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In this paper, we propose a novel approach to describe and analyze circuits which consist of any linear circuit connected to an arbitrary number of memristors. Due to the memristors the whole circuit is a nonlinear system. We use a Volterra series approach to derive solutions of voltages and currents in memristive circuits. Thereby, the memristors are presented by polynomial functions which cover...
In 2008 a physical device that contained a layer of titanium dioxide located between platinum electrodes became known as the HP-Memristor. Many models of this device, in different degrees of abstraction, were presented in the literature. This paper describes the simulation of some of these models, written in the object oriented language Modelica, with different numerical algorithms and gives an overview...
The memristor as a basic circuit element has drawn wide attention in the international research community of electrical engineers, physicists, and biologists. Memristors - being prominent for the realization of non-volatile VLSI resistive random access memories (RRAM) and for their applicability as synapses in neuromorphic systems provide even further surprising properties in electric circuits, which...
In this paper, we provide a novel approach to describe and analyze memristive circuits. This method is based on a Volterra series representation of the essential time functions of the circuit. This does not only provide the possibility of calculating voltages and currents over time in specific memristive networks, but describes the behavior of a general single memristor circuit, e.g. a circuit with...
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