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Topological Classification of Quadratic Systems at Infinity
Author(s) -
Nikolaev Igor,
Vulpe Nicolae
Publication year - 1997
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610796004735
Subject(s) - infinity , quadratic equation , topology (electrical circuits) , mathematics , pure mathematics , combinatorics , mathematical analysis , geometry
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.