arXiv 1806.064092018-06-17math.DS

Hénon-like families and blender-horseshoes at non-transverse heterodimensional cycles

Lorenzo J. Díaz, Sebastián A. Pérez

备注：: 4 figures
DOI：: 10.1142/S0218127419300064

英文摘要：

In dimension three and under certain regularity assumptions, we construct a renormalisation scheme at the heterodimensional tangency of a non-transverse heterodimensional cycle associated with a pair of saddle-foci whose limit dynamic is a center-unstable Hénon-like family displaying blender-horseshoes. As a consequence, the initial cycle can be approximated in higher regularity topologies by diffeomorphisms having blender-horseshoes.

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