Passage, blockade, sink and source of a planar dynamical system
type: Item
instance of: scholarly article
title: Passage, blockade, sink and source of a planar dynamical system
zbMATH Open document ID: 0760.34028
published in: Chinese Annals of Mathematics. Series B
publication date: 1993-01-17T00:00:00Z
review text: For a planar dynamical system, the author introduces such notion as passage, blockade, sink and source of a multi-connected region \(G\). He studies relations between indices of critical points in \(G\) and the numbers of points where trajectories are internally and externally tangent to the boundary of \(G\). There are three theorems on non-existence and existence of closed orbits and some number of examples as well as discussion of results and a conjecture on a number of passages.
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34A26
zbMATH DE Number: 96738
zbMATH Keywords: planar dynamical system
zbMATH Keywords: passage
zbMATH Keywords: blockade
zbMATH Keywords: sink
zbMATH Keywords: source
zbMATH Keywords: multi-connected region
zbMATH Keywords: critical points
zbMATH Keywords: existence of closed orbits
author: Yanqian Ye
reviewed by: Leonid Lebedev
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 96738