Pulse Programming of Memristor Circuits
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we identify a wide class of memristor circuits, of any order and with any number of flux- or charge-controlled memristors, and introduce a systematic method for writing in an explicit way the SEs, both in the (φ, q) and in the (v, i)-domain. The conditions for the existence of the SEs for such class are easily checkable (usually by inspection), since they are couched in topological terms. The techniques overcome drawbacks of the analogous technique described in Chap. 5, that was able in general only to yield the SE formulation in implicit form.
The obtained SEs have a relatively simple mathematical structure and, in the autonomous case, under certain assumptions, a systematic method is introduced to identify and write analytically the invariant manifolds, to show the coexistence of different dynamics and to find the reduced-order dynamics on each invariant manifold.
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