基于自相似业务的网络TCP拥塞控制算法

本文通过对自相似网络模型的分析,采用TCP协议可以直接观测的回环时间（Bound Trip Time)来进行拥塞程度预测,提出一种改进的TCP拥塞控制算法。仿真证明,改进算法在一定程度上提高了网络的整体性能,在自相似程度较高时尤为明显。     

重尾ON/OFF源模型生成自相似业务流研究

因为传统模型没有考虑网络业务流量各种时间尺度都具有突发性,因此是不完善的,一系列的测量结果表明,网络业务流量显示自相似性,重尾分布ON／OFF模型能比较好地解释自相似业务流的产生原因,可以把LAN上的业务分解为多个活动（active)主机对之间的业务流,本文通过系统的仿真实验研究了重尾ON／OFF源模型生成自相似流的机理,并与理论结果进行了对比,而且补充了理论结果。     

自相似集边界的结构及维数

本文研究了一类由平面上点的表示系统所生成的内部非空的自相似集,证明其边界曲线的一半是三个A－完备集的并集,并给出计算这类完备集的结构矩阵的简单方法,从而利用Marion定理得出这类自相似集边界的Hausdorff维数。     

Water Injection into a Low-Permeability Rock - 1 Hydrofracture Growth

In this paper, we model water injection through a growing vertical hydrofracture penetrating a low-permeability reservoir. The results are useful in oilfield waterflood applications and in liquid waste disposal through reinjection. Using Duhamel's principle, we extend the Gordeyev and Entov (1997) self-similar 2D solution of pressure diffusion from a growing fracture to the case of variable injection pressure. The flow of water injected into a low-permeability rock is almost perpendicular to the fracture for a time sufficiently long to be of practical interest. We revisit Carter's model of 1D fluid injection (Howard and Fast, 1957) and extend it to the case of variable injection pressure. We express the cumulative injection through the injection pressure and effective fracture area. Maintaining fluid injection above a reasonable minimal value leads inevitably to fracture growth regardless of the injector design and the injection policy. The average rate of fracture growth can be predicted from early injection. A smart injection controller that can prevent rapid fracture growth is needed.     

Sliding of self-similar sets

This paper deals with the Lipschitz equivalence of slidings of self-similar sets by graph-directed construction and martingale theory.     

自相似业务流HURST参数小波检测法的研究

本文介绍了小波对自相似业务流Hurst参数的检测原理。重点分析了消失矩,分解级数对检测结果的影响,提出了一种由品质因数确定分解级数选择的方法,给出了小波法检测的适用范围,即小波法只适用于严格重尾分布的业务源, 而不适用于非严格重尾分布的业务源,并通过仿真对结论进行了验证。     

400GeV/c pp碰撞多粒子产生的分形行为

对400GeV/cpp碰撞产生的带电粒子赝快度分布的实验数据用G矩方法进行了多重分形分析.在分割代数v很小的情况下得到的广义维数是不同的(1>D0>D1>D2…);谱函数是光滑的,凹面向下,在α0时为峰值;重新标度后的谱函数大在时具有普适性.这些结果与其它实验是一致的.     

广义Davey-Stewartson方程组的整体解及自相似解

本文研究Dalvey-Stewartson方程组的整体解与自相似解的存在性.首先,运用Ba- nach不动点定理得到一个关于解整体存在性的一般性定理,然后把一类特殊的初始值用到该存在性结果上去从而得到自相似解存在的结论.     

Self-similar solutions to the hyperbolic mean curvature flow

This article concerns the self-similar solutions to the hyperbolic mean curvature flow (HMCF) for plane curves, which is proposed by Kong, Liu, and Wang and relates to an earlier proposal for general flows by LeFloch and Smoczyk. We prove that all curves immersed in the plane which move in a self-similar manner under the HMCF are straight lines and circles. Moreover, it is found that a circle can either expand to a larger one and then converge to a point, or shrink directly and converge to a point, where the curvature approaches to infinity.     

FRACTAL PROPERTIES OF STATISTICALLY SELF-SIMILAR SETS

1IntroductionIn1981,J.E.Hutchinson[1]establishedthebasictheoryof(strictly)selfsimilarsets.Foragivenset(={S1,'',SN}ofcontractionmapsonacompleteseparableboundedmetricspaceN(X,d),thereexistsauniquecompactsetKsuchthatK=ZSi(K),andKistheclooureofi=1thesetofallfixedpointssi,,..-,iPoffillitecompositionsSi,o''oSi,(wesayKistheselfsimilarNsetwithrespectto().Illaddition,supposep1,-'tPNE(o,1)andZpi=l,thenthereexistsi=1NauuiqueBorelregularmeasurepoftotalmass1suchthatp=Zpipos;'withsuppp=Ki=1(we…