中国素木螽属的新种记述：直翅目：螽斯总科：露螽科

记述在湖北，河南采到的螽斯二新种：尖叶素木螽Ｓｈｉｒａｋｉｓｏｔｉｍａａｃｕｍｉｎａｔａｓｐ．ｎｏｖ．，短裂素木螽Ｓｈｉｒａｋｉｓｏｔｉｍａｂｒｅｕｉｆｉｓｓａｓｐ．ｎｏｒ．模式标本保存在中国科学院上海昆虫研究及山东大学生物系。     

中国素木螽属的新种记述──（直翅目：螽斯总科：露螽科）

记述在湖北、河南采到的螽斯二新种：尖叶素木螽Ｓｈｉｒａｋｉｓｏｔｉｍａａｃｕｍｉ．ｎａｔａｓｐ·ｎｏｖ·，短裂素木螽Ｓｈｉｒａｋｉｓｏｔｉｍａｂｒｅｖｉｆｉｓｓａｓｐ．ｎｏｒ．模式标本保存在中国科学院上海昆虫研究所及山东大学生物系．     

中国螽斯总科二新种（直翅目：螽斯总科）

报道了螽斯总科蛩螽科一新种，缙云隐翅螽Ａｃｙｒｔａｓｐｉｓｊｉｎｙｕｎｅｎｓｉｓｓｐ．ｎｏｖ；螽斯科一新种，黄山寰螽Ａｔｌａｎｔｉｃｕｓｈｕａｎｇｓｈａｎｅｎｓｉｓｓｐ．ｎｏｖ．模式标本均保存于陕西师范大学动物研究所．     

河南省螽斯类初步调查（直翅目）

首次系统报道河南省螽斯类３３属,５７种,其中记述５个新种。即：素色杆蟋螽Ｐｈｒｙｇａｎｏｇｒｙｌａｃｒｉｓｕｎｉｃｏｌｏｒ,ｓｐ．ｎｏｖ．;短突平背螽Ｉｓｏｐｓｅｒａｂｒａｃｈｙｓｔｙｌａｔａ,ｓｐ．ｎｏｖ．;黑膝饰尾螽Ｃｏｓｍｅｔｕｒａｎｉｇｒｏｇｅｎｉｃｕｌａｔａ,ｓｐ．ｎｏｖ．;中华赢蛩螽Ｎｉｐｐｏｎｏｍｅｃｏｎｅｍａｓｉｎｉｃａ,ｓｐ．ｎｏｖ．;河南杉螽Ｔｈａｕ－ｍａｓｐｉｓｈｅｎａｎｅｎｓｉｓ,ｓｐ．ｎｏｖ．。模式标本存中国科学院上海昆虫研究所。     

中国掩耳螽属二新种论述：（直翅目：螽斯总科：露螽科）

论述在安徽、江西、浙江及辐射采到的螽斯二新种：宽肛掩耳螽（Ｂｌｉｍａｅａ ｍｅｇａｌｏｐｙｇｍａｅａ．ｓｐ．ｎｏｖ），叶肛掩耳螽（Ｂｌｉｍａｅａ ｆｏｌｉａｔａ ｓｐ．ｎｏｖ）．模式标本均保存在山东大学生物系。     

中国掩耳螽属二新种论述(直翅目:螽斯总科:露螽科)

论述在安徽、江西、浙江及福建采到的螽斯二新种：宽肛掩耳螽（Ｂｌｉｍａｅａｍｅｇａｌｏｐｙｇｍａｅａ．ｓｐ．ｎｏｖ），叶肛掩耳螽（Ｂｌｉｍａｅａｆｏｌｉａｔａｓｐ．ｎｏｖ．）．模式标本均保存在山东大学生物系     

斑腿沙螽的染色体及C带核型研究

对采自西安的斑腿沙螽Ｔａｃｈｙｃｉｎｅｓｅｌｅｇａｎｔｉｓｓｉｍｕｓ（Ｇｒｆｆｉｎｉ）的染色体进行了分析。     

斑腿沙螽的染色体及C带核型研究

对采自西安的斑腿沙螽Ｔａｃｈｙｃｉｎｅｓｅｌｅｇａｎｔｉｓｉｍｕｓ（Ｇｒｉｆｉｎｉ）的染色体进行了分析．结果显示,核型为２ｎ♂＝３１（１８ｍ＋２ｓｍ＋１０ｔ＋Ｘ）;组式为２ｎ＝２Ｌ＋１４Ｍ＋１４Ｓ＋Ｘ;ＮＦ＝５２．对该种沙螽的Ｃ带核型研究表明,斑腿沙螽的异染色质含量为３０．３３％．     

比氏康螽（直翅目：螽斯科）的生物学特性研究

比氏康螽（ＣｏｎｏｎａｌｕｓｐｉｅｌｉｃＴｉｎｋｈａｍ）是直翅目螽斯科昆虫，主要生活在海拔１０００ｍ左右的浅山地带，以捕食竹林中其它昆虫及小型动物为生．经过１９８６—１９８７年在四川卧龙自然保护区、木江坪保护站对比氏康螽进行的生活史系统观察，发现此种昆虫在这个区以卵越冬，一年仅发生一代，若虫有五龄．雌性成虫喜将印产在杂草的根基部．     

日本条螽鸣声特征的初步研究

应用计算机技术研究采自山西临汾的日本条螽「Ｄｕｃｅｔｉａ ｊａｐｏｎｉｃａ（Ｔｈｕｎｂｅｒｇ）」的鸣声特征。结果表明：日本条螽的鸣叫分起始阶段、低潮阶段和高潮阶段、。低潮阶段的脉冲重复率为９Ｈｚ，高潮阶段的脉冲重复率为５０Ｈｚ。低潮阶段的主能峰频率为１．４ｋＨｚ，次能峰频率为２．４ｋＨｚ。高潮阶段的主能峰频率为１．８ｋＨｚ，次能峰频率为１．６ｋＨｚ。日本条螽鸣叫的能峰主要分布频率为１００Ｈｚ～２．     

两类三阶非自治系统的全局渐近稳定性

利用L iapunov函数法,给出两类方程…x g(x。)x。 bx。 f(x)=e(t,x,x,。x。)和…x g(x。)x。 f(x)x。 cx=e(t,x,x,。x。)零解全局渐近稳定性的充分条件,推广文献[1~4]中的相关结论.     

