Blenders constructed via C^r-small perturbations of heterodimensional cycles generate C^1-robust tangencies, and homoclinic tangency unfolding produces uncountably many robust examples under the stated conditions, answering Bonatti-Díaz.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DS 1years
2024 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
$C^1$-robust homoclinic tangencies
Blenders constructed via C^r-small perturbations of heterodimensional cycles generate C^1-robust tangencies, and homoclinic tangency unfolding produces uncountably many robust examples under the stated conditions, answering Bonatti-Díaz.