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Some criteria on the uniqueness of limit cycles in planar polynomial vector fields. (English) Zbl 0965.34018

Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 2. Singapore: World Scientific. 1424-1426 (2000).
From the introduction: The main goal of this note is to present new criteria for studying the uniqueness of algebraic limit cycles of planar polynomial vector fields.
For the entire collection see [Zbl 0949.00026].

MSC:

34C07 Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert’s 16th problem and ramifications) for ordinary differential equations
34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations
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