Periodic oscillations in systems with hysteresis
type: Item
instance of: scholarly article
title: Periodic oscillations in systems with hysteresis
zbMATH Open document ID: 0759.34013
author: Jack W. Macki
author: Pietro Zecca
author: Paolo Nistri
published in: Rocky Mountain Journal of Mathematics
publication date: 1993-01-17T00:00:00Z
review text: The differential equation \(L_ m[y](t)=f[y](t)\), \(t\geq 0\), \(m\geq 2\) is studied where \(L_ m\) is a linear differential operator with constant coefficients, \(f\) is a possibly discontinuous operator with relay hysteresis. Sufficient conditions are given under which there exists a nontrivial periodic solution.
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 34K10
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34C15
zbMATH DE Number: 97435
zbMATH Keywords: harmonic balance
zbMATH Keywords: differential inclusions
zbMATH Keywords: multifunctions
zbMATH Keywords: relay hysteresis
zbMATH Keywords: periodic solution
reviewed by: Miroslav Bartušek
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181072758
OpenAlex ID: W1978832428
cites work: Heuristic Methods for Solving Large Scale Network Routing Problems: The Telpaking Problem
cites work: Justification of the Describing Function Method
cites work: Q3337856
cites work: Q5569345
cites work: The mathematics of hysteresis
cites work: Discrete interaction of a plate and a rod
cites work: Q3737801
cites work: Q4722432
cites work: Q5612322
cites work: A theoretical justification of the method of harmonic balance for systems with discontinuities
cites work: Describing Functions: Ten Years On
cites work: Describing functions revisited
cites work: On Limit Cycles of Feedback Systems which Contain a Hysteresis Nonlinearity
cites work: Q4045185
cites work: On the existence of self-excited oscillations in systems with discontinuous elements
cites work: On the Preisach model for hysteresis
cites work: Evolution Problems with Hysteresis in the Source Term
cites work: Q3212363
DOI: 10.1216/RMJM/1181072758
description: scientific article; zbMATH DE number 97435