Absolutely continuous invariant measures that cannot be observed experimentally

被引：4
|
作者：
Góra, P
Boyarsky, A
Islam, MDS
Bahsoun, W
机构：
[1] Concordia Univ, Dept Math & Stat, Montreal, PQ H4B 1R6, Canada
[2] Univ Lethbridge, Dept Math & Comp Sci, Lethbridge, AB T1K 3M4, Canada
[3] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada
来源：
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS | 2006年 / 5卷 / 01期
关键词：
random map; absolutely continuous invariant measure; stable periodic orbit; unobservable measure;
D O I：
10.1137/040606478
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study an example of a random map where the component maps have absolutely continuous invariant measures (acims), but where computer experiments reveal the surprising fact that all orbits eventually fall into a stable periodic orbit. This is all the more surprising as we prove that this random map admits an acim mu. We study this phenomenon and explain why mu cannot be observed experimentally.
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页码：84 / 90
页数：7
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