Discrete dynamical modeling and analysis of the R-S flip-flop circuit

Document Type

Article

Publication Date

10-30-2009

Abstract

A simple discrete planar dynamical model for the ideal (logical) R-S flip-flop circuit is developed with an eye toward mimicking the dynamical behavior observed for actual physical realizations of this circuit. It is shown that the model exhibits most of the qualitative features ascribed to the R-S flip-flop circuit, such as an intrinsic instability associated with unit set and reset inputs, manifested in a chaotic sequence of output states that tend to oscillate among all possible output states, and the existence of periodic orbits of arbitrarily high period that depend on the various intrinsic system parameters. The investigation involves a combination of analytical methods from the modern theory of discrete dynamical systems, and numerical simulations that illustrate the dazzling array of dynamics that can be generated by the model. Validation of the discrete model is accomplished by comparison with certain Poincaré map like representations of the dynamics corresponding to three-dimensional differential equation models of electrical circuits that produce R-S flip-flop behavior. © 2009 Elsevier Ltd. All rights reserved.

Identifier

67649846191 (Scopus)

Publication Title

Chaos Solitons and Fractals

External Full Text Location

https://doi.org/10.1016/j.chaos.2009.02.032

ISSN

09600779

First Page

951

Last Page

963

Issue

2

Volume

42

This document is currently not available here.

Share

COinS