Transcritical bifurcation yielding global stability for network processes
type: Item
instance of: scholarly article
title: Transcritical bifurcation yielding global stability for network processes
zbMATH Open document ID: 1441.34070
author: Ágnes Bodó
author: Péter L. Simon
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2020-04-23T00:00:00Z
review text: In this paper, the dynamical system \[ \dot x(t)=f(x(t)) \tag{1} \] is considered in the unit cube \(Q=\{x\in \mathbb{R}^n: 0\le x_i\le 1, i=1,\dots,n\}\) where \(f:\mathbb{R}^n\to\mathbb{R}^n\) is a differentiable function. If \(x=0\) is a solution of system (1), the authors specify sufficient conditions of its global asymptotic stability.
reviewed by: Alexander O. Ignatyev
Mathematics Subject Classification ID: 34D23
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 7192527
zbMATH Keywords: global asymptotic stability
MaRDI profile type: Publication
full work available at URL: j.na.2020.111808
OpenAlex ID: W3008294577
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DOI: 10.1016/J.NA.2020.111808
description: scientific article; zbMATH DE number 7192527