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The Existential Hilbert 16-th problem and an estimate for cyclicity of elementary polycycles

โœ Scribed by V. Kaloshin

Publisher
Springer-Verlag
Year
2003
Tongue
English
Weight
753 KB
Volume
151
Category
Article
ISSN
0020-9910

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โœ Christiane Rousseau ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 502 KB

We discuss here a method of proof of the existential part of Hilbert's 16th problem for quadratic vector fields initiated in 1991 [7]. The program consists in proving the finite cyclicity of 121 graphics appearing among quadratic systems. We briefly summarize some of the methods introduced for that