Z 2-equivariant cubic system which yields 13 limit cycles

For the planar Z_2-equivariant cubic systems having two elementary focuses,the characterization of a bi-center problem and shortened expressions of the first six Lyapunov constants are completely solved.The necessary and sufficient conditions for the existence of the bi-center are obtained.On the basis of this work,in this paper,we show that under small Z_2-equivariant cubic perturbations,this cubic system has at least 13 limit cycles with the scheme 16∪6.     

基于视频图像测量的母线折弯技术研究

现有折弯机在母线的角度测量中一般采用光栅尺或编码器,针对这种接触式检测方法存在的局限性,提出了基于视频技术的角度检测方法,这种非接触式测量方法不仅使角度的检测更加方便,而且增加了折弯机机头机械设计的灵活性.分析了母线在进行边缘检测时角度存在跳动的原因,提出了一种通过抑制伪边缘的方法来控制检测角度的不稳定性.以铜、铝母线...     

Ionic conduction and dielectric relaxation in polycrystalline Na2SO4

In the present paper, the ionic conductivity and the dielectric relaxation properties of Na₂SO₄ have been investigated by means of impedance spectroscopy measurements over wide ranges of frequencies and temperatures. The frequency dependent impedance data has been modeled by appropriate equivalent circuit representing the bulk and grain boundary properties of the sample. Phase transition temperatures and the activation energies of conduction in different phases have been determined from the temperature dependence of the dc conductivity. Dielectric relaxation has been studied using the complex electric modulus and permittivity formalisms. From the electric modulus formalism it is concluded that the relaxation mechanism is independent of temperature. The dielectric permittivity spectra were analyzed by the Cole–Cole formula where different parameters are determined.     

Dynamical understanding of loop soliton solution for several nonlinear wave equations

It has been found that some nonlinear wave equations have one-loop soliton solutions. What is the dynamical behavior of the so-called one-loop soliton solution? To answer this question, the travelling wave solutions for four nonlinear wave equations are discussed. Exact explicit parametric representations of some special travelling wave solutions are given. The results of this paper show that a loop solution consists of three different breaking travelling wave solutions. It is not one real loop soliton travelling wave solution.     

微波辅助合成Ru(Ⅱ)配合物及其自组装多层膜

运用微波辅助合成技术制备得到对称性钌(Ⅱ)配合物,对该配合物进行了¹H NMR,ESI-MS和TG分析。该钌配合物两端对称的磷酸基团可通过共价键作用组装到纳米铟锡金属氧化物导电玻璃(Indium Tin Oxides,ITO)表面,使ITO表面呈现亲水性。利用锆离子作为桥梁成功组装了钌多层膜,并对该多层膜进行了循环伏安法(Cyclic Voltammetry,CV)及紫外-可见吸收光谱法(Ultraviolet-visible absorption spectrometry,UV-Vis)等光电化学分析,实验结果表明层层自组装过程中膜沉积均匀,在0.53V出现可逆的氧化还原峰,在300~600nm的紫外可见区域出现强且宽的吸收峰,表明该钌配合物具有优良的光电性能。     

银负载量对网状TiO_2柔性薄膜电极储锂性能的影响

采用水热法结合银镜反应制备出一系列不同Ag负载量(2.2%、4.0%、6.4%,w/w)改性的3D纳米网状结构Ag@Ti O2薄膜电极。利用电感耦合等离子体技术(ICP)、X射线衍射(XRD)、扫描电镜(SEM)、透射电镜(TEM)和X射线能谱(EDX)等表征手段测试所合成材料的形貌及成分,实验结果表明Ag纳米颗粒可以成功沉积在Ti O2纳米线表面。电化学测试数据则表明,4.0%(w/w)负载量的Ag@Ti O2相比于未改性和其他负载量的Ti O2纳米线具有更好的倍率性能和更稳定的可逆容量。在50,100,200,400,800和1 200 m A·g~(-1)的电流密度条件下,该改性电极的放电容量可分别达到261.4,253.7,239.5,216.5,193.1和185.1 m Ah·g~(-1),在200 m A·g~(-1)下循环80次后容量保持率仍能达到99.8%。     

离子液体添加剂[BMIM]HSO4对锌电积过程析氧反应动力学的影响

研究了1-丁基-3-甲基咪唑硫酸氢盐([BMIM]HSO₄)离子液体对锌电积过程析氧反应的影响. 研究工作借助于动电位极化, 电化学阻抗谱, 扫描电镜和X射线衍射等测试技术. 动电位极化曲线及对应的动力学参数分析表明, [BMIM]HSO₄对阳极析氧反应具有催化作用,可提高析氧反应速率常数. 电化学阻抗谱数据表明,[BMIM]HSO₄能显著降低阳极析氧电荷传递电阻,在所研究的1.85-2.10 V电位范围内添加5 mg·L^-1 [BMIM]HSO₄, 电阻值至少降低50%. 此外, 添加剂对阳极表面二次反应具有抑制作用, 其在阳极表面的吸附,阻碍了阴离子的阳极活化位点吸附过程. 电化学测试结果与长时间(120 h)阳极极化后所得阳极表面形貌和结晶取向分析结果相一致. [BMIM]HSO₄的添加能有效抑制中间产物β-PbO₂的形成,促进铅银电极表面大块且疏松多孔α-PbO₂的生成,加速阳极析氧的进行.     

增塑剂对PVA碱性聚合物电解质电化学性能的影响

通过溶解―铸膜法制备聚乙烯醇(PVA)-KOH-H2O碱性聚合物电解质膜。向聚合物中添加增塑剂丙三醇(GROL)和碳酸丙烯酯(PC)来提高离子电导率。X射线晶体衍射分析(XRD)结果表明,添加增塑剂未改变聚合物的物相结构,薄膜仍主要为不定形态。差示扫描热分析(DSC)结果显示,添加增塑剂后聚合物电解质膜的玻璃化转变温度降低,促进了电解质膜向不定形态转变。电解质膜室温离子电导率随增塑剂添加而增大,增塑剂超过一定量后离子电导率开始下降。PC对提高离子电导率的作用优于GROL。循环伏安测试结果显示,电解质膜的电化学稳定性窗口随增塑剂的添加而有所变窄,但仍显示了较好的电化学稳定性。     

Bifurcation analysis and control of chaos for a hybrid ratio-dependent three species food chain

In this paper, a hybrid ratio-dependent three species food chain model with time delay is studied by using the theory of functional differential equation and Hopf bifurcation, the condition on which positive equilibrium exists and the quality of Hopf bifurcation are given. Chaotic solutions are observed and are controlled by delay parameter. Finally, we indicate that when the delay passes through certain critical values, chaotic oscillation is converted into a stable state or a stable periodic orbit.     

Complete study on a bi-center problem for the <Emphasis Type="Italic">Z</Emphasis><Subscript>2</Subscript>-equivariant cubic vector fields

For the planar Z ₂-equivariant cubic systems having two elementary focuses, the characterization of a bi-center problem and shortened expressions of the first six Liapunov constants are completely discussed. The necessary and sufficient conditions for the existence of the bi-center are obtained. All possible first integrals are given. Under small Z ₂-equivariant cubic perturbations, the conclusion that there exist at most 12 small-amplitude limit cycles with the scheme 〈6 ∐ 6〉 is proved.