There exists a C^r diffeomorphism with a wild affine blender-horseshoe that is robustly strongly pluripotent for the majority subset but not the whole set, creating a robust obstruction to full strong pluripotency.
Takens, Orbits with historic behaviour, or non-exis tence of averages, Nonlinearity, 21(3):T33–T36, 2008
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DS 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
A robust obstruction to full strong pluripotency for wild blender-horseshoes
There exists a C^r diffeomorphism with a wild affine blender-horseshoe that is robustly strongly pluripotent for the majority subset but not the whole set, creating a robust obstruction to full strong pluripotency.