Xix . Circuit Theory

The general objective of this research is to extend our knowledge of the properties of electric networks, active or passive, reciprocal or nonreciprocal, linear or nonlinear. The topics that are being investigated are: (a) circuit models of linear nonreciprocal networks; (b) topological methods of analysis for linear nonreciprocal networks; (c) properties of RC networks that contain dynamically redundant elements; (d) applications of higher geometry to the general problem of impedance transformations; (e) circuit models of piecewise-linear traffic networks; (f) valuated algebras and their relationship to impedance networks and switching networks; and (g) general gainbandwidth considerations.