| Original Articles |
|
|
|
|
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 |
|
| Cite this article: |
|
WANG Jian, DING Xiao-Ling, WANG Bing-Hong et al 2001 Chin. Phys. Lett. 18 13-15 |
|
|
|
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.
|
| Keywords:
05.45.-a
|
|
|
Published: 01 January 2001
|
|
| PACS: |
05.45.-a
|
(Nonlinear dynamics and chaos)
|
|
|
|
|
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
