Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-26T16:31:50.629Z Has data issue: false hasContentIssue false
  • English
  • Français

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]
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)