Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613687 | Journal of Differential Equations | 2006 | 11 Pages |
Abstract
Let P be a not necessarily bounded polycycle of an analytic vector field on an open set of the plane. Suppose that the singularities which appear after desingularization of the vertices of P are hyperbolic. Consider the function T defined by the return time near P. It is shown that the function T and its derivative T′ have asymptotic expansions similar to the series of Dulac but with negative powers.
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