摘要
In a two-dimensional area-preserving map we found a kind of noninvertibility that is induced by a piece-wise smooth property of the map.This can lead to the appearance of such kinds of elliptic islands that attract the iterations from a set of initial values outside themselves,while behaving regularly inside.We suggest calling such islands quasi-attractors.
作者
王健
丁晓玲
汪秉宏
何大韧
WANG Jian;DING Xiao-Ling;WANG Bing-Hong;HE Da-Ren(Institute of Plasma Physics,Chinese Academy of Sciences,Hefei 230031;Complexity Science Center,Yangzhou University,Yangzhou 225002;CCAST(World Laboratory),P.O.Box 8730,Beijin100080;Department of Modern Physics,University of Science and Technology ofChina,Hefei 230026)
基金
Supported by the National Natural Science Foundation of China under Grant Nos.19975039,49474216 and 59876093
the Natural Science Foundation of Jiangsu Provincial Education Committee under Grant No.98kjb140006
the Chinese National Basic Research Climbing Project.