$C^2$-robust heterodimensional tangencies

Shin Kiriki; Teruhiko Soma

arxiv: 1109.4200 · v2 · pith:ZVC3HU3Pnew · submitted 2011-09-20 · 🧮 math.DS · nlin.CD

C²-robust heterodimensional tangencies

Shin Kiriki , Teruhiko Soma This is my paper

classification 🧮 math.DS nlin.CD

keywords heterodimensionalrobusttangencyconditionscyclediffelementexistence

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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 $\dim(M)\geq 3$ each element of which has a non-degenerate heterodimensional tangency on a $C^2$ robust heterodimensional cycle.

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C²-robust heterodimensional tangencies

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