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The problem of general center-focus and bifurcation of limit cycles for a planar system of nine degrees

โœ Scribed by Chaoxiong Du; Yirong Liu


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
1023 KB
Volume
223
Category
Article
ISSN
0377-0427

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โœฆ Synopsis


Our researches are concerned with a class of planar general equivariant system of nine degrees. By making two appropriate transformations of system and calculating focal values carefully, we obtain the conditions that the infinity and three elementary focuses

2 ) become four general centers at the same time. Moreover, 20 limit cycles including 15 small limit cycles from three elementary foci and 5 large limit cycles from the infinity can occur under a certain condition.


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