CHAOTIC STREAMLINES AND A STRANGE NONCHAOTIC ATTRACTOR IN DIVERGENCE-FREE FLOWS ON THE 3-SPHERE

被引：3
|
作者：
WEI, MZ
DOWKER, JS
机构：
[1] Department of Theoretical Physics, University of Manchester, Manchester
来源：
CHAOS SOLITONS & FRACTALS | 1993年 / 3卷 / 03期
关键词：
D O I：
10.1016/0960-0779(93)90013-Q
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Lagrangian flows of a particular divergenceless vector field on S3, which could model incompressible hydrodynamic flow, are analysed numerically for a special choice of parameters. The chaotic properties of the motions are displayed in three-dimensional plots and Poincare maps. A strange nonchaotic attractor is discovered and its fine structure is shown in a Poincare section at different scales in detail.
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页码：295 / 306
页数：12
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