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TOPOLOGICAL CLASSIFICATION OF QUADRATIC SYSTEMS AT INFINITY

Published online by Cambridge University Press:  01 June 1997

IGOR NIKOLAEV  and
NICOLAE VULPE
IGOR NIKOLAEV
Affiliation:
Centre de Recherches Mathématiques, Université de Montréal, Montréal (Québec) H3C 3J7, Canada. E-mail: [email protected]
NICOLAE VULPE
Affiliation:
Mathematical Institute, 5-Academiei str. 277028, Kishinev, Moldavia, CIS. E-mail: [email protected]
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Abstract

It is proved that quadratic systems of autonomous differential equations in the plane admit forty-five topologically distinct phase configurations at infinity. The related conditions on the coefficients are given in affine invariant form.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 55 , Issue 3 , June 1997 , pp. 473 - 488
Copyright
The London Mathematical Society 1997

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