A new modified nodal analysis for nano-scale memristor circuit simulation

It is unclear how to include the newly discovered memristor together with traditional electronic devices into a circuit simulator such as SPICE. To perform a fast prototyping of circuits composed of memristors at nano-scale, this paper introduces a new modified nodal analysis (MNA) to include this fourth circuit element into a first-order differential-algebra-equation (DAE). In the new MNA, magnetic flux is employed as the state variable for a flux-controlled memristor, called memductor. The new MNA is implemented in a circuit simulator to efficiently provide time-domain transient simulations for a number of nano-scale memristor-based circuits.