磁浮轴承转子系统的稳定性研究

针对非线性磁浮轴承转子系统的具体特点，用数值积分和庞加莱映射方法对刚性磁浮轴承转子系统进行稳定性研究，得到了系统在某些参数域中的时域波形、频谱图、相图、轴心轨迹以及庞加莱映射图，并给出了系统产生混沌运动诱发失稳的参数域。为更好控制磁浮轴承转子系统运行状态提供理论参考。     

Pattern formation in Rayleigh-Bénard convection: Numerical simulation with a coupled-map-lattice model

The various patterns formed in Rayleigh-Bénard convection under different conditions are numerically simulated with a coupled-map-lattice model. In the case of a lower aspect ratio (L/d=5), the simulations vividly depicted the main features of the transition process from a laminar state to a soft turbulence and then to a hard turbulence. In this case, the cellular structure in a horizontal section is also reproduced. In the case of a larger aspect ratio (L/d=30), the simulations successfully reproduced the spiral-defect chaos and target chaos in the initial stage of the pattern evolution which were recently found in experiments. In this case, for a fluid ofPr=1, it is verified in simulations that both the ideal straight rolls and spiral-defect chaos are stable attractors in the same parameter regime, and that the initial condition is a decisive factor for which one of the two is formed. In the same case, for a fluid ofPr=4, the target patterns are dominant instead of the spirals, the sizes and distributions of the target are also notably dependent on the initial condition.     

Construction of a genetic map with SRAP markers and localization of the gene responsible for the first-flower-node trait in cucumber (Cucumis sativus L.)

With an F2 population from the cross of two cucumber inbred lines, S06 and S52, sequence-related amplified polymorphism (SRAP) was used to construct a genetic linkage map in cucumber (Cucumis sativus L.). Sixty-four SRAP primer combinations generated 108 polymorphic bands in the F2 population analysis. The average of polymorphic bands produced by one primer pair was 1.5, and the maximum was 5. Using Mapmaker 3.0, a linkage map was constructed, which consisted of 77 SRAP markers distributed in nine linkage groups (LOD≥3.0) and spanned 1114.2 cM with an average interval of 14.5 cM between markers. The gene for the first-flower-node trait, termed ffn, was mapped to linkage group Ⅸ, flanked by DC1EM5 and ME7EM2A at 10.3 cM and 12.1 cM distance, respectively.     

利用SPOT5数据制作正射影像图并辅助更新土地利用现状图的方法

对利用SPOT5卫星数据制作正射影像图的方法进行了研究，并以扬中市为例，对使用正射影像图辅助更新土地利用基础图件的可行性进行了探讨。研究发现此方法易于掌握，辅助更新效果显著。     

基于Logistic映射的图像保密通信

将Logistic映射产生的混沌序列作为载波，利用序列具有的良好相关特性，提出了一种图像保密通信方案。计算机仿真结果表明，只要收发双方使用相同的初值条件，即使在有一定噪声的情况下也能正确地进行图像传输，而初值的微小差异将导致通信失败，表明混沌序列用于保密通信具有很高的安全性能，同时方案具有很强的抗干扰能力。对图像恢复质量进行了评估，并给出了误比特率与码片长度的经验公式。     

数学美的追求对科学发展的推动作用

数学美的追求是数学不断发展的思想源泉,同时数学美思想也大大促进了其它科学的发展。通过数学家对美的追求及数学美的创造,阐述了数学美的追求对科学发展的推动作用。     

基于二维矢量地图自动构建DEM方法研究

针对城市三维GIS研究中涉及到的利用矢量地形图建立数字高程模型（digital elevation model-DEM)问题进行了研究与实验，提出一种基于高程控制点自动聚集、集合内邻近控制点协作来自动识别等高线高程的数据采集方法，并将该方法应用于三维GIS平台的开发，取得了较好的实验效果。     

王国维文学美学思想中的德国因素

王国维文学美学思想从德国哲学美学中汲取了丰厚的思想资源,他对德国哲学思想的接受既是必然的,也是偶然的;在阐明艺术与现实的关系,“真”、“美”的内涵时,王国维的文学美学观念所表现出来的德国美学因素非常明显。     

In-vehicle GPS/DR navigation system development and test results in Singapore

This paper introduces the in-car navigation system prototype development and test results under the context of Singapore. In the system, integrated GPS/DR is used for continuous vehicle positioning. A digital road network map database is built for the whole Singapore. The database is designed to support map matching, route determination, and route guidance functions. The prototype system demonstrates GPS positioning of the vehicle in real-time, tracking the vehicle onto a digital map with fix updates every one or two seconds.With the map matched vehicle location on the map, voice and/or text guidance is provide to the driver. The vehicle position can also be transferred to control centre through communication data link for the purpose of fleet management.     

李群G在流形M上左作用的相关性质

本通过李群G在流形M上左作用，构造了M上单参数可微变换群，证明了其诱导向量场与李代数g之间存在同态映射，且诱导向量场是—李代数。