Ahsfract-Using the notion of fading memory we prove very strong versions of two folk theorems. The first is that any time-inuariant (TZ) con~inuou.r nonlinear operator can be approximated by aâ€¦ (More)

Absrrucf-This paper provides a rigorous mathematical proof that the double scroll is indeed chaotic. Our approach is to derive a linearly equitdent class of piecewise-linear differential equationsâ€¦ (More)

This tutorial paper proposes a subclass of cellular neural networks (CNN) having no inputs (i.e., autonomous) as a universal active substrate or medium for modeling and generating many patternâ€¦ (More)

Volterra series have been in the engineering literature for some time now, and yet there have been few attempts to measure Volterra kernels. This paper discusses techniques for measuring the Volterraâ€¦ (More)

I N NONLINEAR systems theory two types of operators are especially important: linear time-inuariant (LTI) operators and memoryless or static nonlinear operators. Many important and well-known resultsâ€¦ (More)

Recently, in addition to the well-known resistor, capacitor, and inductor, a fourth passive circuit element, named memristor, has been identified following theoretical predictions. The model exampleâ€¦ (More)

Public reporting burden lor the collection ol Information Is estimated to average 1 hour per response, Including the time lor reviewing Instructions, searching existing data sou gathering andâ€¦ (More)

This paper is addressed to the so-called overflow problem commonly encountered in the computer simulation of nonlinear resistive circuits containing rapidly varying nonlinearities such asâ€¦ (More)