沌和非周期性质,但其分支变换是可预报的.本文以强迫Lorenz系统为数学模型,基于Lorenz映射,研究了混沌系统分支变换的预报规律,将原有关于分支开始变换条件和新分支持续时间的两条一般规律扩展到了3条,并首次分析了系统当前状态达到变换条件所需时间的预报规律,从而为预报混沌系统非周期演变提供了另一途径.结果表明:映射尖点位置为分支变换的临界值,当变量z超过相应临界值时,系统在当前分支的运动即将结束,下一循环将跳跃到另一分支运动;系统在同一分支循环的次数随极值zmax单调减小,zmax越小,达到变换条件需循环的次数越多;系统在新分支持续的时间是先前分支最大极值zM的单调增加函数,zM越大,持续时间增加的幅度也越大.此外,外强迫影响着混沌系统分支变换的预报规律,其不但使正负分支的变换条件出现差异,且与新分支持续时间的增加速率和达到变换条件所需时间的递减速率密切相关.
10.7498/aps.62.120507

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研究了一类双时滞能源价格模型的Hopf分支的数值逼近问题。利用欧拉方法和离散动力系统的分支理论,证明了当模型在τ1=τ01处有Hopf分支时,其数值逼近在相应的τ1=τh1处也产生Hopf分支。并且数值Hopf分支值与原连续系统的Hopf分支值之间满足τh1=τ01+O(h)。
The numerical approximation of a class energy Price Model with two delays is considered. Firstly, by em-ploying the Euler method and the theories of bifurcation fordiscrete dynamical systems, when the continuous model has Hopf bifurcations at τ1=τ01 , the numerical approximation also has been proven that Hopf bifurcations is existent atτ1=τh1 . The numerical Hopf bifurcating values and these of the continuous system satisfy τh1 =τ01+O(h) .

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研究了以滞量为参数的具时滞物价瑞利方程的数值Hopf分支问题。首先利用欧拉方法将得到的时滞差分方程表示为映射,然后利用离散动力系统的分支理论,在瑞利方程具有Hopf分支的条件下,讨论了差分方程Hopf分支存在的条件及连续系统与其数值逼近间的关系,最后证明了当连续系统产生Hopf分支时,其Euler离散将产生Neimark-Sacker分支,进而得到结论:Euler离散使得方程的Hopf分支性质得以保持。
The numerical Hopf bifurcation for Price Reyleigh equation with delays is investigated,through using a delay as a parameter. At first, the delay deference equation obtained by using Euler method is written as a map. And then according to the theories of bifurcation for discrete dynamical systems,under the condition that Price Reyleigh equation has bifurcations,the conditions of Hopf bifurcation difference equations as well as the relations between successive sys-tem and numerical approximation are discussed. Finally,it is proved that when successive system produces Hopf bifurca-tion,the Euler discretion produces a Neimark-Sacker bifurcation. Further,it draws the conclusion that the Euler discre-tion preserves the features of the Hopf bifurcation.

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研究一类具有时滞的非线性飞行模型的稳定性和分支问题.首先考虑数据测量的时间延迟,给出了含时滞的大迎角纵向多项式飞行模型;然后应用泛函微分方程Hopf分支理论和中心流形等非线性方法给出了该模型稳定性和分支的解析分析,得到了由时滞引起的Hopf分支存在条件、分支点计算公式以及分支周期解的稳定性判别准则;最后利用所得结论进行了飞行实例分析,分析结果表明,数据测量延时可能会引起飞行稳定性的改变,而且延时超过一定临界值时将产生Hopf分支,出现纵向周期振荡,其结论具有实际参考意义.
The stability and bifurcations of a nonlinear flight system with time delay are investigated. Firstly, considering the time delay in measurement of angle of attack, a polynomial differential system with time delay for aircraft longitudinal motion is suggested. Then by applying Hopf bifurcation and center manifold theories of functional differential equations, the stability and bifurcations of the time-delayed system are studied analytically, and existence conditions for Hopf bifurcations as well as formulas for calculating bifurcation points and stability of the bifurcation limit cycle are derived. Finally, the theoretical conclusions are applied to analyze a practical example of high angle-of-attack flight. The results show that the delay in the measurement of angle of attack can cause instability, moreover, the Hopf bifurcation occurs and the periodic oscillation of longitudinal direction arises when the measurement delay exceeds the critical value. The conclusion has the reference s

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展布于黑龙江省敦密断裂带,具有分支性、分带性、线型展布特征,断裂带具有二个分支,为大和镇断裂带和七虎林断裂带,大和镇断裂带是敦密断裂带北延主要分支,七虎林断裂带是次要分支（叉）,二者控制的新生代含煤盆地具有良好找煤前景。
Distributed in the Dunhua-Mishan fault zone of Heilongjiang Province, with characters of branch, zoning and linear distribution. Fault zone has two branches, Dahezhen fracture zone and Qihulin fracture zone. The former is the north extension main branch of the Dunhua-Mishan fault zone, the latter is secondary branch (forking). The Cenozoic coal-bearing basin controlled by the above two, has good exploration prospects for coal.

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研究了分支结构动力学建模对全弹模态的影响，分别建立了单梁和分支梁有限元模型，通过数值计算与试验结果对比分析发现，考虑分支结构对全弹刚度的影响时，能有效的提高模态预示精度。以分支梁模型为标准，建立了共用结点、MPC多点约束和Spring三种分支梁连接模型，基于Spring连接模型，分析了不同连接刚度对飞行器结构模态的影响。
The influence of the models on the spacecraft’s modes with branches was investigated, the dynamic analyses of beam model and beam model with branches were performed, compared with the test result, it was found that the more precise can be got by beam model with branches. Three different finite element models of spacecraft with branches were established, including: the common nodes、MPC and Spring, based on the spring model, the influence of different spring stiffness for the modes of the spacecraft was analyzed.

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讨论了具有分段常数变量和时滞的比率型密度制约单种群模型的稳定性及分支等问题，运用特征值理论和Jury判据给出模型正平衡态局部渐近稳定的充分条件；利用分支理论及中心流形定理，得到了Flip分支及N-S分支存在的条件，并讨论了N-S分支方向和稳定性；通过实例和数值模拟验证了定理条件与结论的可实现性。
T he stability and bifurcations of a single population of ratio-dependent density re-striction model with piecewise constant arguments and time delay are investigated .The local stability sufficient conditions of the positive equilibrium are derived by using the theory of characteristic value and Jury criterion .Furthermore the range of the parameter for existence of Neimark-Sacker bifurcation and Flip bifurcation of this model and the direction ,stability of N-S bifurcation are achieved by using the bifurcation theory and the center manifold theo-rem ;finally ,some examples and numerical simulations are presented to illustrate the correct-ness and realizability of our theoretical results .

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针对UF-growth算法构造大量树节点和分支的局限性，且不断计算候选数据项支持度的不足，提出压缩UF-tree算法。压缩UF-tree算法改变建树条件：事务中数据项与树中某个分支节点的数据项匹配时，将该数据项合并到分支中；否则，从该分支节点创建新的分支，叶节点保存当前事务编号。构建单项数据项的概率向量，搜索树分支产生候选项，通过事务编号和概率向量计算候选数据项的支持度进而挖掘频繁项。通过实验对比与分析，压缩UF-tree算法可行且更高效。
UF-growth algorithm generated a large number of tree nodes and branches， and it needed to constantly calculate the support of candidate data items. To solve these problems， this paper proposed a new algorithm named compressed UF-tree. The algorithm change

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