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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Nonsingular quadratic differential equations in the plane


Authors: M. I. T. Camacho and C. F. B. Palmeira
Journal: Trans. Amer. Math. Soc. 301 (1987), 845-859
MSC: Primary 58F18; Secondary 34C35
Erratum: Trans. Amer. Math. Soc. 307 (1988), 431.
MathSciNet review: 882718
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Abstract: We consider the problem of determining the number of inseparable leaves of nonsingular polynomial differential equations of degree two. As a corollary of a classification theorem for the foliation defined by these equations, we prove that this number is at most 2.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1987-0882718-8
PII: S 0002-9947(1987)0882718-8
Article copyright: © Copyright 1987 American Mathematical Society