多参数等变分歧问题的开折的无穷小稳定性(英文)

基于奇点理论中的映射芽的左右等价关系,本文对等变分歧问题引入一种新的等价关系,提出了多参数等变分歧问题的开折关于该等价关系的无穷小稳定性的新概念,给出了多参数等变分歧问题的开折是无穷小稳定的充分必要条件.     

参数具有对称性的等变分歧问题及其开折的稳定性(英文)

提出了参数具有对称性的等变分歧问题及其开折的稳定性 ,给出了参数具有对称性的等变分歧问题及其开折是稳定的充分必要条件     

关于等变分歧问题的通用开折的注记

本文给出了多参数等变分歧问题有通同开折的一个充分必要条件。     

等变分歧问题开折的（Γ,△）-等价不变性

分歧问题开折的研究是一个重要的内容,利用光滑映射芽奇点理论中的接触等价理论,定义了分歧参数带有对称性的等变分歧问题开折的（Γ,△）-等价,且允许分歧参数带有与状态变量可能不同的对称性,讨论开折在（Γ,△）-等价下的不变性,得到了开折的通用性是（Γ,△）-等价不变性.     

含两组状态变量的多参数等变分歧问题关于左右等价群的通用开折

在文献[7]的基础上，继续探讨舍两组状态变量的多参数等变分歧问题的通用开折的性质，其中包括万有开折的惟一性问题。     

无穷小性质与应用研究

对无穷小的性质与应用进行了探讨,得到了无穷小在判断级数敛散性、求一些未定型极限问题、运用无穷小的阶来判断广义积分的敛散性以及无穷小在计算含有变上限积分的极限等方面新的处理方法。     

一类互惠模型平衡解的局部分歧与稳定

研究了一类半线性反应扩散模型在齐次Nevmann边界条件下正平衡解的分歧与稳定。利用特征值分歧理论和谱分析的方法,以a为分歧参数研究了当p=1时系统在常数平衡解（0,qb）附近出现分歧现象,进而得到了该模型正平衡解存在的充分条件;同时运用线性特征值的扰动定理和分歧解的稳定性理论给出了该分歧解的稳定性。     

高维自治系统平衡分歧的稳定性

本文利用Liapunov—Schmidt方法对高维自治微分系统平衡分歧的稳定性进行了讨论,得到了常见三种平衡分歧稳定性的结论.     

编辑过程中分歧问题探讨

正确理解编辑过程中产生的分歧问题不仅有助于读者和论著者更好地理解评审人的工作，而且有助于评审人内部工作的分工和协调。     

编辑过程中分歧问题探讨

正确理解编辑过程中产生的分歧问题不仅有助于读者和论著者更好地理解评审人的工作,而且有助于评审人内部工作的分工和协调。     

具有摩擦支承边界矩形薄板的局部分岔

建立了具有摩擦支承边界的矩形薄板在面内载荷作用下的动力学方程 ,利用L S方法和奇异性理论对系统进行了局部分叉研究 ,讨论了非退化情况下Z2 分叉问题 .利用数值模拟给出了开折参数局部分叉集图和分叉响应曲线及物理参数平面上的分叉响应规律 ,其结果与解析和实验研究有很好的一致性 .     

右等价下函数芽的内蕴理想

通过研究在接触等价下函数芽的识别问题,把其中的分歧参数改为状态变量,从而给出了在右等价下函数芽的识别问题的基本概念:内蕴理想及其性质。     

蛋白质分子能量与信息传输方程的局域普适开折与Hopf分支

考虑了蛋白质分子能量与信息传输方程的局域普适开折，在此基础上研究了方程的Hopf分支，普适开折的Hopf分支是通有的，这有利于生命体内蛋白质分子能量与信息传输的合理解释．     

Local Bifurcation Analysis of Parameter-Excited Resonance of Pipes under Thermal Load

The stability and local bifurcation of the lateral parameter-excited resonance of pipes induced by the pulsating fluid velocity and thermal load are studied. A mathematical model for a simply supported pipe is developed according to Hamilton principle. The Galerkin method is adopted to discretize the partial differential equations to the ordinary differential equations. The method of multiple scales and the singularity theory are utilized to analyze the stability and bifurcation of the trivial and non-trivial solutions. The transition sets and bifurcation diagrams are obtained both in the unfolding parameter space and physical parameter space, which can reveal the relationship between the thermal field parameter and the dynamic behaviors of the pipe. The numerical results demonstrate the accuracy of the single-mode expansion of the solution and verify the stability and local bifurcation analyses. The critical thermal rates are obtained both by the numerical simulation and the local bifurcation analysis. The natural frequency of lateral vibration decreases as the mean fluid velocity or the thermal rate increases according to the numerical results. The present work can provide valuable information for the design of the pipeline and controllers to prevent structural instability.     

Hcop-模代数和量子扬-巴克斯特模的线性映射

设H是域k上的具有双射反极S的Hopf代数,M,N是在左-右量子扬-巴克斯特模.通过讨论量子扬-巴克斯特模的同态加群,证明(1)当H是交换Hopf代数时,HOMH(M,N)是在左-右量子扬-巴克斯特模.(2)HOMK(M,N),是左-右量子扬-巴克斯特模;(3)证明了ENDK(M)是Hcop-模代数,并且是量子扬-巴克斯特模范畴中的代数.     

The development of left-right decentration in four- to seven-year old children

The study tries to disentangle the processes of left-right discrimination on self and on other refrents. Ninety-six 4- to 7- year old children were individually given several situations requiring left-right discrimination on self and decentration. Three related tasks were also presented: a lateralization task, an orientation task and a projection task. A semi-structured interview was finally conducted in which children explained their comprehension of left-right discrimination. Body rotations were recorded in the various tasks and during the interview. Correct deictic gestures and a measure of the children’s reasoning in the interview were also obtained. With respect to left-right discrimination on self, it was hypothesized that this kind of knowledge is anchored in the body and related to the lateralization measure. With respect to decentration, a task analysis was conducted. It was predicted that orientation and projection tasks are simple tasks mastered before left-right decentration, a complex task into which the simple tasks have to be integrated. Decentration requiring the coordination of an invariant component and of the variant component of orientation was expected to be positively correlated with body rotations. Different methodological improvements referring to reliability and validity were also introduced into the different assessment procedures. Results are confronted with the Piagetian hypothesis of interiorization of overt action into representation. An alternative hypothesis is proposed: it ties together the constellation of results obtained in the present study, and in recent studies referring to children’s cognitive development and adult’s nonverbal behavior.