2×n阶LC网络等效复阻抗研究  

A General Study on Equivalent Resistance of 2 × n-Rank LC Network

作　　者：王德华[1] 谭志中[2] 

机构地区：[1]苏州卫生职业技术学院,苏州 [2]南通大学理学院,南通

出　　处：《现代物理》2012年第2期15-20,共6页Modern Physics

基　　金：南通大学自然科学基金(批准号:11Z054);南通大学教学研究基金(批准号:13050613)资助项目。

摘　　要：复阻抗网络等效复阻抗的研究通常比较复杂,本文基于已获得的2 ×n阶纯电阻网络等效电阻的普适规律,对2 ×n阶网络等效复阻抗进行了详细研究,根据等效电阻规律的复数分析,得到了2 ×n阶LC网络输入端等效复阻抗的一系列普适规律,获得了一些新的结论,研究发现在一定条件下等效复阻抗随阶数n变化而具有振荡特性和混沌特性。The research in equivalent resistance of resistance network is usually quite complex. Based on the acquired universal law of pure 2 ×n-rank equivalent resistance, a detailed study of the equivalent resistance of 2 ×n-rank has been made. The complex analysis on the basis of the equivalent resistance law provides a series of general formulae of input equivalent resistance in 2 ×n-rank LC network. A new conclusion has been reached: under certain conditions, the equivalent resistance has the feature of oscillation and chaotic with the change of variable n.

关 键 词：2×n阶网络 等效复阻抗 复数分析 普适规律 振荡特性 混沌特性 

分 类 号：O44[理学—电磁学]