Andronov-Hopf bifurcation in systems with Preisach operator
type: Item
instance of: scholarly article
title: Andronov-Hopf bifurcation in systems with Preisach operator
zbMATH Open document ID: 1186.34061
DOI: 10.1134/S1064562408050177
author: A. A. Zhezherun
author: N. Kuznetsov
author: Dmitrii Rachinskii
published in: Doklady Mathematics
publication date: 2010-01-12T00:00:00Z
review text: From the text: We examine the Andronov-Hopf bifurcations in systems consisting of the principal linear part and an hysteresis nonlinearity. Conditions for the birth of cycles at an equilibrium state and at infinity are proposed (in the systems under consideration, both bifurcations occur at the same value of the parameter). Under the additional assumption about the dominance of the linear part of the system, one can trace the global cycle branch connecting the equilibrium state with infinity.
Mathematics Subject Classification ID: 34C55
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 5656081
MaRDI profile type: Publication
cites work: The method of parameter functionalization in the hopf bifurcation problem
cites work: Hysteresis and phase transitions
full work available at URL: s1064562408050177
OpenAlex ID: W2011009619
description: scientific article; zbMATH DE number 5656081