Chaos generation using binary hysteresis
type: Item
instance of: scholarly article
title: Chaos generation using binary hysteresis
zbMATH Open document ID: 0608.58033
DOI: 10.1007/BF01600066
author: Robert W. Newcomb
author: Nevine El-Leithy
published in: Circuits, Systems, and Signal Processing
publication date: 1986-01-01T00:00:00Z
review text: A two dimensional dynamical system with hysteresis is considered. It is shown that an axis return map is continuous and has a periodic point of period three (for appropriate values of parameters). By Sharkovskij's theorem (the authors refer to the later paper of Li and Yorke) the dynamics of such a system has some chaotic features. The experimental results showing that such phenomena may occur in electronic circuits are given. In the authors' view, the pumping of the heart is of similar nature.
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37C25
Mathematics Subject Classification ID: 94C05
zbMATH DE Number: 3984175
zbMATH Keywords: chaos
zbMATH Keywords: hysteresis
zbMATH Keywords: periodic point
zbMATH Keywords: electronic circuits
MaRDI profile type: Publication
cites work: Period Three Implies Chaos
cites work: Q4049364
cites work: Q5582924
cites work: Ergodic Transformations from an Interval Into Itself
cites work: Q4100318
cites work: On unimodal linear transformations and chaos. II
cites work: Stochastic oscillations in dissipative systems
cites work: A theorem of Sarkovskii on the existence of periodic orbits of continuous endomorphisms of the real line
description: scientific article; zbMATH DE number 3984175