Title :
Transfinite resistive networks
Author_Institution :
State Univ. of New York, Stony Brook, NY, USA
Abstract :
Transfinite electrical networks are infinite networks in which some of the nodes are connected by infinite paths but not by finite ones. Such networks arise naturally as certain transitional cases between lumped and distributed networks, but to date neither a definition nor a fundamental theory existed for them. The structure of such networks is explicated, and some foundational theorems for the existence of unique voltage-current regimes in resistive infinite networks are stated
Keywords :
equivalent circuits; linear network analysis; circuit theory; current analysis; distributed networks; electrical networks; equivalent circuits; foundational theorems; lumped network; resistive infinite networks; transfinite graph; transfinite resistive networks; unique voltage-current regimes; voltage analysis; Anisotropic magnetoresistance; Circuits; H infinity control; Petroleum; Radio access networks; Spirals; Telephony; Voltage;
Conference_Titel :
Circuits and Systems, 1990., IEEE International Symposium on
Conference_Location :
New Orleans, LA
DOI :
10.1109/ISCAS.1990.111964
