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When and we show that system (1) has the cusp bifurcation of codimension 2(ie,Bogdanov-Takens bifurcation); when ,we show that this system has the cusp bifurcation with codimension at least S.

而且我们选择了系统的原参数中的二个作为分支参数,可以使系统(1)进行Bogdanov-Takens余维2普适开折,从而证明系统(1)同宿轨的存在性。

In terms of the minimum question of a positive definite quadratic function,a set of Newton directions in minimum points derived with an accurate single dimensional search are used to produce a set of conjugate direction ,and a proof of convergence is presented.

对正定二次函数极小问题,利用精确一维搜索所得极小点处的牛顿方向来生成一组共轭方向,并给出收敛性证明

In this paper, we have studied the dimensional effects, electronic state, the configurations of charge density and spin density for quasi-one-dimensional organic ferromagnets. First, considering interchain interaction, the itineracy of electrons, the electron-electron correlation, electron-phonon interaction and spin correlation in low dimensional system, we proposed an interchain coupling theoretical model for conjugated system and non-conjugated system of organic polymer ferromagnets, respectively. Based on the theoretical model, we studied the electronic property, spin structure, the configuration of dimerization and the stability of the ferromagnetic state with a self-consistent iterative method.

首先我们在考虑准一维有机铁磁体的链间相互作用、电子的巡游性、强的电子-电子关联、电子-声子耦合、自旋关联等因素的基础上,分别对两种类型的有机高聚物铁磁体各自提出一个包含链间耦合的理论模型,用自洽迭代的数值计算方法对其电子性质、自旋结构、二聚化特征及铁磁态的稳定性进行了研究。

V It is proved that, under quadratic loss, the admissibility of a common estimator of mean vector with respect to multivariate t-error model is related to its dimention.

v证明了多元t-分布均值向量的一个常用估计在二次损失下的可容许性与维数有关。

In this paper,based on an improved orthogonal expansion in an clement , using the new idea of Ref.[3] ,a new error expression of n-degree Hermite finite element approximation to one-dimensional 4-degrec 2-point bounded problem and 2-degree ordinary differential problem, and then optimal order superconvergence for their first derivatives is obtained.

本文针对在改进的单元正交性估计的基础上,利用文[3]提出的新想法,得到一维四阶两点边值问题和二阶常微初值问题的n次赫米特有限元u_h∈C~1的新误差估计式,以及导数误差的最佳阶超收敛,并且两者有相同的超收敛结果。

The second part is devided into two chapters, it\'s main aim is to study the global solutions to 1-d compressible Navier-Stokes equations, and it is organized as follows:In Chapter 2, we introduce the second boundary value problem for the compressible Navier-Stokes equations in the half space.

第二部分分为二章,主要讨论一维可压Navier-Stokes方程整体解的存在性,其中:第二章讨论了不可渗透问题(流体的速度在边界上为0情形),其中对温度给出了第二边值条件。

And the results indicate that the principal stress directions in study area are mainly NE-SW, and the second substage tectonic twist made the direction deflect from North to East, but the primary direction changed little; tectonic activities during the O〓~S~D stage is some violent, most of the area are under high stresses status, and rock fracture degree is correspondingly higher, as coinciding with the drill cores observation, i.

通过数值分析,模拟了塔中Ⅰ号断裂带和塔中45井三维模拟区O〓灰岩的构造应力场和应变场,结果表明:研究区主应力方向为北东~南西向,第二期的构造扭动使其由北向东发生了一定的偏转,但总的方位变化不大;O〓~S~D时期,塔中地区构造运动较强,研究区大部分处于高应力状态,岩石破裂程度较高,而岩芯观察结果也证实了这一结果,即O〓灰岩地层中早期形成的构造结构面比较发育,单个结构面的规模也较大;C~P时期,岩石的破坏程度较早期有所提高,主要表现在两个方面,一是各局部区岩石的破坏程度普遍有所提高;二是各个级别破裂区的分布范围相应地扩大了;研究区应力分布表现出明显的不均匀性,特别是剪应力,无论是O〓~S~D时期,还是C~P时期,都有很大的差异性,特别是在小断层的端部,剪应力比较集中,而且在断层的两盘,剪应力方向和大小都变化极快。

Scanning electron microscopy,transmission electron microscopy,circular dichroism and small-angle X-ray diffraction were used to analyze the aggregation mode of CSG in the organogel phase.A hierarchical self-assembly model was proposed to explain the transition from molecular to primary and secondary structure.It is shown from our results that CSG can aggregate into a micellar fibril nanostructure with high length-to-width ratio which is bundled and entangled to form a three-dimensional(3D) network that immobilize the fluid component probably by surface tension.Moreover,sol-gel polymerization of tetraethoxysilane was carried out using CSG in the gel phase.

通过扫描电镜(ScanningElectron Microscopy,SEM)、透射电镜(Transmission Electron Microscopy,TEM)、圆二色谱(Circular Dichroism,CD)和小角X—射线衍射仪(Small-angle X-rayDiffraction,SAXRD)考察CSG分子自组装行为结果表明,CSG形成的聚集体具有多级结构:首先CSG通过手性堆叠自组装形成直径在9—10nm的细纳米纤维,这些细的纳米纤维再以不规则的六方堆积的方式进行排列,构成直径在40—100nm的粗纳米纤维(即细纳米纤维的&捆束&),最后粗纳米纤维互相粘连形成三维网络状结构,使有机溶剂&固定&,从而形成凝胶;以CSG有机凝胶为模板,四乙氧基硅烷为前体,通过溶胶—凝胶聚合的方法制备了直径大约为100nm的二氧化硅纳米管。3。

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