时变参数动力系统的两种跟踪性质

在时变参数动力系统中引入链传递,伪轨跟踪以及渐进伪轨跟踪的概念,并通过这些概念讨论时变参数动力系统的伪轨跟踪和渐进伪轨跟踪的性质.证明了扩张的时变参数动力系统满足伪轨跟踪性质蕴含其满足渐近伪轨跟踪性质;论证了时变参数动力系统的积系统满足伪轨跟踪和渐进伪轨跟踪性质的充要条件是其每一个分系统也满足相应的性质.最后构造出了一个时变参数动力系统的例子:(∑∞X,F),证明了(∑∞X,F)是拓扑传递的,并且满足渐近伪轨跟踪性质.     

高速摄影法测量弹丸的破片速度

本文介绍高速摄影法测量弹丸破片飞散速度的几种方法,着重讨论了直接摄影法,它能显示破片在距起爆弹丸较近距离上的防影图象,经数据处理,可获得诸破片速度大小的分布值,还可望求得同一破片在其飞行轨迹上的速度衰减量。     

正交晶系单晶标准透射电子衍射斑点图及绘制原理

分析透射电子衍射斑点图对于研究晶体结构十分重要,常通过对比法来分析衍射斑点图.本文介绍了单晶标准透射电子衍射斑点图的绘制原理,并绘制了正交晶系的标准衍射斑点图.完善了单晶标准衍射斑点图数据,为科研工作者提供了便利.     

Stable and oscillating solitons of $$\pmb {\mathcal {PT}}$$ -symmetric couplers with gain and loss in fractional dimension

Nonlinear Dynamics - Families of coupled solitons of $$\mathcal {PT}$$ -symmetric physical models with gain and loss in fractional dimension and in settings with and without cross-interactions...     

Complicated asymptotic behavior of solutions for porous medium equation in unbounded space

In this paper, we find that the unbounded spaces $Y_{\sigma }({\mathbb{R}}^N)$$(0<\sigma <\frac{2}{m?1})$ can provide the work spaces where complicated asymptotic behavior appears in the solutions of the Cauchy problem of the porous medium equation. To overcome the difficulties caused by the nonlinearity of the equation and the unbounded solutions, we establish the propagation estimates, the growth estimates and the weighted $L^1$–$L^{\infty }$ estimates for the solutions.     

Complexity of asymptotic behavior of solutions for the porous medium equation with absorption

In this paper we analyze the large time behavior of nonnegative solutions of the Cauchy problem of the porous medium equation with absorption u t-u m + γup = 0, where γ≥ 0, m 1 and p m + 2/N . We will show that if γ = 0 and 0 μ 2N/(N(m-1)+2), or γ 0 and 1/(p-1)μ2N/(N(m-1)+2), then for any nonnegative function φ in a nonnegative countable subset F of the Schwartz space S (R N ), there exists an initial-value u0 ∈C(RN) with lim x →∞ u 0 (x) = 0 such that φ is an ω-limit point of the rescaled solutions t μ/2 u(t β·, t), where β =[2-μ(m-1)]/4 .     

粘接剂和牙本质相互作用机理的傅里叶变换拉曼光谱研究

粘接剂和牙本质之间的相互作用机理,存在机械作用学说和机械化学联合作用学说。本实验运用傅里叶变换拉曼光谱(FT-Ram an),对粘接剂和牙本质的机械化学联合作用机理进行进一步的研究。两类粘接系统共5种粘接剂,分别作用在牙本质表面,然后选用合适的溶剂对经粘接剂作用后的牙本质进行洗涤和浸泡,以便尽量除去物理吸附在牙本质表面的粘接剂。从残留在牙本质表面上粘接剂的光谱变化,观察粘接剂和牙本质相互作用的程度。运用FT-Ram an仪记录从未经任何处理的原始牙本质到最后经过洗涤、浸泡后的各个不同阶段的牙本质的光谱。用经过浸泡后牙本质的FT-Ram an光谱减去原始牙本质的拉曼光谱,得到差减拉曼光谱,并且与原始粘接剂的光谱进行对照,探讨牙本质粘接剂与牙本质表面相互作用机理。实验结果表明:粘接剂与牙本质之间有氢键作用存在。     

Global dissipativity of a class of BAM neural networks with time-varying and unbound delays

In this paper, we study the global dissipativity of a class of BAM neural networks with both time-varying and unbound delays. Based on Lyapunov functions and inequality techniques, several algebraic criteria for the global dissipativity are obtained. And the linear matrix inequality (LMI) approach is exploited to establish sufficient easy-to-test conditions which are related to the derivative of delay for the global dissipativity. Meanwhile, the estimations of the positive invariant set, globally attractive set and globally exponential attractive set are given out. Finally, two examples are presented and analyzed to demonstrate our results.     

Investigation of the Effect of Metallic Lewis Acid on the Nitrolysis of [3,7-Diacetyl-1,3,5,7-tetraazabicyclo(3.3.1)-nonane] and Hexamine

The effect of metallic ions on the nitrolysis of DAPT [3,7‐diacetyl‐1,3,5,7‐tetraazabicyclo(3.3.1)nonane] and HA (hexamine) was investigated by experimental and theoretical approaches. The combinatorial reagent, M(NO^?₃)_n/Ac₂/NH₄NO₃ (M=Mg²⁺, Cu²⁺, Pb²⁺, Bi³⁺, Fe³⁺ and Zr⁴⁺), was found to be efficient in the experiment of the nitrolysis of DAPT. A key intermediate during the nitrolysis of DAPT was detected by ¹H NMR. The formation mechanism of the intermediate was proposed and analyzed. Some discrepant results for the nitrolysis of DAPT and HA catalyzed by different metallic nitrates were explained based on hard‐soft and acid‐base principle and stabilized energy of ion‐complex. From the latter point of view, some cations with high polarizable ligands, e.g., OSO₂CF₃^?, (CF₃SO₂)₂N^?, and (C₄F₉SO₂)₂N^?, can increase the yields. Two newly designed catalysts, Cu[(CF₃SO₂)₂N]₂ and Cu[(C₄F₉SO₂)₂N]₂, were tested to be highly efficient.     

Rapid extra-/intracellular biosynthesis of gold nanoparticles by the fungus <Emphasis Type="Italic">Penicillium</Emphasis> sp.

In this work, the fungus Penicillium was used for rapid extra-/intracellular biosynthesis of gold nanoparticles. AuCl₄ ⁻ ions reacted with the cell filtrate of Penicillium sp. resulting in extracellular biosynthesis of gold nanoparticles within 1 min. Intracellular biosynthesis of gold nanoparticles was obtained by incubating AuCl₄ ⁻ solution with fungal biomass for 8 h. The gold nanoparticles were characterized by means of visual observation, UV–Vis absorption spectroscopy, X-ray diffraction (XRD), transmission electron microscopy (TEM), scanning electron microscopy (SEM), and energy-dispersive X-ray spectroscopy (EDX). The extracellular nanoparticles exhibited maximum absorbance at 545 nm in UV–Vis spectroscopy. The XRD spectrum showed Bragg reflections corresponding to the gold nanocrystals. TEM exhibited the formed spherical gold nanoparticles in the size range from 30 to 50 nm with an average size of 45 nm. SEM and TEM revealed that the intracellular gold nanoparticles were well dispersed on the cell wall and within the cell, and they are mostly spherical in shape with an average diameter of 50 nm. The presence of gold was confirmed by EDX analysis.