On a Cubic System with Eight Limit Cycles
نویسندگان
چکیده
منابع مشابه
Existence Conditions of Thirteen Limit Cycles in a cubic System
As we know, the second part of the Hilbert problem is to find the maximal number and relative locations of limit cycles of polynomial systems of degree n. Let H(n) denote this number, which is called the Hilbert number. Then the problem of finding H(n) is divided into two parts: find an upper and lower bounds of it. For the upper bound there are important works of Écalle [1990] and IIyashenko a...
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A part of the well-known Hilbert’s 16th problem is to consider the existence of maximal number of limit cycles for a general planar polynomial system. In general, this is a very difficult question and it has been studied by many mathematicians (see e.g. [Bautin, 1952; Zhang et al., 2004]). By [Ye, 1986] we know that there exists a quadratic system having four limit cycles. [Bautin, 1952] proved...
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ژورنال
عنوان ژورنال: Bulletin of the Belgian Mathematical Society - Simon Stevin
سال: 2007
ISSN: 1370-1444
DOI: 10.36045/bbms/1195157129