Classification of bifurcations for nonlinear dynamical problems with constraints
type: Item
instance of: scholarly article
title: Classification of bifurcations for nonlinear dynamical problems with constraints
zbMATH Open document ID: 1026.47053
DOI: 10.1007/BF02437771
author: Z. Q. Wu
author: Yushu Chen
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 2003-12-09T00:00:00Z
review text: The authors consider bifurcations of periodic solutions in nonlinear dynamical systems. They discuss the classification of the bifurcation with the type of constraint. They derive all six types of transition sets, in which three types are newly found and a method is proposed for analyzing the constrained bifurcation.
Mathematics Subject Classification ID: 47J15
zbMATH DE Number: 1880761
zbMATH Keywords: singularity
zbMATH Keywords: bifurcations of periodic solutions
zbMATH Keywords: nonlinear dynamical systems
zbMATH Keywords: constraint
reviewed by: Ulrich Kosel
MaRDI profile type: Publication
cites work: The subharmonic bifurcation solution of nonlinear Mathieu's equation and Euler dynamic buckling problems
cites work: Q4398859
cites work: Singularities and groups in bifurcation theory. Volume I
cites work: Classification and unfoldings of \(1:2\) resonant Hopf bifurcation
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description: scientific article; zbMATH DE number 1880761