C2-robust heterodimensional tangencies

Author: Kiriki Shin   Soma Teruhiko  

Publisher: IOP Publishing

ISSN: 0951-7715

Source: Nonlinearity, Vol.25, Iss.12, 2012-12, pp. : 3277-3299

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Abstract

In this paper, we give sufficient conditions for the existence of C2 robust heterodimensional tangency, and present a non-empty open set in Diff2(M) with dim M 3 each element of which has a non-degenerate heterodimensional tangency on a C2 robust heterodimensional cycle.