TOPOLOGICAL CLASSIFICATION OF QUADRATIC SYSTEMS AT INFINITY

Authors
NIKOLAEV I VULPE N
Citation
I. Nikolaev et N. Vulpe, TOPOLOGICAL CLASSIFICATION OF QUADRATIC SYSTEMS AT INFINITY, Journal of the London Mathematical Society, 55, 1997, pp. 473-488
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Journal of the London Mathematical Society → ACNP
ISSN journal
00246107
Volume
55
Year of publication
1997
Part
3
Pages
473 - 488
Database
ISI
SICI code
0024-6107(1997)55:<473:TCOQSA>2.0.ZU;2-2
Abstract
It is proved that quadratic systems of autonomous differential equatio ns in the plane admit forty-five topologically distinct phase configur ations at infinity. The related conditions on the coefficients are giv en in affine invariant form.