Cyclicity of planar polycycles and ensembles with codimension 3 degeneration through a saddle-node and two hyperbolic saddles |
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| Authors: | Liqin Zhao |
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| Affiliation: | (1) Department of Mathematics, Beijing Normal University, 100875 Beijing, China |
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| Abstract: | The cyclicity of four classes of codimension 3 plnnar polycycles and ensembles containing a saddle-node and two hyperbdic saddles is dealt with. The exnct cyclicity or cyclicity bound of them is obtained by finitely-smooth normal form theory. |
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| Keywords: | polycycle finitely smooth normal form transition map Dulac map |
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