Splitting of a small separatrix loop near the saddle-center bifurcation in area-preserving maps
The author deals with the splitting of a small separatrix loop that appears after the Bogdanov-Takens (saddle-center) bifurcation in an analytic family of area-preserving maps and proves that in general the splitting is described by almost the ``same formula'' as in the case of the standard map. More precisely, the author derives an asymptotic formula that describes the splitting, and studies the properties of the pre-exponential factor.
scientific article; zbMATH DE number 1394447