$C^2$-robust heterodimensional tangencies

Details $C^2$-robust heterodimensional tangencies $C^2$-robust heterodimensional tangencies

2011-09-20

arxiv.org/abs/1109.4200v1

Mathematics

Dynamical Systems

20 pages, 8 figures

Scientific paper

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

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