 97136 Amadeu Delshams, Arnau Mir
 PsiSeries of Quadratic Vector Fields on the Plane
(80K, LaTeX 2.09 and PicTeX)
Mar 19, 97

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. Psiseries (i.e., logarithmic series) for the solutions of quadratic
vector fields on the plane are considered.
Its existence and convergence is studied, and an
algorithm for the location of logarithmic singularities is developed.
Moreover, the relationship between psiseries and nonintegrability is
stressed and in particular it is proved that quadratic systems
with psiseries that are not Laurent series do not have an
algebraic first integral.
Besides, a criterion about nonexistence of an analytic first integral
is given.
 Files:
97136.tex