DISSIPATIVE SCHEMES WITH PROPERTY OF INHERITING HOMOCLINIC ORBITS FOR 2N-DIMENSIONAL HAMILTONIAN SYSTEMS

1　ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｉｓｐａｐｅｒｉｓｄｅｖｏｔｅｄｔｏｓｔｕｄｙｗｈａｔｋｉｎｄｏｆｄｉｓｃｒｅｔｅｓｃｈｅｍｅｓｏｆｔｈｅｆｏｌｌｏｗｉｎｇ 2ｎ ｄｉｍｅｎ ｓｉｏｎａｌＨａｍｉｌｔｏｎｉａｎｓｙｓｔｅｍｓｗｉｔｈｐａｒａｍｅｔｅｒｉｎｎｏｒｍａｌｆｏｒｍ ｕ=Ｊ2ｎ Ｈ ｕＴ,　　Ｈ =Ｈ(ｕ ,λ) ,(1 )ｗｈｅｒｅｕ∈Ｒ2ｎ,λ∈Ｒ ,Ｈ∈Ｃｋ+1(Ｒ2ｎ×Ｒ ,Ｒ) ,ｋ≥ 6,ａｎｄＪ2ｎ =0Ｉｎ-Ｉｎ 0 ,Ｉｎ:ｕｎｉｔｍａｔｒｉｘｏｆｏｒｄｅｒｎｈａｓｔｈｅｐｒｏｐｅｒｔｙｏｆｉｎｈｅｒｉｔｉｎｇｈｏｍ…     

Influence of focusing depth on the microfabrication of waveguides inside silica glass by femtosecond laser direct writing

We studied the influence of focusing depth on the index change threshold and damage threshold of silica glass irradiated by a focused 120 fs laser beam. Both thresholds increased with the focusing depth. The aspect ratio of the waveguide cross section can be selected by changing the focusing depth. A 5 mm long waveguide was written at the depth of 2100 μm, which was single mode at 632.8 nm and exhibited propagation loss of 0.56 dB/cm. The refractive index change was calculated to be ∼2.47×10^-3. The influence of the focusing depth should be considered in multi-layer devices as shown in the fabrication of a 3×3 waveguide array. PACS 42.62.-b; 42.82.Et; 81.05.Kf     

四角场S=2离子ZFS高阶微扰公式的收敛性

本文以~５Ｂ＿２为基态，在强场图象下用微扰理论推导出了轴向零场分裂参量Ｄ的１到４阶微扰计算公式（~５Ｄ近似），并就公式的微扰收敛性进行了系统的讨论．通过计算和分析表明，当第一激发态靠近基态使得其能量与旋轨耦合常数ζ可比拟时．微扰公式是发散的．这时，微扰近似方法将不再有效。但在大多数情况下，公式保持有较好的收敛性．同时，给出了使微扰松式有效的晶场参量Ｄ＿９、δ和μ的近似取值范围，为~５Ｄ近似公式的应用提供了有价值的参考。     

ON DIRECT METHOD OF SOLUTION FOR A CLASS OF SINGULAR INTEGRAL EQUATIONS

In this article, by introducing characteristic singular integral operator and associate singular integral equations (SIEs), the authors discuss the direct method of solution for a class of singular integral equations with certain analytic inputs. They obtain both the conditions of solvability and the solutions in closed form. It is noteworthy that the method is different from the classical one that is due to Lu.     

地震参数综合处理方法在储层横向预测中的应用

建立了一套计算机上可实现的地震参数综合研究的算法和程序,将地震参数综合处理方法变为计算机处理过程,再将地球物理数据转换为地质解释语言.从现有的模式识别或统计分析方法中,选用了输出能量最大准则滤波的综合参数法和标准样本学习的判别分析法进行储层岩性预测.尽管综合参数或判别函数本身已失去了各个参数原有的明确的物理意义,但它却代表了多参数共同性的变化,较可靠地反映出产生这些变化的地质因素.     

我国税收收入超GDP增长的原因分析

文章依据我国近年来税收增长和GDP增长的统计数据，得出税收增长速度高于GDP增长速度的客观事实，并就其原因进行了综合分析，最后指出，从长远来看我国未来的税收增长必将回归到与经济同步增长或者略低于经济增长的轨道上来，以为政府决策提供参考。     

山西高校高水平田径运动员竞赛焦虑的研究

通过调查研究，结果表明山西省高校高水平田径运动员竞赛焦虑品质与焦虑状态女子均高于男子；运动项目不同，运动员产生赛前焦虑也不同；并且随着比赛赛次的进展，焦虑程度也随之增高；高水平田径运动员适宜的焦虑区域为32-50之间。     

Operator Matrix Forms of Positive Operators

If a 3-tuple (A:H1→H1,B:H2→H1,C:H2→H2）of operators on Hibert spaces is given,we proved that the operator ～↑A:=(↑A ↓B^*↑B ↓C) on H=H1 H2 is ≥0 is and only if A≥0,R(B)∪→R（A^1/2) and C≥B^* A^ b,where A^ is the generalized inverse of A.In general,A^ is a closed operator,but since R(B)∪→R(A^1/2,B^* A^ B is bounded yet.     

断裂带中岩石硅化的微束研究

断裂带中岩石的硅化现象,通常称之为硅化岩或硅化破碎带,即经动力变质作用的断层岩,通过微束技术对其观察,它们显示出下列特征:在扫描电镜(SEM)下,硅化物质表现为细脉状,而在偏光里微镜下则表现为浸染状;对硅化岩进行组构观察,可见压扁 S 面和剪切 S 面;在透射电镜(TEM)下,可进一步区别不同的位错现象;断裂带岩石的硅化现象是受组成岩石的化学元素的构造地球化学作用所制约的,包括动力分异和化学亲和作用,动热变质作用和退化变质作用,氧化和还原作用以及脱水和水解作用。