Psi-Series of Quadratic Systems on the Plane
نویسندگان
چکیده
Psi-series (i.e., logarithmic series) of quadratic systems on the plane are considered. Its existence and convergence is studied, and an algorithm of location of logarithmic singularities is developed. Moreover, the relationship between psi-series and non-integrability is stressed and in particular it is proved that quadratic systems with psi-series that are not Laurent series do not have an algebraic rst integral.
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تاریخ انتشار 1995