Novel delay-distribution-dependent stability analysis for continuous-time recurrent neural networks with stochastic delay

<正>In this paper,the problem of delay-distribution-dependent stability is investigated for continuous-time recurrent neural networks(CRNNs) with stochastic delay.Different from the common assumptions on time delays,it is assumed that the probability distribution of the delay taking values in some intervals is known a priori.By making full use of the information concerning the probability distribution of the delay and by using a tighter bounding technique(the reciprocally convex combination method),less conservative asymptotic mean-square stable sufficient conditions are derived in terms of linear matrix inequalities(LMIs).Two numerical examples show that our results are better than the existing ones.     

石菖蒲净化富营养化水体的研究

在石菖蒲克藻研究的基础上,在室内进行模拟试验,从青山湖排污口取污水置于培养缸中,培养石菖蒲。在培养前后定期进行水质成分分析,测试氯化物,有机耗氧量（ＣＯＤ）、生化需氧量（ＢＯＤ５）,溶解氧（ＤＯ）,铵氮和总磷的变化,植株总氮,总磷的变化,再分析石菖蒲对污水的净化效果,发现氯化物、ＣＯＤ、ＢＯＤ５和铵氮呈下降趋势,幅度均较大;ＤＯ则呈上升趋势,通过本试验发现水体总氮去除率达８７．４％,总磷去除率达４     

巧构造等差数列 妙解非数列问题

有些数学问题,乍看上去,与数列没有丝毫联系,但仔细研究其结构特征后,又可通过构造基本数列模型使问题巧妙获解,本文略谈构造等差数列解决几类常见的非数列问题,供参考.     

湍流大气中斜程传输部分相干光的光束扩展

运用维格纳分布函数与广义惠更斯菲涅耳原理,推导出部分相干光束在任意折射率起伏功率谱模型的大气湍流中斜程传输时,其束宽传输的一般解析表达式。在此基础上,以部分相干平顶(PCFT)光束为例,给出了PCFT光束在大气湍流中斜程传输的束宽扩展解析表达式。在合肥地区大气折射率结构常数高度分布模式下开展了数值计算和分析,并与水平传输时的结果进行了比较。研究结果表明,光束在斜程传输时的束宽不仅与光束阶数、空间相干度、束腰半径、湍流的强弱和传输距离有关,还与天顶角密切相关。光束的阶数越高,空间相干性越差,天顶角越小,则其束宽扩展受湍流的影响就越小。当天顶角小于60°时,大气湍流对斜程传输光束束宽的影响明显小于水平传输的情况。     

纯锆上离子注入钇和镧后的表面分析

用金属蒸汽真空弧源，以40kV加速电压对纯锆样品分别进行了10¹⁶—10¹⁷/cm²的钇、镧离子注入，注入温度约为130℃.然后对注入样品进行表面分析.x射线光电子能谱分析表明，注入的钇以Y₂O₃形式存在，镧以La₂O₃形式存在.俄歇电子能谱表明，纯锆基体表面的氧化膜厚度随着离子注入剂量的增加而增加，当离子注入剂量达到10¹⁷/cm²时，氧化膜的厚度达到了最大值.卢瑟福背散射显示镧层的厚度约为30nm，同时直接观察到当离子注入剂量为(La+Y)10¹⁷/cm²时，纯锆样品表面发生了严重的溅射. 关键词： 纯锆 钇和镧离子共注入 卢瑟福背散射 x射线光电子能谱     

46.8MeV的 ~(12)C非弹性散射

在Glauber多重散射理论框架下,使用跃迁密度方法和三种N-N湮没势,计算了46·8MeV的反质子在~(12)C上的非弹性散射微分截面.理论曲线与实验数据符合得较好.     

A new three-dimensional chaotic system and its modified generalized projective synchronization

Based on the Chen chaotic system,this paper constructs a new three-dimensional chaotic system with higher order nonlinear term and studies the basic dynamic behaviours of the system. The modified generalized projective synchronization has been observed in the coupled new three-dimensional chaotic system with unknown parameters. Furthermore,based on Lyapunov stability theory,it obtains the control laws and adaptive laws of parameters to make modified generalized projective synchronization of the coupled new three-dimensional chaotic systems. Numerical simulation results are presented to illustrate the effectiveness of this method.     

Study of diphoton decays of the lightest scalar Higgs boson in the Next-to-Minimal Supersymmetric Standard Model

The CMS and ATLAS experiments at the LHC have announced the discovery of a Higgs boson with mass at approximately 125 GeV/c² in the search for the Standard Model Higgs boson via, notably, the γγ and ZZ to four leptons final states. Considering the recent results of the Higgs boson searches from the LHC, we study the lightest scalar Higgs boson h₁ in the Next-to-Minimal Supersymmetric Standard Model by restricting the next-to-lightest scalar Higgs boson h₂ to be the observed to the 125 GeV/c² state. We perform a scan over the relevant NMSSM parameter space that is favoured by low fine-tuning considerations. Moreover, we also take the experimental constraints from direct searches, B-physics observables, relic density, and anomalous magnetic moment of the muon measurements, as well as the theoretical considerations, into account in our specific scan. We find that the signal rate in the two-photon final state for the NMSSM Higgs boson h₁ with the mass range from about 80 GeV/c² to about 122 GeV/c² can be enhanced by a factor of up to 3.5 when the Higgs boson h₂ is required to be compatible with the excess from latest LHC results. This motivates the extension of the search at the LHC for the Higgs boson h₁ in the diphoton final state down to masses of 80 GeV/c², particularly with the upcoming proton-proton collision data to be taken at center-of-mass energies of 13-14 TeV.     

Xe~(26+)入射Au靶离子L壳层空穴的产生与退激辐射

基于两体碰撞过程的能量与角动量守恒,推导出Xe26+离子与Au原子碰撞过程,单离子的L壳层空穴产额与离子动能的理论关系.实验测定了动能2.4-3.6Me V的Xe26+离子入射Au靶,产生的Xe的L-X射线谱,获得了射线产额与离子入射动能的实验关系.结果表明,碰撞过程产生Xe L壳层空穴的同时,产生了一定数目的 M壳层空穴,导致L壳层空穴平均荧光产额显著变大,在实验能量范围,空穴产额的理论值与射线产额的实验值存在较好的一致性.     

外场形式对超冷原子-多聚物分子转化效率的影响

通过改变激光场Rabi频率和原子-多聚物分子耦合强度, 探索了外场形式对超冷原子-多聚物分子转化效率的影响. 首先通过定义时间指数, 对文献所给出的外场做出改进, 讨论了时间指数对转化效率的影响; 然后选取一种更优化的外场形式, 其具有很好的参数鲁棒性, 该外场作用下的绝热过程几乎不存在振荡, 其绝热保真度接近于1, 系统误差较小, 可以稳定、高效地实现超冷原子-多聚物分子的转化. 关键词： 超冷多聚物分子 转化效率 外场形式 绝热保真度