UNIQUENESS OF LIMIT-CYCLES IN POLYNOMIAL SYSTEMS WITH ALGEBRAIC INVARIANTS

被引:18
作者
ZEGELING, A [1 ]
KOOIJ, RE [1 ]
机构
[1] DELFT UNIV TECHNOL,FAC TECH MATH & INFORMAT,2600 GA DELFT,NETHERLANDS
关键词
D O I
10.1017/S0004972700016026
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The uniqueness of limit cycles is proved for quadratic systems with an invariant parabola and for cubic systems with four real line invariants. Also a new, simple proof is given of the uniqueness of limit cycles occurring in unfoldings of certain vector fields with codimension two singularities.
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页码:7 / 20
页数:14
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