图象拓扑下的Ky Fan引理解集的本质连通区及其在对策论上的应用

本文在集值映射的图象拓扑意义下,证明了赋范线性空间中的Ky Fan引理的解集的本质连通区的存在性,由此得到一类对策的Nash平衡点集的本质连通区的存在性.     

Novel Woods-Saxon stochastic resonance system for weak signal detection

We propose a joint exponential function and Woods–Saxon stochastic resonance(EWSSR)model.Because change of a single parameter in the classical stochastic resonance model may cause a great change in the shape of the potential function,it is difficult to obtain the optimal output signal-to-noise ratio by adjusting one parameter.In the novel system,the influence of different parameters on the shape of the potential function has its own emphasis,making it easier for us to adjust the shape of the potential function.The system can obtain different widths of the potential well or barrier height by adjusting one of these parameters,so that the system can match different types of input signals adaptively.By adjusting the system parameters,the potential function model can be transformed between the bistable model and the monostable model.The potential function of EWSSR has richer shapes and geometric characteristics.The effects of parameters,such as the height of the barrier and the width of the potential well,on SNR are studied,and a set of relatively optimal parameters are determined.Moreover,the EWSSR model is compared with other classical stochastic resonance models.Numerical experiments show that the proposed EWSSR model has higher SNR and better noise immunity than other classical stochastic resonance models.Simultaneously,the EWSSR model is applied to the detection of actual bearing fault signals,and the detection effect is also superior to other models.     

Stability of traveling waves in a population dynamic model with delay and quiescent stage

This article is concerned with a population dynamic model with delay and quiescent stage. By using the weighted-energy method combining continuation method, the exponential stability of traveling waves of the model under non-quasi-monotonicity conditions is established. Particularly, the requirement for initial perturbation is weaker and it is uniformly bounded only at x = +∞ but may not be vanishing.     

一种新型光致发光自愈合水凝胶的合成

采用自由基聚合法制备了具有光致发光特性的自愈合水凝胶, 解决了光致发光配合物在水相荧光猝灭的问题. 通过分子设计, 利用共价键将油溶性的含Eu稀土配合物引进水凝胶体系中, 发现该配合物在水凝胶体系中稳定存在, 不扩散. 含Eu稀土配合物具有紫外光致发光的特性, 赋予该水凝胶良好的可识别性. 同时该水凝胶含有动态硼酸酯键, 其快速愈合的特性使该水凝胶在受损后能短时间内修复损伤, 为制备可发光水凝胶和可识别生物医用材料提供了新的思路.     

风险资产交易市场中两个信号下的内部交易

在风险资产交易市场中,做市商除了收到交易总量信号外,往往还能观测到清算价值的部分信号.在满足条件利润最大化和市场有效性定价假设下,本文研究了这两个信号影响下的内部交易市场特征.研究发现,内部交易者释放了大量私有信息,而期望利润、交易策略系数和市场流动性系数为常值.     

关于无限对策Nash平衡点集的本质连通区

证明了任意纯策略集是紧度量空间和支付函数连续的n人无限非合作对策存在 Nash平衡点集的本质连通区．