Quasi-attractors in a Piece-Wise Smooth Area-Preserving Map
WANG Jian1,2, DING Xiao-Ling2,
WANG Bing-Hong3,4,
HE Da-Ren1,2,3
1Institute of Plasma Physics, Chinese Academy of Sciences,Hefei 230031
2Complexity Science Center, Yangzhou University, Yangzhou 225002
3CCAST (World Laboratory), P.O.Box 8730, Beijin100080
4Department of Modern Physics, University of Science and Technology ofChina, Hefei 230026
Quasi-attractors in a Piece-Wise Smooth Area-Preserving Map
WANG Jian1,2;DING Xiao-Ling2,
WANG Bing-Hong3,4;
HE Da-Ren1,2,3
1Institute of Plasma Physics, Chinese Academy of Sciences,Hefei 230031
2Complexity Science Center, Yangzhou University, Yangzhou 225002
3CCAST (World Laboratory), P.O.Box 8730, Beijin100080
4Department of Modern Physics, University of Science and Technology ofChina, Hefei 230026
Abstract： 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.
WANG Jian;DING Xiao-Ling;
WANG Bing-Hong;
HE Da-Ren;. Quasi-attractors in a Piece-Wise Smooth Area-Preserving Map[J]. 中国物理快报, 2001, 18(1): 13-15.
WANG Jian, DING Xiao-Ling,
WANG Bing-Hong,
HE Da-Ren,. Quasi-attractors in a Piece-Wise Smooth Area-Preserving Map. Chin. Phys. Lett., 2001, 18(1): 13-15.
2001, Vol. 18 
