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Journal of the London Mathematical Society 1997 55(3):473-488; doi:10.1112/S0024610796004735
© 1997 by London Mathematical Society
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© The London Mathematical Society

Topological Classification of Quadratic Systems at Infinity

Igor Nikolaev and Nicolae Vulpe

Centre de Recherches Mathématiques, Université de Montréal Montréal (Québec) H3C 3J7, Canada. E-mail: loutseni{at}ere.umontreal.ca
Mathematical Institute 5-Academiei str. 277028, Kishinev, Moldavia, CIS. E-mail: 15vulpe{at}mathem.moldova.su

Received 10 October 1994. Revision received 10 March 1995.

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.


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