STRANGE TRIANGULAR MAPS OF THE SQUARE

被引：35
作者：
FORTI, GL
PAGANONI, L
SMITAL, J
机构：
[1] UNIV MILAN,DIPARTIMENTO MATEMAT,I-20133 MILAN,ITALY
[2] COMENIUS UNIV BRATISLAVA,INST MATH,BRATISLAVA 84215,SLOVAKIA
[3] SILESIAN UNIV,MATH INST,CR-74061 OPAVA,CZECH REPUBLIC
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1995年 / 51卷 / 03期
关键词：
D O I：
10.1017/S0004972700014222
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that continuous triangular maps of the square I-2, F : (x,y) --> (f(x), g(x,y)), exhibit phenomena impossible in the one-dimensional case. In particular: (1) A triangular map F with zero topological entropy can have a minimal set containing an interval {a}xI, and can have recurrent points that are not uniformly recurrent; this solves two problems by S.F. Kolyada. (2) In the class of mappings satisfying Per(F) = Fix(F), there are nonchaotic maps with positive sequence topological entropy and chaotic maps with zero sequence topological entropy.
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页码：395 / 415
页数：21
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