Metaphorical Modeling of Resistor Elements

The Bidirectional Variable Resistor Model

“…One scalar state variable is enough to describe the state of simple resistor element [7,8]: R = R(x). For two resistor elements there are two state variables x 1 and x 2 .…”

“…Equations (7) are interrelated because resistance R 2 comes into the definition of function G 1 (8) and because resistance R 1 comes into the definition of function G 2 . When R 2 /R 1 → ∞, the relation between G 1 and R 2 vanishes, the state of the first resistor element varies independently of the state of the second resistor element.…”

“…Let us bring the particulars of the solutions of set (7) to a sharper focus. The dash-and-dot line stands for the first period of the triangular-shape voltage, the dotted-line curve stands for the second period, and solid-line curve denotes the third period.…”

“…Assumption (14) about the constancy of functions F x looks somewhat unnatural. Let's try to take experimentally substantiated functions [7,8]:…”

“…In development of electronic systems, first of all, large neuromorphic systems, it would be important to have a system-representation model that is as simple as possible, though unable to approximate the system characteristics accurately because of a small number of parameters. Papers [7,8] have considered a model of a simple resistor element. The model allows the reproduction of many behavioral characteristics of variable resistors such as metal-dielectric-metal structures [9,10], which give "voltage-current characteristics" similar to experimental characteristics.…”