Singular analysis of two-dimensional bifurcation system
type: Item
instance of: scholarly article
title: Singular analysis of two-dimensional bifurcation system
zbMATH Open document ID: 1201.37085
published in: Science China. Technological Sciences
publication date: 2010-08-13T00:00:00Z
review text: The two-dimensional system \((x^{2}-y^{2}-\lambda,y^{2}-\lambda)\) is considered. Universal unfolding and transition sets of the bifurcation equations are obtained. It is demonstrated that the system has lost many bifurcation properties when it is reduced to a one-dimensional one \(g=x^{2}-2 \lambda\).
reviewed by: M. A. M. Alwash
Mathematics Subject Classification ID: 37G10
Mathematics Subject Classification ID: 37G15
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 5770143
zbMATH Keywords: two-dimensional bifurcation system
zbMATH Keywords: singular analysis
author: Yushu Chen
author: Zhaohong Qin
MaRDI profile type: Publication
full work available at URL: s11431-010-0083-7
OpenAlex ID: W1969254533
cites work: Steady state motions of shallow arch under periodic force with \(1:2\) internal resonance on the plane of physical parameters
cites work: 1:2 internal resonance of coupled dynamic system with quadratic and cubic nonlinearities
cites work: Bifurcation analysis of a double pendulum with internal resonance
DOI: 10.1007/S11431-010-0083-7
description: scientific article; zbMATH DE number 5770143