On point-dissipative systems of differential equations with quadratic nonlinearity
type: Item
instance of: scholarly article
title: On point-dissipative systems of differential equations with quadratic nonlinearity
zbMATH Open document ID: 0714.34085
DOI: 10.1155/S0161171291000108
author: Anil K. Bose
author: Alan S. Cover
author: James A. Reneke
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1991-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46541
review text: Summary: The system \(x'=Ax+f(x)\) of nonlinear vector differential equations, where the nonlinear term f(x) is quadratic with orthogonality property \(x^ Tf(x)=0\) for all x, is point-dissipative if \(u^ TAu<0\) for all nontrivial zeros u of f(x), i.e., there is a bounded region which every trajectory of the system eventually enters and remains within.
Mathematics Subject Classification ID: 34D40
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 34C11
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 4175470
zbMATH Keywords: nonlinear vector differential equations
zbMATH Keywords: dissipative
MaRDI profile type: Publication
OpenAlex ID: W2072169233
description: scientific article; zbMATH DE number 4175470