单自由度干摩擦振子1∶4强共振时的N-S分岔

研究一个单自由度干摩擦系统的受迫振动行为．在1∶4共振条件下,根据平衡点附近级数形式的解建立系统的Poincaré映射．运用范式理论将映射简化成标准形式．结果显示,系统会发生NS(Neimark-Sacker)分岔．数值模拟验证了理论结果．     

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.     

Describing spatiotemporal couplings in ultrashort pulses using coupling coefficients

Three coupling coefficients are defined to describe spatiotemporal coupling in ultrashort pulses. With these coupling coefficients, the first-order spatiotemporal couplings of Gaussian pulse and beam are described analytically. Also, the first-order and the second-order spatiotemporal couplings caused by angular dispersion elements are studied using these coupling coefficients. It can be shown that these coupling coefficients are dimensionless and normalized, and readily indicate the severity of spatiotemporal coupling.     

AlN插入层对硅衬底GaN薄膜生长的影响

利用金属有机化合物气相外延沉积技术在2inch(5.08cm)Si(111)图形衬底上生长了GaN外延薄膜,在Al组分渐变AlGaN缓冲层与GaN成核层之间引入了AlN插入层,研究了AlN插入层对GaN薄膜生长的影响。结果表明,随着AlN插入层厚度的增加,GaN外延膜(002)面与(102)面X射线衍射摇摆曲线半峰全宽明显变小,晶体质量变好,同时外延膜在放置过程中所产生的裂纹密度逐渐减小直至不产生裂纹。原因在于AlN插入层的厚度对GaN成核层的生长模式有明显影响,较厚的AlN插入层使GaN成核层倾向于岛状生长,造成后续生长的nGaN外延膜具有更多的侧向外延成分,从而降低了GaN外延膜中的位错密度,减少了GaN外延膜中的残余张应力。同时还提出了一种利用荧光显微镜观察黄带发光形貌来表征GaN成核层形貌和生长模式的新方法。     

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.     

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     

基于HITRAN数据库的深海甲烷辐射光谱仿真研究

研发能够精确、实时、原位获取热液甲烷数据的深海甲烷传感器对深海研究具有非常重要的意义。前期研制的两款深海甲烷光学成像干涉系统,均利用甲烷辐射光谱开展甲烷状态参数探测和反演。首先,以分子光谱辐射理论为基础,建立了分子辐射光谱与浓度、温度、压强的理论关系式,结合深海高压环境特点,建立了基于Lorentz线型的深海分子辐射模型,该模型为利用光谱法定量反演分子浓度、温度、压强等状态参数提供理论依据,同时为深海分子光谱仿真提供有力工具。接着,借助HITRAN分子光谱数据库提供的分子基本谱线参数,挑选出甲烷成像干涉系统的光源谱线。对比CH₄分子与CO₂, H₂S, H₂O等分子的特征吸收谱线,在5 990～6 150 cm-1波段范围内,CH₄谱线强度比CO₂, H₂S, H₂O等三种干扰分子的谱线强度约高2～3个数量级,且此波段内甲烷六条有效谱线分布均匀,谱线间距皆约为2～3 nm,非常适合采用光谱法进行分子状态参数探测,因此选择谱线干扰较弱、谱线分布均匀、谱线间距适中的甲烷六条谱线(1 640.37, 1 642.91, 1 645.56, 1 648.23, 1 650.96和1 653.72 nm)作为甲烷成像干涉探测系统的目标光源谱线。最后,基于深海分子辐射模型和HITRAN数据库的甲烷分子基本谱线参数,人工合成了甲烷任意浓度,任意温度和任意压强的辐射光谱数据,并分析了甲烷辐射光谱随浓度、温度和压强的变化特征。对于单一中心谱线,甲烷分子辐亮度随着浓度的升高而线性增大,随着温度的升高而非线性增大,随着压强的升高而非线性减小。对于全波段谱线,甲烷辐射光谱的全线宽随着浓度、温度的升高而变宽,随着压强的升高而变窄。建立的深海甲烷辐射光谱理论和仿真分析结果,可以为基于光谱法的海洋原位甲烷传感器的研制和数据反演提供数据支撑和理论依据。     

玻色-爱因斯坦凝聚体中非线性相互作用对量子共振棘流的影响

研究了玻色-爱因斯坦凝聚体中非线性相互作用对量子共振棘流的影响．满足量子共振条件的周期驱动使得波包在动量空间出现弹道扩散,当波包扩散具有特定方向时,系统就出现定向的动量流．弱非线性相互作用下的冷原子分成两簇,它们分别受到方向相反的稳定周期驱动力,以各自恒定的加速度沿相反方向运动．波包在动量空间的扩散表现为两个稳定的沿相反方向运动的峰．非线性相互作用的增强使得正方向运动的冷原子减少,负方向运动的冷原子增加,从而系统的动量流减弱甚至反转．当非线性相互作用足够强时,动量空间中的波包只有一个稳定的峰,且峰值对应的动量不随时间变化．此时冷原子受的周期驱动力为零,定向的动量流消失．     

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。     

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.