Chaos control and synchronization for a special generalized Lorenz canonical system – The SM system

This paper presents some simple feedback control laws to study global stabilization and global synchronization for a special chaotic system described in the generalized Lorenz canonical form (GLCF) when τ = −1 (which, for convenience, we call Shimizu–Morioka system, or simply SM system). For an arbitrarily given equilibrium point, a simple feedback controller is designed to globally, exponentially stabilize the system, and reach globally exponent synchronization for two such systems. Based on the system’s coefficients and the structure of the system, simple feedback control laws and corresponding Lyapunov functions are constructed. Because all conditions are obtained explicitly in terms of algebraic expressions, they are easy to be implemented and applied to real problems. Numerical simulation results are presented to verify the theoretical predictions.     

薄片炸药与固体靶冲量耦合的计算模型

薄片炸药可用于模拟强脉冲X射线辐照下空间结构的响应,其与固体靶的冲量耦合作用是进行模拟载荷设计的基础。本文中基于有限元模拟技术,研究不同直径薄片炸药的边界稀疏作用和安装支座的反射作用对薄片炸药与固体靶冲量耦合的影响,结果表明:边界稀疏作用对薄片炸药的比冲量起到减弱的作用,由边界稀疏作用引起的薄片炸药比冲量的变化量和薄片炸药直径的倒数近似成线性关系;薄片炸药安装支座的反射作用对薄片炸药的比冲量起到增强的作用,由支座反射作用引起的薄片炸药比冲量的变化量和薄片炸药直径的平方近似成反比;随着薄片炸药直径的增加,薄片炸药比冲量趋于定值,边界稀疏作用和支座反射作用可以忽略;存在一个临界直径,当薄片炸药的直径为临界直径时,薄片炸药的边界稀疏作用和支座反射作用达到平衡,其比冲量大小和薄片炸药的直径为无穷大时的比冲量值相等。     

Regularity Criteria of the 3D Boussinesq Equations in the Morrey-Campanato Space

In this paper, we consider the three-dimensional (3D) incompressible Boussinesq equations. We obtain some regularity criteria for the three-dimensional (3D) Boussinesq equations in the Morrey-Campanato space.     

Global well‐posedness of the compressible Euler with damping in Besov spaces

In this paper, we consider the Cauchy problems for compressible Euler equations with damping. In terms of the Littlewood–Paley decomposition and Bony's para‐product formula, we prove the global existence, uniqueness and asymptotic behavior of the solution in the critical Besov space comparing with previous results. Copyright © 2012 John Wiley & Sons, Ltd.     

One-pot, solvothermal synthesis of TiO(2)-graphene composite nanosheets

In this article, we propose a facile one-pot solvothermal route for synthesizing TiO(2)-graphene composite nanosheets (TGCN). In the system, ethylene glycol not only as a reducing agent can convert graphene oxide to reduced graphene oxide nanosheets, but also is employed to control the hydrolysis and condensation rates of tetrabutoxytitanium. The obtained TGCN hybrid materials are characterized by atomic force microscopy, transmission electron microscopy, UV-vis spectroscopy, Raman spectroscopy, X-ray photo-electron spectroscopy, X-ray diffraction, and thermal gravimetric analysis. It is found that the quantity of H(2)O used in the reaction is the key to obtain high-quality product. The photocatalytic activities of the products are evaluated using the photocatalytic degradation of methylene blue (MB) as a probe reaction. The results showed that the obtained TGCN have an enhanced adsorption capacity and remarkable improvements in the photodegradation rate of MB under visible light compared to P25.     

壳层厚度对骨架Fe@HZSM-5核壳催化剂费托合成催化性能的影响

在不同的水热合成时间下,以铁铝合金为铁源和铝源,四丙基氢氧化铵为分子筛的模板剂和抽提合金中的铝的碱,一步制得了以骨架铁为核、不同厚度的HZSM-5分子筛为壳的Raney Fe@HZSM-5催化剂.采用元素分析、氮物理吸附、X射线粉末衍射、氨脱附、扫描电子显微镜等手段,考察了水热时间对催化剂基本物化性质的影响.随着水热时...     

