| Title | Conditions for Dominated Splittings |
| Authors | Liu, Geng Liang, Chao |
| Affiliation | Cent Univ Finance & Econ, China Inst Adv Study, Beijing 100081, Peoples R China. Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China. Cent Univ Finance & Econ, Dept Appl Math, Beijing 100081, Peoples R China. |
| Keywords | dominated splitting small angles HOMOCLINIC TANGENCIES HYPERBOLIC SYSTEMS DIFFEOMORPHISMS DICHOTOMY |
| Issue Date | 2009 |
| Publisher | acta mathematica sinica english series |
| Citation | ACTA MATHEMATICA SINICA-ENGLISH SERIES.2009,25,(8),1389-1398. |
| Abstract | In this paper, we solve the problem proposed by Lan Wen for the case of dimM = 3. Roughly speaking, we prove that for fixed i, f has C(1) persistently no small angles of index i if and only if f has a dominated splitting of index i on the C(1) i-preperiodic set P(*)(i)(f) |
| URI | http://hdl.handle.net/20.500.11897/157716 |
| ISSN | 1439-8516 |
| DOI | 10.1007/s10114-009-6568-2 |
| Indexed | SCI(E) 中国科技核心期刊(ISTIC) |
| Appears in Collections: | 数学科学学院 |
