一些非光滑Lienard系统的小扰动极限环(英文)

根据韩茂安等所得到的计算非光滑Lienard系统的焦点量的方法,应用maple程序,给出一些较一般的非光滑Lienard系统从原点处分支出的极限环数目.     

一类(5,10)次Liénard方程的小振幅极限环

研究了一类m=5,n=10次Liénard系统在原点邻域的极限环数目问题,先通过计算机符号计算出原点的奇点量,再通过行列式方法证明了系统原点充分小邻域能产生9个极限环.给出了Ĥ（5,10）的一个新下界,即Ĥ（5,10）≥9.     

Industry funds in universities: new guidelines emerge from Pajaro Dunes

The Pajaro Dunes conference, organized at the suggestion of Stanford University president Donald Kennedy, brought the presidents and selected faculty members of Stanford, Harvard, MIT, the University of California, and the California Institute of Technology together with senior executives from biotechnology companies which sponsor university research. It produced agreement on an 11-page statement of principles which marks an initial attempt to establish a national consensus on collaboration between universities and industry. The participants have been sent a letter, signed by 25 other university researchers and some prominent union and consumer spokesmen, calling for a second conference to explore additional points of view.     

具有阶段结构和时滞的幼年染病单种群模型研究

研究了一个具有阶段结构和时滞的幼年染病单种群模型.通过常微分方程的特征根法,借助几何图形分析了3个平衡点的存在性,得到了它们局部稳定的充要条件.并且在推论中找到了参数τ影响平衡点稳定性的阈值,得到了当参数τ在不同区间取值时对应的平衡点的稳定性,并通过例题验证了定理的结论.最后,对于所得的数学结果给出了生物意义下的解释:若时滞较大,即种群的成熟期较长,则种群走向绝灭;若时滞较小,即种群的成熟期较短,则种群可以持续生存.     

Memory CD4 T cells emerge from effector T-cell progenitors

A hallmark of adaptive immunity is the generation of memory T cells that confer long-lived, antigen-specific protection against repeat challenges by pathogens. Understanding the mechanisms by which memory T cells arise is important for rational vaccination strategies and improved therapeutic interventions for chronic infections and autoimmune disorders. The large clonal expansion of CD8 T cells in response to some infections has made the development of CD8 T-cell memory more amenable to study, giving rise to a model of memory cell differentiation in which a fraction of fully competent effector T cells transition into long-lived memory T cells. Delineation of CD4 T-cell memory development has proved more difficult as a result of limitations on tracking the smaller populations of CD4 effector T cells generated during a pathogenic challenge, complicating efforts to determine whether CD4 memory T cells are direct descendants of effector T cells or whether they develop by alternative pathways. Here, using two complementary cytokine reporter mouse models to identify interferon (IFN)-gamma-positive effector T cells and track their fate, we show that the lineage relationship between effector and memory CD4 T cells resembles that for CD8 T cells responding to the same pathogen. We find that, in parallel with effector CD8 T cells, IFN-gamma-positive effector CD4 T cells give rise to long-lived memory T cells capable of anamnestic responses to antigenic rechallenge.     

9个扰动哈密顿系统的极限环分布

 用微分方程定性分析方法和数值模拟方法研究9个扰动哈密顿系统的极限环个数和分布情况.结果显示9个系统具有相同的极限环分布,在某些参数条件下它们都有14个极限环.数值模拟给出了这14个极限环的精确位置.     

几个多项式微分系统极限环的个数

研究了可积系统(称为未扰系统).{xx=-y(1+x4).y=x(1+x4).在几类多项式扰动之下极限环的个数.即当未扰系统加上低次扰动后,考虑扰动系统:.xx=-y(1+x4.)x=-y(1+x4),.y=x(1+x4)+εPn(x,y),+εQn(x,y),1≤n≤4,其中Pn,Qn是任意的n次多项式,讨论了它们从未扰系统的周期环处分支出极限环的个数.通过计算扰动系统的一阶M eln i-kov函数以及估计其根的个数得到从未扰系统的周期轨处分支出极限环的最大个数.证明了未扰系统加上1次或者2次扰动项时,扰动系统最多有1个极限环;加上3次或者4次扰动项时,扰动系统最多有4个极限环.     

带两个区域的平面分段光滑系统的非双曲极限环分岔

本文讨论了一类含有两条切换线的平面分段光滑系统的非双曲极限环的分岔.假设该系统的未扰系统含有一个非双曲极限环且它分别与每一条切换线横截相交一次,本文应用Diliberto定理和由此引出的变分引理导出了极限环的Poincaré映射,并讨论了极限环的稳定性及其在扰动下的分岔.     

受扰动的三次Hamilton系统中12个极限环的分布情况

用定性分析和数值判定方法在带有5次扰动的三次平面Hamilton系统中发现了12个极限环,给出了这12个极限环的分布情况.     

