کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9516893 | 1633121 | 2005 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Triangular maps with all periods and no infinite Ï-limit set containing periodic points
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
For a continuous map Ï of the interval there is a long list of more than 50 conditions characterizing zero topological entropy, including, e.g., conditions (i) Ï is of type 2â, (ii) every recurrent point of Ï is uniformly recurrent, (iii) Ï restricted to the set of chain recurrent points is not chaotic in the sense of Li and Yorke, (iv) no infinite Ï-limit set contains a cycle. The problem presented by A.N. Sharkovsky in the eighties is to decide which of these conditions remain equivalent in the class of triangular maps. Our second example completes the results obtained, e.g., by Forti et al. (1999), KoÄan (2003) and Å indeláÅová (2003), concerning triangular maps monotone on the fibres. The first example, with a more sophisticated proof, contributes to a more difficult problem of classification of general triangular maps, which is still not completely solved; the main partial results have been obtained by Kolyada (1992).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 153, Issues 5â6, 1 December 2005, Pages 818-832
Journal: Topology and its Applications - Volume 153, Issues 5â6, 1 December 2005, Pages 818-832
نویسندگان
G.-L. Forti, L. Paganoni, J. SmÃtal,