Abstract
This paper deals with the cyclicity of a kind of degenerate planar polycycles through a saddle–node and two hyperbolic saddles, where the hyperbolicity ratio of the saddle (which connects the saddle–node with hp–connection) is equal to 1 and that of the other saddle is irrational. It is obtained that the cyclicity of this kind of polycycle is no more than 5 if the hp–connection keeps unbroken under the C∞ perturbations.
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