Ideal systems and connecting orbits
type: Item
instance of: scholarly article
title: Ideal systems and connecting orbits
zbMATH Open document ID: 1071.34043
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 2005-01-25T00:00:00Z
review text: A special class of dynamical systems, called ideal systems, generated by autonomous systems of ordinary differential equations in \(\mathbb R^n\), is considered. For such systems an existence criterion is given for quasi-connecting orbits which connect two critical points. Also, an existence criterion of connecting orbits for general systems is presented. The results obtained extend the results by \textit{Shu-Xiang Yu} [J. Differ. Equations 66, 230--242 (1987; Zbl 0625.34025)] to \(\mathbb R^n\).
reviewed by: Eugene Ershov
Mathematics Subject Classification ID: 34C37
Mathematics Subject Classification ID: 37B40
zbMATH DE Number: 2130931
zbMATH Keywords: connecting orbits
zbMATH Keywords: quasi-connecting orbits
zbMATH Keywords: generalized isolating block
author: Shuxiang Yu
author: Zuohuan Zheng
author: Fan-Nu Hu
MaRDI profile type: Publication
full work available at URL: s10255-004-0199-2
OpenAlex ID: W1973716524
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DOI: 10.1007/S10255-004-0199-2
description: scientific article; zbMATH DE number 2130931