二类微分系统（Ⅲ）类方程的同宿分支

通过分析未扰系统的同宿轨在小扰动下的稳定流形和不稳定流形之间的相对位置,研究了平面二次微分系统具有如下形式的（Ⅲ）类方程x=-y＋δx＋mxy＋ny^2,y=x（1＋ax＋by）（b≠0,n≠0）的同宿分支极限环的问题．给出了系统分别存在稳定极限环和不稳定极限环的条件．     

Earth's Surface Water Percentage?

A hands-on activity is used to illustrate standard point and interval estimates of a proportion. Since the proportion is more or less known, the accuracy of these estimates can be assessed. A hypothesis test associated with the interval estimate is also given.     

Training load quantification in elite swimmers using a modified version of the training impulse method

Abstract

Prior reports have described the limitations of quantifying internal training loads using hear rate (HR)-based objective methods such as the training impulse (TRIMP) method, especially when high-intensity interval exercises are performed. A weakness of the TRIMP method is that it does not discriminate between exercise and rest periods, expressing both states into a single mean intensity value that could lead to an underestimate of training loads. This study was designed to compare Banister's original TRIMP method (1991) and a modified calculation procedure (TRIMPc) based on the cumulative sum of partial TRIMP, and to determine how each model relates to the session rating of perceived exertion (s-RPE), a HR-independent training load indicator. Over four weeks, 17 elite swimmers completed 328 pool training sessions. Mean HR for the full duration of a session and partial values for each 50 m of swimming distance and rest period were recorded to calculate the classic TRIMP and the proposed variant (TRIMPc). The s-RPE questionnaire was self-administered 30 minutes after each training session. Both TRIMPc and TRIMP measures strongly correlated with s-RPE scores (r = 0.724 and 0.702, respectively; P < 0.001). However, TRIMPc was ～9% higher on average than TRIMP (117 ± 53 vs. 107 ± 47; P < 0.001), with proportionally greater inter-method difference with increasing workload intensity. Therefore, TRIMPc appears to be a more accurate and appropriate procedure for quantifying training load, particularly when monitoring interval training sessions, since it allows weighting both exercise and recovery intervals separately for the corresponding HR-derived intensity.     

比率型捕食者-食饵模型的稳定性与分支

对比率依赖型捕食者-食饵模型进行研究.关于捕食者的死亡率,不仅考虑捕食者的自然死亡因素,还应加入种内之间争夺资源及其它原因引起的死亡因素,即捕食者之间密度制约因素,得到了系统稳定性的条件;并通过分支理论得到了极限环的存在性.通过研究退化的唯一正平衡点,得到了Bogdanov-Takens分支,分支出同宿圈.     

利用USB快速实现UCL值计算

本文针对现场洁净室悬浮粒子数的UCL值测定的要求,对已开发的尘埃粒子计数器的接口进行改进,从而使检测更方便,结果更快捷,提高工作效率。针对USB的实现和UCL计算等问题进行了探讨。     

具有存放率的单种群扩散系统的定性研究

对两斑块环境下具有存放率的单种群扩散系统进行了定性的研究 ,得出了在扩散系数不太大的条件下种群具有稳定的状态的结论 .     

一类三次系统在第四象限极限环的存在性

章讨论三次系统x=x(a0 a1x a2y a3x^2 a4xy),y=y(x-1)在第四象限的极限环的存在与不存在问题。     

Interval standard neural network models for nonlinear systems

INTRODUCTION Neural networks have been successfully em- ployed for controlling nonlinear systems since the 1990’s (Narendra and Parthasarathy 1990; Hunt et al., 1992; Suykens et al., 1996). In these nonlinear control systems, neural networks have been used either for modelling the system to be controlled, or for design- ing a controller, or both. Recently, the robustness issue has been an important focus of research in neuro-control circles (Suykens et al., 1996; Wams et al., 1999; Aya…     

载流圆线圈外空间任意一点磁场的研究

使用极限法和椭圆积分法求出载流圆线圈外空间任意一点磁感应强度．并以此来近似计算载流圆筒在空间任意一点的磁感应强度。     

如何理解数列极限的ε-N定义

从定性描述、分析定义、几何直观、反面剖析和等价叙述等几个角度讲述了如何理解数列极限的“ε-N”定义。