Mathematical description of differential equation solving electrical circuits

Peer reviewedPostprin

Memristors for the Curious Outsiders

We present both an overview and a perspective of recent experimental advances and proposed new approaches to performing computation using memristors. A memristor is a 2-terminal passive component with a dynamic resistance depending on an internal parameter. We provide an brief historical introduction, as well as an overview over the physical mechanism that lead to memristive behavior. This review is meant to guide nonpractitioners in the field of memristive circuits and their connection to machine learning and neural computation.Comment: Perpective paper for MDPI Technologies; 43 page

A Programmable Neural Oscillator Cell

A programmable analog neural oscillator cell architecture is presented. The proposed neuron circuit is of hysteretic neural nature with its implementation based on operational transconductance amplifiers (OTA's). The hysteresis loop as well as the frequency of oscillation are voltage (or current) dependent. The architecture, which involves two OTA's, a current mirror, a capacitor, a diode, and a resistor is very suitable for monolithic integrated circuits. Experimental results confirm the expected flexibility of the synthetic neuron

Differential-Algebraic Equations and Beyond: From Smooth to Nonsmooth Constrained Dynamical Systems

The present article presents a summarizing view at differential-algebraic equations (DAEs) and analyzes how new application fields and corresponding mathematical models lead to innovations both in theory and in numerical analysis for this problem class. Recent numerical methods for nonsmooth dynamical systems subject to unilateral contact and friction illustrate the topicality of this development.Comment: Preprint of Book Chapte

Transient analysis and synthesis of linear circuits using constraint logic programming

In this paper describes the design of a transient analysis program for linear circuits and its implementation in a Constraint Logic Programming language, CLP(R). The transient analysis program parses the input circuit description into a network graph, analyses its semantic correctness and then performs the transient analysis. The test results show that the program is at least 97% accurate when run at two decimal places. We have also compared the performance of our program with a commercial package implemented in an imperative language. The advantages of implementing the analysis program in a CLP language include: quick construction and ease of maintenance. We also report on the synthesis of generation of a circuit with given transient characteristics