$C^2$-robust heterodimensional tangencies

Abstract

In this paper, we give sufficient conditions for the existence of $C^2$ robust heterodimensional tangency, and present a nonempty open set in $\Diff^2(M)$ with $\dim (M)\ge 3$ each element of which has a non-degenerate heterodimensional tangency on a $C^2$ robust heterodimensional cycle.

arXiv commentto appear from Nonlinearity (24 pages, 11 figures)

Cited by in corpus (2)

• Robust tangencies of large codimension
• Non-trivial wandering domains for heterodimensional cycles