Formulation of normal form equations of nonlinear networks containing memristors and coupled elements
- 1 November 1972
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuit Theory
- Vol. 19 (6) , 585-594
- https://doi.org/10.1109/TCT.1972.1083551
Abstract
This paper presents a variety of sufficient conditions for the existence of a set of normal form equations of a connected nonseparableRLCMnetwork, which may contain coupled elements. AnRLCMnetwork is defined as a network containing independent (but not necessarily time-independent) current and voltage sources, nonlinear time-invariant resistors, inductors, capacitors, and memristors. Via an example, this paper shows that the class of networks under consideration, in fact, includes networks containing multiterminal network elements and controlled sources.Keywords
This publication has 13 references indexed in Scilit:
- Trajectories of nonlinear RLC networks: A geometric approachIEEE Transactions on Circuit Theory, 1972
- Global homeomorphism of vector-valued functionsJournal of Mathematical Analysis and Applications, 1972
- Memristor-The missing circuit elementIEEE Transactions on Circuit Theory, 1971
- Nonlinear circuit theory: Resistive networksProceedings of the IEEE, 1971
- State-Variable Analysis of RLC Networks Containing Nonlinear Coupling ElementsIEEE Transactions on Circuit Theory, 1969
- Reversible Electrical Switching Phenomena in Disordered StructuresPhysical Review Letters, 1968
- Normal Form and Stability of a Class of Coupled Nonlinear NetworksIEEE Transactions on Circuit Theory, 1966
- Charge Control Transistor Model for the IBM Electronic Circuit Analysis ProgramIEEE Transactions on Circuit Theory, 1966
- On the Dynamic Equations of a Class of Nonlinear RLC NetworksIEEE Transactions on Circuit Theory, 1965
- The state-variable approach to network analysisProceedings of the IEEE, 1965