基于Co-ah循环的热电联产集中供热方法

为了降低大型热电联产集中供热系统能耗,该文提出了一种基于Co-ah循环的热电联产集中供热方法.在热力站设吸收式换热机组,使热网回水温度降低至约20℃,在热电厂内经汽轮机凝汽器、吸收式热泵和调蜂热源等环节将热网回水逐级加热.形成热网的吸收式(Co-ah)循环.通过拉大供回水温差而大幅增加热网的输送能力,并通过回收汽轮机排汽余热而显著提升热电厂供热能力和能源利用效率.     

一类具有奇异积分直线的平面三次微分系统的极限环

研究三次系统dx/dt=-y(ax2+bx+1)+Dx-lx3dy/dt=x(ax2+bx+1)在a=0,b≠0,D≥l/b2与b2=4a,b≠0,D≥4b/2l时,该系统极限环的存在性问题,证明了系统在上述条件下均不存在极限环.     

Hamilton系统在三次、四次多项式扰动下的极限环

利用Poincare分支与Hopf分支的有关理论,讨论了一类扰动项是三次和四次多项式的Hamilton扰动系统的极限环个数问题,在该系统的一阶 Melnikov函数恒为零仁二阶Melnikov函不恒为零的情况下,得到了这两个扰动的极限环数目的最小上界分别为B（4）＝3和B（3）＝2的结论。     

Eight glacial cycles from an Antarctic ice core

The Antarctic Vostok ice core provided compelling evidence of the nature of climate, and of climate feedbacks, over the past 420,000 years. Marine records suggest that the amplitude of climate variability was smaller before that time, but such records are often poorly resolved. Moreover, it is not possible to infer the abundance of greenhouse gases in the atmosphere from marine records. Here we report the recovery of a deep ice core from Dome C, Antarctica, that provides a climate record for the past 740,000 years. For the four most recent glacial cycles, the data agree well with the record from Vostok. The earlier period, between 740,000 and 430,000 years ago, was characterized by less pronounced warmth in interglacial periods in Antarctica, but a higher proportion of each cycle was spent in the warm mode. The transition from glacial to interglacial conditions about 430,000 years ago (Termination V) resembles the transition into the present interglacial period in terms of the magnitude of change in temperatures and greenhouse gases, but there are significant differences in the patterns of change. The interglacial stage following Termination V was exceptionally long--28,000 years compared to, for example, the 12,000 years recorded so far in the present interglacial period. Given the similarities between this earlier warm period and today, our results may imply that without human intervention, a climate similar to the present one would extend well into the future.     

一类奇次微分系统极限环的存在性与惟一性

关于平面自治微分系统的定性研究,2次系统已有大量系统的结果,但是还没有得到完全解决,随着2次系统大量研究成果的产生,对3次系统研究工作也日益增多.文章对一类(2n+1)次微分系统进行了详细的讨论,主要运用G. Sansone定理及旋转向量场理论分析得出其极限环的存在性与惟一性及闭轨的完整结果,这是对3次系统研究成果的推广和延伸.3次系统的某些结论,在本文成为当n=1时的自然结论.     

一类平面微分系统极限环的存在惟一性

借助Poincare切性曲线法、旋转向量理论、环域定理和张芷芬定理对平面微分系统x=-y+δx+(a+bx)φ(x),y=x2n-1(1+c2x2m)(m,n∈N)进行全面分析,得到其极限环的存在性、惟一性与不存在性的完整结果。     

三维多项式微分系统在z轴附近的极限环

考虑三维多项式微分系统x=-y(1+x)+ε(ax+F(x,y,z)),y=x(1+x)+ε(ay+c(x,y,z)),z=ε(cz+R(x,y,z))(F(0,0,z)=0,G(0,0,z)=0),利用一阶平均理论得到上面系统可以从x=-y(1+x),y=x(1+x),z=0的周期轨中分支出n2个极限环,最后用一个例子展示主要结果的简洁性和有效性.     

一类奇次微分系统的极限环研究

借助德拉格辽夫定理、张芷芬定理以及Dulac函数和特殊曲线对微分系统 x =-y δx xy lx2n 1 ,　 y=x2n- 1进行研究 ,得到其极限环的存在性、惟一性与不存在的充分条件     

一类平面微分系统极限环的存在惟一性

目的为讨论一类平面微分系统极限环的存在惟一性及不存在性。方法运用G．Sansone 定理和旋转向量场理论对此类平面微分系统极限环的存在惟一性进行了讨论。结果得到了此类系统极限环的存在惟一性及不存在性的完整分析。结论与传统方法相比,运用G．Sansone定理和旋转向量场理论对此类平面微分系统极限环的存在惟一性及其稳定性进行分析,得到了完整的结果。