| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4611444 | Journal of Differential Equations | 2012 | 24 Pages |
Abstract
We study diffeomorphisms f with heterodimensional cycles, that is, heteroclinic cycles associated to saddles p and q with different indices. Such a cycle is called fragile if there is no diffeomorphism close to f with a robust cycle associated to hyperbolic sets containing the continuations of p and q. We construct a codimension one submanifold of Diff1(S2×S1) that consists of diffeomorphisms with fragile heterodimensional cycles. Our construction holds for any manifold of dimension ⩾4.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
