摘要
提出了利用标准差和空间相关函数相组合来定量分析无穷维系统中时空行为空间相关性的方法。针对一类含无损传输线的二极管无穷维电磁系统,用行波理论推导出了左端点处电压反射波的Poincaré映射关系,建立了传输线沿线电压的离散模型。通过数值计算定性分析了系统中时空行为随参数变化的动态过程。利用方法定量分析了系统中时空行为的空间相关性,与定性分析结果一致。
A method for spatial correlations analysis of the spatiotemporal complexity is presented by a combi- nation of the average quadratic deviation and the spatial correlation function. Considering a type of diode infinite-di- mensional electromagnetic system with lossless transmission line, a Poincar6 map for the backward-traveling voltage wave at the left end was derived by applying the traveling wave theory, and the discrete-time map of the voltage at the left end was established. The dynamic process of the spatiotemporal behaviors in the system was analyzed through numerical simulation, as the parameter of the system is varied, Both the average quadratic deviation and the spatial correlation function to quantify the spatial correlations of the spatiotemporal behaviors in the system is used, results are consistent with the qualitative analysis.
出处
《科学技术与工程》
北大核心
2013年第19期5627-5631,5641,共6页
Science Technology and Engineering
基金
山西省自然科学基金项目(2010011024-2)资助
关键词
时空行为
空间相关性
离散映射
传输线
无穷维系统
spatiotemporal behaviors spatial correlations discrete-time map transmission line infinite-dimensional system
