ON THE SINGULAR-HYPERBOLICITY OF STAR FLOWS
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | ON THE SINGULAR-HYPERBOLICITY OF STAR FLOWS |
| Type de publication | Journal Article |
| Year of Publication | 2014 |
| Auteurs | Shi Y, Gan S, Wen L |
| Journal | JOURNAL OF MODERN DYNAMICS |
| Volume | 8 |
| Pagination | 191-219 |
| Date Published | JUN |
| Type of Article | Article |
| ISSN | 1930-5311 |
| Mots-clés | Lyapunov stable class, shadowing, Singular-hyperbolicity, star flow |
| Résumé | We prove for a generic star vector field X that if, for every chain recurrent class C of X, all singularities in C have the same index, then the chain recurrent set of X is singular-hyperbolic. We also prove that every Lyapunov stable chain recurrent class of a generic star vector field is singular-hyperbolic. As a corollary, we prove that the chain recurrent set of a generic 4-dimensional star flow is singular-hyperbolic. |
| DOI | 10.3934/jmd.2014.8.191 |