Stability and robustness of quasi-linear impulsive hybrid systems

Both hybrid dynamical systems and impulsive dynamical systems are studied extensively in the literature. However, impulsive hybrid systems are not yet well studied. Nonetheless, many physical systems exhibit both system switching and impulsive jump phenomena. This paper investigates stability and robust stability of a class of quasi-linear impulsive hybrid systems by using the methods of Lyapunov functions and Riccati inequalities. Sufficient conditions for stability and robust stability of those systems are established. Some examples are given to illustrate the applicability of our results.     

局域强组态相互作用对类氖离子AlⅣ－TiⅩⅢ2s~22p~55f能级结构及跃迁的影响

用相对论组态相互作用方法，分析了类氖离子ＡｌⅣ－ＴｉⅩⅢ偶宇称态２ｓ２ｐ６３ｌ与２ｓ２２ｐ５５ｌ之间的组态相互作用及其对２ｓ２２ｐ５５ｆ能级结构及跃迁的影响；给出了无实验结果的２ｐ５５ｆ能级值和较强２ｓ２２ｐ５５ｆ－２ｓ２２ｐ５４ｄ、２ｓ２２ｐ５５ｆ－２ｓ２２ｐ５５ｄ跃迁的波长及根子强度     

Structural identification of mouse urinary metabolites of pterostilbene using liquid chromatography/tandem mass spectrometry

Pterostilbene, the dimethoxy derivative of resveratrol, has drawn much attention recently due to its potential beneficial health effects. The metabolic fate of pterostilbene, however, is not well understood. In the present study, we identified nine novel mouse urinary pterostilbene metabolites, pterostilbene glucuronide, pterostilbene sulfate, mono‐demethylated pterostilbene glucuronide, mono‐demethylated pterostilbene sulfate, mono‐hydroxylated pterostilbene, mono‐hydroxylated pterostilbene glucuronide, mono‐hydroxylated pterostilbene sulfate, and mono‐hydroxylated pterostilbene glucuronide sulfate, using liquid chromatography/atmospheric pressure chemical ionization and electrospray ionization tandem mass spectrometry. The structures of these metabolites were confirmed by analyzing the MSⁿ (n = 1–3) spectra. To our knowledge, this is the first report of the identification of urinary metabolites of pterostilbene in mice. Copyright © 2010 John Wiley & Sons, Ltd.     

基于热解ZIF-8的氮掺杂碳电化学氧还原合成过氧化氢催化剂

氧气的两电子还原反应(2e-ORR)是绿色、安全的H₂O₂合成路线. 本工作以Zn²⁺和2-甲基咪唑合成的沸石型咪唑酸框架-8 (ZIF-8)为前驱体, 通过高温热解炭化, 利用ZIF-8中的锌在高温下的可挥发性, 制备了非金属氮掺杂石墨化多孔碳材料(p-ZIF), 系统考察了ZIF-8热解炭化温度(900、950和1000 ℃)对催化剂结构和2e-ORR催化性能的影响. p-ZIF不仅保留了ZIF-8规整的菱形十二面体形貌, 而且氮含量高, 拥有高的比表面积和多级孔结构. 在酸性条件下的2e-ORR反应中, 三个p-ZIF催化剂均显示了较低的过电位和较低的Tafel斜率, 而且稳定性良好. 其中在H₂O₂选择性最高的p-ZIF-950催化剂上, 过电位为86 mV, H₂O₂选择性最高可达89.2%. 在6 h恒电位反应中, p-ZIF-950催化剂能够以87 mmol•g_cat^-1•h^-1的恒定速率产生H₂O₂. 根据多种表征结果, 推测p-ZIF催化剂的孔径尺寸和石墨N含量是影响其2e-ORR催化性能的主要因素.