Cyclicity of Degenerate Polycycles Through a Saddle

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.

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Cyclicity of Degenerate Polycycles Through a Saddle–Node and Two Hyperbolic Saddles