Moduli of surface diffeomorphisms with cubic tangencies
classification
🧮 math.DS
keywords
tangenciestwo-sidedcaseconjugacycubicdiffeomorphismsinvariantsapplicable
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In this paper, we study conjugacy invariants for 2-dimensional diffeomorphisms with homoclinic cubic tangencies (two-sided tangencies of the lowest order) under certain open conditions. Ordinary arguments used in past studies of conjugacy invariants associated with one-sided tangencies do not work in the two-sided case. We present a new method which is applicable to the two-sided case.
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