학술논문
H\'enon-like families and blender-horseshoes at non-transverse heterodimensional cycles
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Working Paper
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Abstract
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 H\'enon-like family displaying blender-horseshoes. As a consequence, the initial cycle can be approximated in higher regularity topologies by diffeomorphisms having blender-horseshoes.
Comment: 4 figures
Comment: 4 figures