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A mathematical model of the prototype of mem-ristor, manufactured in 2008 in Hewlett-Packard Labs, is described in the paper. It is shown that the hitherto published approaches to the modeling of boundary conditions need not conform with the requirements for the behavior of a practical circuit element. The described SPICE model of the memristor is thus(More)
In the paper, an analysis of the state-of-the-art of active elements for analog signal processing is presented which support – in contrast to the conventional operational amplifiers – not only the voltage-mode but also the current-and mixed-mode operations. Several problems are addressed which are associated with the utilization of these elements in linear(More)
The paper refers to problems of modeling and computer simulation of generic memristors caused by the so-called window functions, namely the stick effect, non-convergence, and finding fundamentally incorrect solutions. A profoundly different modeling approach is proposed , which is mathematically equivalent to window-based modeling. However, due to its(More)
A method of analogue emulation of the memristor with its prescribed charge (q<inf>M</inf>) - flux (&#x03D5;<inf>M</inf>) constitutive relation is presented. The memristor is emulated via a resistor with nonlinear current (i<inf>R</inf>) - voltage (v<inf>R</inf>) relationship, and a mutator. The purpose of the mutator is to provide a similarity(More)
A methodology of SPICE modeling of general memristive, memcapacitative, and meminductive systems is proposed and their special cases such as memristors (MR), memcapacitors (MC), and meminductors (ML) are given. These elements are included alongside the conventional R, C, and L elements in a proposed constellation, which generalizes the hitherto approach(More)
Recently, novel findings have been published, according to which some mem-systems excited by harmonic signals can be characterised by the so-called 'non-crossing-type pinched hysteretic loops'. Presented is a proof that this phenomenon cannot occur in ideal memristors, memca-pacitors and meminductors which are defined axiomatically via the corresponding(More)