| Strange—Nonchaotic—Attractor—Like Behaviors in Coupled Map SYstems |
| |
| 引用本文： | SHIPeng－Liang FUWu－Liu 等.Strange—Nonchaotic—Attractor—Like Behaviors in Coupled Map SYstems[J].理论物理通讯,2001,35(4):389-394. |
| |
| 作者姓名： | SHIPeng－Liang FUWu－Liu |
| |
| 作者单位： | [1]DepartmentofPhysics,BeijingNormalUniversity,Beijing100875,China [2]DepartmentofPhysics,FuzhouNormalCollege,Fuzhou344000,JiangxiProvince,China |
| |
| 摘 要： | In a coupled map system,an attractor which seems to be strange nonchaotic attractor(SNA)is discovered for nonzero measure in parameter range,The attractor has nonpositive Lyapunov exponent(LE) and discrete structure.We call it strange-nonchaotic-attractor-like(SNA-like) behavior because the size of its size of its discrete structure decreases with the computing precision increasing and the true SNA does not change.The SNA-like behavior in the autonomous system is born when the truncation error of round-off is amplified to the size of the discrete part of the attractor during the long time interval of positive local LE.The SNA-like behavior is easily mistaken for a true SNA judging merely from the largest LE and the phase portrait in double precision computing.In non-autonomous system an SNA-like attractor is also found.
|
| 关 键 词： | 自动化系统 非自动化系统 非奇异浑沌吸引子 耦合映象系统 |
| 收稿时间： | 2001-01-02 |
Strange-Nonchaotic-Attractor-Like Behaviors in Coupled Map System |
| |
| SHI Peng-Liang,HE Dai-Hai,FU Wu-Liu,KANG Wei and HU Gang.Strange-Nonchaotic-Attractor-Like Behaviors in Coupled Map System[J].Communications in Theoretical Physics,2001,35(4):389-394. |
| |
| Authors: | SHI Peng-Liang HE Dai-Hai FU Wu-Liu KANG Wei and HU Gang |
| |
| Institution: | 1. Department of Physics, Beijing Normal University, Beijing 100875, China
;2. Department of Physics, Fuzhou Normal College, Fuzhou 344000,
Jiangxi Province, China |
| |
| Abstract: | In a coupled map system, an attractor which seems to be strange nonchaotic
attractor (SNA) is discovered for nonzero measure in parameter range. The
attractor has nonpositive Lyapunov exponent (LE) and discrete structure. We
call it strange-nonchaotic-attractor-like (SNA-like) behavior because the
size of its discrete structure decreases with the computing precision
increasing and the true SNA does not change. The SNA-like behavior in the
autonomous system is born when the truncation error of round-off is
amplified to the size of the discrete part of the attractor during the long
time interval of positive local LE. The SNA-like behavior is easily mistaken
for a true SNA judging merely from the largest LE and the phase portrait in
double precision computing. In non-autonomous system an SNA-like attractor is also found. |
| |
| Keywords: | strange nonchaotic attractor truncation error logistic map |
| 本文献已被 维普 等数据库收录！ |
| 点击此处可从《理论物理通讯》浏览原始摘要信息 |
| 点击此处可从《理论物理通讯》下载免费的PDF全文 |
