2007 | OriginalPaper | Buchkapitel
Centers and Limit Cycles
Erschienen in: Limit Cycles of Differential Equations
Verlag: Birkhäuser Basel
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In this chapter I want to give a general background to the center-focus problem, and then to show why the problem is interesting: both in what it tells us about the distinctive algebraic features of polynomial vector fields, and also in the simple concrete estimates it gives of the number of limit cycles which can exist in these vector fields.