On the limit cycles of a quintic planar vector field

This paper concerns the number and distributions of limit cycles in a Z_2-equivariant quintic planar vector field.25 limit cycles are found in this special planar polynomial system and four different configurations of these limit cycles are also given by using the methods of the bifurcation theory and the qualitative analysis of the differential equation.It can be concluded that H(5)≥25=5~2, where H(5)is the Hilbert number for quintic polynomial systems.The results obtained are useful to study the weakened 16th Hilbert problem.     

Asymptotic behavior of solutions for a class of predator-prey reaction-diffusion systems with time delays

The aim of this paper is to investigate the asymptotic behavior of solutions for a class of three-species predator-prey reaction-diffusion systems with time delays under homogeneous Neumann boundary condition. Some simple and easily verifiable conditions are given to the rate constants of the reaction functions to ensure the convergence of the time-dependent solution to a constant steady-state solution. The conditions for the convergence are independent of diffusion coefficients and time delays, and the conclusions are directly applicable to the corresponding parabolic-ordinary differential system and to the corresponding system without time delays.     

Initial value problem for first-order integro-differential equation of Volterra type on time scales

In this paper, we combine the monotone iterative technique with fixed point theory to investigate the extremal solutions of nonlinear integro-differential equations on time scales. Several important lemmas and existence criteria are obtained.     

Pullback attractors for a non-autonomous incompressible non-Newtonian fluid

This paper studies the pullback asymptotic behavior of solutions for a non-autonomous incompressible non-Newtonian fluid in two-dimensional (2D) bounded domains. We first prove the existence of pullback attractors AV in space V (has H²-regularity, see notation in Section 2) and AH in space H (has L²-regularity) for the cocycle corresponding to the solutions of the fluid. Then we verify the regularity of the pullback attractors by showing AV=AH, which implies the pullback asymptotic smoothing effect of the fluid in the sense that the solutions become eventually more regular than the initial data.     

SCN——BrO3——H+体系的非线性动力学行为

＄酸盐驱动的振荡器，特别是Belousov－Zhabotinskii反应［‘1及其变种是研究得最为广泛、最为透彻的均相化学振荡反应．但两组份非催化的漠酸盐振荡器还只是近年来才发现开始研究的·含硫化合物如SC（NH。）。，SO3－，SCN一等非催化滇酸盐振荡器的非线性行为逐渐成为研究热点     

穿过液膜的自发电势振荡

An artificial membrane consisting of pricramic acid in nitrobenzene was used as an oil phase imposed between two aqueous phases. The right one contained trimethyl-slearylammonium chloride and aicohol; and the left contained sucrose solution (or H_2O). We found that this system exhibited rhythmic oscillation of electrical potential. The amplitude of the oscillations was between 20—150 mV. The oscillations were observed even when ethyl alcohol was absent in the aqueous of trimethylslearylammonium Chloride, and the increase in amplitude of oscillation with time was found to be less in the presence of sucrose. Some of the expremental results have been explained.     

维生素E的不对称合成

系统地综述了维生素E的合成方法, 旨在为进行维生素E及其相关萜类化合物合成的研究人员提供参考.     

Synthesis of multi-hydroxyl and sulfonyl dual-functionalized room temperature ionic liquids

Starting from the hydroxylamine (dimethyl amino ethanol, triethanolamine) and 1,3-propane sultone, a series of hydroxyl and sulfonyl dual-functionalized zwitterionic salts and corresponding acidic room temperature ionic liquids have been synthesized. The hydroxyl groups of the synthesized substances were confirmed by the 1H NMR measurement. These zwitterionic salts and ionic liquids may be used for synthesizing other functionalized ionic liquids or ionic liquid-polymer (polyelectrolyte).     

基于脱乙酰基魔芋葡甘聚糖固定酶的葡萄糖传感器

制备了脱乙酰基魔芋葡甘聚糖(d-KGM)的溶胶-凝胶,用红外光谱表征了其脱乙酰基前后的结构转化.探讨了d-KGM溶胶-凝胶的制备条件对其成膜性能及酶固定化的影响.在此基础上将d-KGM用于电极表面葡萄糖氧化酶的固定,制备了相应的葡萄糖传感器,并对传感器的工作条件进行了优化.所制备的传感器灵敏度为240 nA/mmol/L,线性范围为0.1～8 mmol/L,表观米氏常数KM为19.6 mmol/L,稳定性好,寿命长.实验结果表明d-KGM是一种可用于生物传感器中酶固定化的优良材料.     

纳米稀土谷氨酸咪唑三元配合物的合成、表征及抗菌活性研究

合成了6种新型纳米稀土三元配合物。通过元素分析、摩尔电导、红外光谱、紫外光谱、氢谱、碳谱、热重-差热等表征,确定了该类配合物的化学组成为：RE（Glu）3ImCl3·3H2O（RE=La^3＋,Nd^3＋,Er^3＋,Eu^3＋,Y^3＋,Gd^3＋;Glu=L-谷氨酸;Im=咪唑）,TEM电镜测试表明其有一定规则形貌,粒径在30-60 nm。通过抗菌实验对其抑菌效果进行研究,结果表明：6种纳米稀土三元配合物对大肠杆菌、金黄色葡萄球菌和白色念珠菌均有较强的抑制作用（最小抑菌浓度MIC分别约为140,100,250μg·ml^-1）,属于广谱抗菌剂;抗菌效果明显优于非纳米稀土三元配合物、稀土氯化物、L-谷氨酸或咪唑。