方程u''(t)=au(t)+a2u([t+2])的线性θ-方法数值稳定性

分析了方程u'(t)=au(t) a2u([t 2])的线性θ-方法的稳定性,给出了稳定区域,并得到了θ-方法稳定区域包含解析解稳定区域的条件.     

广义椭圆曲线数字签名动态用户认证机制

基于口令的身份认证机制是分布式系统安全体系的重要组成部分。利用一个无需求逆的广义椭圆曲线签名算法构造了一个动态远程用户认证方案:GECSA方案。该方案基于“质询响应”机制,无需时戳,其安全性基于单向Hash函数和椭圆曲线离散对数计算的困难性,包括注册阶段、登录阶段、认证阶段和更改口令阶段,允许用户自主选择并更改口令,实现了双向认证;具备完备性和不可转让性,是一个低开销的、安全的远程用户认证机制。     

一类动态SEIS模型的Hopf分岔及混沌

建立了一类人口动态变化的SEIS模型,运用Hurwitz判据得到了平衡点的渐近稳定条件,证明了所建系统产生Hopf分岔、极限环和混沌。     

双线性导数方法求解KdV-mKdV混合方程

利用双线性导数方法求解KdV-mKdV混合方程,得到其单孤立子解、双孤立子解以及n孤立子解的解析表达式.运用数学软件对KdV-mKdV混合方程的非线性色散关系进行了分析,并通过波形图像展示了其单孤立子解、双孤立子解的相互作用过程.     

一类依赖于比率的Holling-Tanner捕食模型的定性分析

考虑了依赖于比率的响应函数的Holling-Tanner捕食模型,给出了解的耗散性和持续性,并给出了正平衡解(u*,v*)的全局稳定性,然后利用带ε的Young不等式和Poincaré不等式对扩散项进行了讨论,给出了在扩散系数足够大的情况下非常数正解的不存在性.     

充液挠性航天器俯仰运动非线性动力学分析

考虑了带弹性帆板与液体燃料的航天器做俯仰运动时刚-液-弹之间的相互耦合作用,采用已推导的刚-液-弹耦合系统非线性动力学方程组,应用多尺度法对耦合系统液体一阶主共振的非线性动力学特性进行解析分析,发现了幅频曲线软、硬特性随液深发生转换的现象,发生转换时的临界液深值大小与液体燃料在航天器中的位置、航天器与弹性帆板的转动惯量相对于液体燃料密度的比值均有关,并通过与数值模拟比较,验证了解析分析的正确性。     

基于同义词词林的中文文本主题词提取

中文文本主题词的提取可以浓缩一篇文章,可以提炼一个中文网页,还可以帮助实现网上广告与网页的精确匹配。提出了一种基于同义词词林的中文文本主题词提取方法,不仅考虑了传统的影响主题词语权重的因素,还考虑到了同义词、相关词以及下位词的出现对于词语权重的影响。实验表明,用该方法对中文文本     

Mutations in genes encoding melanosomal proteins cause pigmentary glaucoma in DBA/2J mice.

Pigmentary glaucoma is a significant cause of human blindness. Abnormally liberated iris pigment and cell debris enter the ocular drainage structures, leading to increased intraocular pressure (IOP) and glaucoma. DBA/2J (D2) mice develop a form of pigmentary glaucoma involving iris pigment dispersion (IPD) and iris stromal atrophy (ISA). Using high-resolution mapping techniques, sequencing and functional genetic tests, we show that IPD and ISA result from mutations in related genes encoding melanosomal proteins. IPD is caused by a premature stop codon mutation in the Gpnmb (GpnmbR150X) gene, as proved by the occurrence of IPD only in D2 mice that are homozygous with respect to GpnmbR150X; otherwise, similar D2 mice that are not homozygous for GpnmbR150X do not develop IPD. ISA is caused by the recessive Tyrp1b mutant allele and rescued by the transgenic introduction of wildtype Tyrp1. We hypothesize that IPD and ISA alter melanosomes, allowing toxic intermediates of pigment production to leak from melanosomes, causing iris disease and subsequent pigmentary glaucoma. This is supported by the rescue of IPD and ISA in D2 eyes with substantially decreased pigment production. These data indicate that pigment production and mutant melanosomal protein genes may contribute to human pigmentary glaucoma. The fact that hypopigmentation profoundly alleviates the D2 disease indicates that therapeutic strategies designed to decrease pigment production may be beneficial in human pigmentary glaucoma.     

Mass march of termites into the deadly trap.

Carnivorous pitcher plants of the genus Nepenthes are not usually very selective about their prey, catching anything that is careless enough to walk on their slippery peristome, but Nepenthes albomarginata is an exception. We show here that this plant uses a fringe of edible white hairs to lure and then trap its prey, which consists exclusively of termites in enormous numbers. This singular feature accounts for the specialization of N. albomarginata for one prey taxon, unique so far among carnivorous plants.     

Indicators of δ13C and δ18O of gas hydrate-associated sediments

The analyses of δ13C and δ18O of gas hydrate-associated sediments from two cores on Hydrate Ridge in Cascadia convergent margin offshore Oregon, eastern North Pacific show the values of d 13C from -29.81‰ to -48.28‰ (PDB) and d 18O from 2.56‰ to 4.28‰ (PDB), which could be plotted into a group called typical carbonate minerals influenced by the methane in cold venting. Moreover, the values of d 13C and d 18O show a consistent trend in both cores from top to bottom with increasing of d 13C and decreasing of d 18O. This trend could be explained as an effect caused by the anaerobic oxidation of methane (AOM) in depth and the oxygen fraction during the formation of gas hydrate in depth together. These characteristics of d 13C and d 18O indicate that the gas hydrate-associated sediments are significantly different from the normal marine carbonates, and they are deeply influenced by the formation and evolution of gas hydrate. So, the distinct characteristics of d 13C and d 18O of gas hydrate-associated sediments could be undoubtedly believed as one of parameters to determine the presence of gas hydrates in other unknown marine sediment cores.