壳聚糖分子对共沉淀法合成羟基磷灰石/壳聚糖粉体材料晶体形貌的影响

采用沸腾水浴共沉淀法,以尿素为pH调节剂制备羟基磷灰石/壳聚糖(HA/CS)复合粉体材料,通过XRD、FTIR和SEM对晶体组成、形貌进行表征,考察了壳聚糖平均分子量、添加量及反应物浓度对HA/CS晶体形貌的影响。结果表明,沸腾水浴共沉淀法可在较短时间内制备HA/CS复合粉体,改变反应物浓度可使晶体形貌由针状与球状同时存在转变为几乎全部是球状晶体,而CS平均分子量和添加量的影响较小。     

Synchronization between integer-order chaotic systems and a class of fractional-order chaotic system based on fuzzy sliding mode control

In this paper, we focus on the synchronization between integer-order chaotic systems and a class of fractional-order chaotic system using the stability theory of fractional-order systems. A new fuzzy sliding mode method is proposed to accomplish this end for different initial conditions and number of dimensions. Furthermore, three examples are presented to illustrate the effectiveness of the proposed scheme, which are the synchronization between a fractional-order Lü chaotic system and an integer-order Liu chaotic system, the synchronization between a fractional-order hyperchaotic system based on Chen??s system and an integer-order hyperchaotic system based upon the Lorenz system, and the synchronization between a fractional-order hyperchaotic system based on Chen??s system, and an integer-order Liu chaotic system. Finally, numerical results are presented and are in agreement with theoretical analysis.     

Hopf bifurcation analysis in a delayed oncolytic virus dynamics with continuous control

A delayed oncolytic virus dynamics with continuous control is investigated. The local stability of the infected equilibrium is discussed by analyzing the associated characteristic transcendental equation. By choosing the delay ?? as a bifurcation parameter, we show that Hopf bifurcation can occur as the delay ?? crosses some critical values. Using the normal form theory and the center manifold reduction, explicit formulae are derived to determine the direction of bifurcations and the stability and other properties of bifurcating periodic solutions. Numerical simulations are carried out to support the theoretical results.     

A Liouville type theorem for a variational problem with free boundary in three dimensions

We consider the minimum problem for the functional

_EΩ(u)=_∫Ω(|Du|²+λ²_χ{u>0})$E_{\Omega }\left(u\right)={\int }_{\Omega }({\left|Du\right|}^2+{\lambda }^2{\chi }_{\{u>0\}})$

in three dimensional space, where λ>0$\lambda >0$ is a constant. We will establish a Liouville type theorem for this variational problem: if u∈C(R³)$u\in C\left({\mathbb{R}}^3\right)$ is a nonnegative and nonzero global minimizer, then u(x)=λ((x−_x0)⋅ν)⁺$u\left(x\right)=\lambda {((x-x_0)\cdot \nu )}^{+}$ for some point _x0$x_0$ and some unit vector ν$\nu$.     

The effect of predator competition on positive solutions for a predator–prey model with diffusion

A diffusive predator–prey model with predator competition is considered under Dirichlet boundary conditions. Some existence and non-existence results are firstly obtained. Then by investigating the bifurcation of positive solutions, the multiplicity of positive solutions is established for suitably large m$m$. Furthermore, by meticulously analyzing the asymptotic behaviors of positive solutions when k$k$ goes to ∞$\infty$, we find that there is at most a positive solution for any c∈R$c\in R$ when k$k$ is sufficiently large. At last, some numerical simulations are presented to supplement the analytic results in one dimension.     

蚂蚁聚类算法在炮兵阵地选择中的应用

针对炮兵阵地配置的特殊要求,将模糊数学中的隶属度概念引入到炮兵阵地聚类算法之中,具有较强的可操作性,利于计算机实现,对炮兵指挥决策有一定的参考价值.     

模糊代数系统

引入模糊代数系统及其强解的概念,给出其特有性质.定义proper和V-proper模糊代数系统,并给出其解的一般表达形式.建立模糊代数系统与模糊上下文无关文法相互转化法则.最后得出结论:任一proper和V-proper模糊代数系统都存在唯一强解.模糊上下文无关文法生成的模糊语言和其对应的模糊代数系统的强解的某个分量是相等的.     

基于有限迁移系统的线性时态逻辑的计量化方法

基于有限迁移系统中全体无穷初始路径之集上的某种均匀概率测度,定义迁移系统TS对于LTL公式φ的满足度,并指出该概念是"TS满足φ"这一概念的计量化推广。在满足度理论的基础上,引入LTL公式之间的相似度,并诱导全体LTL公式之集上的伪距离,从而构建LTL逻辑度量空间。     

通用模糊自动机

首先使用模糊语言的分解定义了通用模糊自动机:这个自动机以该模糊语言的分解作为状态,通过模糊语言的包含度定义其转移函数。其次定义了模糊自动机上的态射,证明了接受给定模糊语言的所有自动机都可以标准地映射到该语言对应的通用模糊自动机上,这个性质称为通用性。最后进一步讨论了模糊商自动机,模糊m-最小自动机,模糊最小自动机及与通用模糊自动机之间的关系。