标题:
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, 谭志中
关键字:
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2 × n-Rank Network; Equivalent Resistance; Complex Analysis; General Formulae; Oscillation; Chaotic
Characteristics
期刊名称:
《Modern Physics》, Vol.2 No.2, 2012-05-15
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.