Conditions for dominated splittings |
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| Authors: | Geng Liu Chao Liang |
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| Institution: | (1) China Institute for Advanced Study, The Central University of Finance and Economics, Beijing, 100081, P. R. China;(2) School of Mathematical Sciences, Peking University, Beijing, 100871, P. R. China;(3) Applied Mathematics Department, The Central University of Finance and Economics, Beijing, 100081, P. R. China |
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| 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).
Liu and Liang are supported by NNSFC (#10671006) |
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| Keywords: | dominated splitting small angles |
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