$C^2$-robust heterodimensional tangencies

Shin Kiriki; Teruhiko Soma

$C^2$-robust heterodimensional tangencies

Dynamical Systems 2012-09-28 v2 Chaotic Dynamics

Authors: Shin Kiriki , Teruhiko Soma

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

Cite

@article{arxiv.1109.4200,
  title  = {$C^2$-robust heterodimensional tangencies},
  author = {Shin Kiriki and Teruhiko Soma},
  journal= {arXiv preprint arXiv:1109.4200},
  year   = {2012}
}

Comments

to appear from Nonlinearity (24 pages, 11 figures)

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