几种特殊图的填充数

应用图的最优填充分解定理和局部最优填充定理,得到了书本图Bm、方型网图F(m;n)(m=1,2,3)和蛛网图W(m,n)(m=1;n=3)的填充数表达式分别为:F(Bm)=m,F(F(1;n))=n,F(F(2;n))=4n-3,F(F(3;n))=({]3,n=1,9,n=2,14,n=3.)F(W(1,n))=n-3,F(W(m,3))=3(m-1).     

关于(A+tB)m主子式的和的注记

当A,B中有一个是正定矩阵,另一个是半正定矩阵时,(A tB)m的主子式的和在k=n(任意m)和m<3(任意k,n)这两种情况下是关于t的正系数多项式.     

Operational properties and matrix representations of quantum measures

Denoted by M(A), QM(A) and SQM(A) the sets of all measures, quantum measures and subadditive quantum measures on a σ-algebra A, respectively. We observe that these sets are all positive cones in the real vector space F(A) of all real-valued functions on A and prove that M(A) is a face of SQM(A). It is proved that the product of m grade-1 measures is a grade-m measure. By combining a matrix M _μ to a quantum measure μ on the power set A _n of an n-element set X, it is proved that μ ≪ ν (resp. μ ⊥ ν) if and only if M _μ ≪ M _ν (resp. M _μ M _ν =0). Also, it is shown that two nontrivial measures μ and ν are mutually absolutely continuous if and only if μ·ν∈QM(A _n ). Moreover, the matrices corresponding to quantum measures are characterized. Finally, convergence of a sequence of quantum measures on A _n is introduced and discussed; especially, the Vitali-Hahn-Saks theorem for quantum measures is proved.     

Global and non-global solutions to some chemotaxis model

The paper is concerned with some chemotaxis model ∂u/∂t=D▿(u▿ln(u/w))+u(a−bu),∂w/∂t=f(u,w). To study the behavior of the solution, some function transformations are introduced, and the main tool is sup-sub-solution method. The result shows that, whether the solution blows up in finite time depends on the parameters and the initial data. As the chemical substance w has linear growth, f(u,w)=βu−δw, where β>0, δ>0 and a+δ>0, wherein the solution exists globally. However, as w possesses exponential growth, f(u,w)=(βu−δ)w, wherein both u and w share the same blowup point and time if the solution blows up in finite time. Biography: CHEN Hua(1956–), male, Professor, Ph. D., research direction: partial differential equation and its application.     

非本原复反射群G(m,p,n)中的反射序

设m，p，n是正整数且p整除m。令G（m，p，n）是非本原复反射群.根据文献介绍了群G（m，p，n）中的一种偏序，称为反射序.文中将研究当1 < p < m时，群G（m，p，n）中的反射序.     

Restricted allowable generalized quantum gates

An allowable generalized quantum gate (introduced by Long, Liu and Wang) has the form of U = Σ _k=0 ^d−1 c _k U _k , where U _k’s are unitary operators on a Hilbert space H and |Σ _k=0 ^d−1 c _k |⩽1 and |c _k |⩽1 (0⩽k⩽d−1). In this work we consider a kind of AGQGs, called restricted allowable generalized quantum gates (RAGQGs), satisfying 0 < Σ _k=0 ^d−1|c _k |⩽1. Some properties of the set RAGQG(H) of all RAGQGs on H are established. Especially, we prove that the extreme points of RAGQG(H) are exactly unitary operators on H and that B(H)=R ⁺ RAGQG(H).     

一类2n次Kolmogorov系统的极限环

研究一类2n次Kolmogorov系统{dx/dt=x(a0-a1x a3x3-a4x4 a5xy2n-1),dy/dt=y(b1x2n-b2),极限环的存在性问题.主要讨论a5＞0和a5＜0两种情形.当a5＞0时,系统在第一象限内不存在极限环;当a5＜0时,得到了平衡点的稳定性态,系统无闭轨的充分条件以及在第一象限内存在稳定极限环的条件.     

一类函数迭代的性质

采用矩阵法求出分式线性函数f(x)=(ax+b)/(cx+d)的n次迭代表达式fn(x),并分别对fn(x)的周期性、单调性、不动点进行讨论.     

A Large Deviation Principle for the Risk Process with Varying Premium

Let u ∈ R ,for any ω 〉 0, the processes X^ε = {X^ε（t）; 0 ≤ t≤ 1} are governed by the following random evolution equations dX^ε（t）= b（X^ε（t）,v（t））dt-εdSt/ε, where S={St; 0≤t≤1} is a compound Poisson process, the process v={v（t）; 0≤t≤1} is independent of S and takes values in R^m. We derive the large deviation principle for{（X^ε,v（.））; ε〉0} when ε↓0 by approximation method and contraction principle, which will be meaningful for us to find out the path property for the risk process of this type.