2-连通无爪图的最长圈

讨论了２－连通无爪图中的最长圈,得到了：当Ｇ是一个非Ｈａｍｉｌｔｏｎ的２－连通的无爪图,且ξ（Ｇ）≥１２λ（Ｇ）时,则ｃ（Ｇ）≥２ξ（Ｇ）＋４．     

具功能反应的食饵与捕食者两种群模型的极限环

研究了具功能反应的食饵与捕食者两种群模型：{dx/dt=x(θ1 θ2x-θ3x^2-y),dy/dt=y(-1 x).讨论了该系统平衡点的性态，并证明了权限环的存在性与惟一性及其全局稳定性。     

一类三次微分系统的极限环

给出了具有三个一阶细焦点的平面多项式系统经参数扰动后在三个焦点外围分别同时分支出极限环的例子．     

一类食饵与捕食者系统的极限环

研究了一类食饵与捕食者系统：dx／dt＝x(a bx cx^2 dy exy)，dy／dt＝y(x^2-1)。在某些条件下，证明了该系统的极限环的存在性和唯一性以及不存在性。     

基于SIP的大功率柴油机电控喷油系统的改进

在研究了机车用大功率柴油机电控系统中电磁阀阀芯的运动规律和线圈电流的波形形状基础上,提出了电磁阀电流波形中的喷油起始点(SIP)的寻找方法,并且基于SIP提出一种新的周期预推算法.针对传统电磁阀驱动电路在释放时电流存在的拖尾情况,采用了在电磁阀线圈续流回路中反向串联稳压二极管的方法,大大缩短了电磁阀释放时间.针对机车用大功率多缸柴油机系统对实时性要求更加苛刻的情况,采用了双CPU的架构.该装置经过泵-管-嘴实验台的试验,结果表明系统运行稳定,控制精准,很好地满足了电控喷油系统的要求.     

不含4,5,6-圈的平面图的均匀染色

设Φ是图G的一个正常的顶点染色, 若Φ的任何两种不同颜色所染的顶点数目至多相差1,称是G的一个均匀染色。对于不含4,5,6-圈的平面图, 且最大度Δ≥9,那么G存在均匀Δ-染色。     

Occurrence of two types of El Nin?o events and the subsurface ocean temperature anomalies in the equatorial Pacific

The relationships between the evolution of two types of El Ni?o events and the subsurface ocean temperature anomaly(SOTA) in the equatorial Pacific are compared in this study. The results show that both types of El Ni?o are negatively correlated to the SOTA in the equatorial western Pacific, but relationships are different in different phases of El Ni?o. Furthermore, the occurrence of different types of El Ni?o is related to different features of the equatorial thermocline, e.g. its zonal gradient, significant variation area, amplitude and duration of thermocline oscillation. The propagation of SOTA in the equator plays an important role during the evolution of both types of El Ni?o, but shows dramatic differences in intensity, duration and phase reverse of warm SOTA. Moreover, the pathways of SOTA signal are different between these two types of El Ni?o. The dominant pathway in the life cycle of Eastern Pacific(EP)-El Ni?o lies on the equator and to its north, but there is no loop to the south of the equator. In contrast, the dominant pathway in Central Pacific(CP)-El Ni?o is located on the equator and to its south, and the propagation signal of SOTA to the north of the equator is very weak.The relationships between the zonal wind anomalies and the two types of El Ni?o are also preliminarily discussed. It is shown that EP-El Ni?o is more likely to respond to the westerly anomalies over the equatorial central and western Pacific, while CP-El Ni?o is more likely to respond to the westerly anomalies over the equatorial western Pacific and need the cooperation of easterly anomalies over the equatorial eastern Pacific to certain extent.     

一类奇次微分系统的极限环的存在性

对奇次微分系统·ｘ＝ － ｙ＋ δｘ＋ ａｘｙ＋ ｂｘ２ｎ＋１ ,·ｙ＝ ｘ 进行定性分析,运用Ｎ．Ｌｅｖｉｓｏｎ,Ｏ．Ｋ．Ｓｍｉｔｈ 定理和А．В．Драгидёв定理得到其在一定条件下极限环的存在性,并借助对称方法、特殊曲线以及构造Ｄｕｌａｃ 函数得到其在一定条件下的极限环不存在性     

降水改变对樟子松人工林土壤微生物量碳及微生物商动态变化的影响

在北京大学地球环境与生态系统塞罕坝实验站樟子松（Pinus sylvestris var. mongolica）人工林内设置降水控制实验,研究地下生态系统过程的两个重要指标土壤微生物量碳和微生物商对穿透雨增加或减少30%的响应。在2007年5月到9月的生长季,土壤微生物量碳和微生物商平均值分别为260.7mg/kg和1.84%,二者随土壤深度增加呈下降趋势。总体上,穿透雨增加或减少30%对土壤微生物量碳和微生物商的生长季内平均值影响不显著,但穿透雨减少30%的土壤微生物量碳及微生物商的变幅较大,变化范围分别为243.1～354.3mg/kg和1.43%～2.16%,5月最高,7月最低,表明生长季内穿透雨减少将导致土壤微生物活动的较大波动,从而可能改变地下碳过程的季节变化规律。     

Z_4等变七次多项式的极限环数目

研究了一个近哈密顿系统在Z4等变七次多项式扰动下的极限环数目.利用了Hopf分支和异宿分支理论.得到扰动系统产生16个极限环.