The uniqueness of limit cycle of quadratic system \((II)_{m=0}\)
type: Item
instance of: scholarly article
title: The uniqueness of limit cycle of quadratic system \((II)_{m=0}\)
zbMATH Open document ID: 0697.34037
author: Pingguang Zhang
published in: Chinese Science Bulletin
publication date: 1990-01-01T00:00:00Z
review text: In the paper the system \(x'=-y+\delta x+\ell x^ 2+y^ 2\), \(y'=x(1+ax)\), \(a<0\) is studied. Theorem: If, around the point (0,0), this system has limit cycles determined by saddle \((-1/a,y_ 1)\), \(y_ 1=(a+\sqrt{a^ 2-4(\ell -a\delta)})/2a,\) then it has at most one limit cycle.
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 4142494
zbMATH Keywords: limit cycles
reviewed by: Miroslav Bartušek
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4142494