Fractal analysis of the solar wind flow in the inner heliosphere

被引:20
作者
Macek, WM
Obojska, L
机构
[1] Space Research Centre, Polish Academy of Sciences, 00-716 Warsaw
关键词
D O I
10.1016/S0960-0779(97)00041-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We argue that the inner heliosphere is a chaotic system. We invoke time series analysis of the measurements by the Hellos spacecraft (near the Sun) in low-speed streams. The slope of the calculated correlation function saturates at some finite value of the embedding dimension, indicating a low-dimension of the attractor of about 3.5. Furthermore, the largest calculated positive Lyapunov exponent of similar to 1/5 bits per data sample (40.5 s) shows sensitive dependence on initial conditions. This means that the predictability of the system is limited to about 1 h. (C) 1997 Elsevier Science Ltd.
引用
收藏
页码:1601 / 1607
页数:7
相关论文
共 24 条
[11]   DIMENSIONS AND ENTROPIES OF STRANGE ATTRACTORS FROM A FLUCTUATING DYNAMICS APPROACH [J].
GRASSBERGER, P ;
PROCACCIA, I .
PHYSICA D, 1984, 13 (1-2) :34-54
[12]   NON-GAUSSIAN PROBABILITY-DISTRIBUTIONS OF SOLAR-WIND FLUCTUATIONS [J].
MARSCH, E ;
TU, CY .
ANNALES GEOPHYSICAE-ATMOSPHERES HYDROSPHERES AND SPACE SCIENCES, 1994, 12 (12) :1127-1138
[13]  
MARSCH E, 1993, ANN GEOPHYS, V11, P227
[14]  
PAVLOS GP, 1992, ANN GEOPHYS-ATM HYDR, V10, P309
[15]   THE BERNARD,CLAUDE LECTURE, 1989 DETERMINISTIC CHAOS - THE SCIENCE AND THE FICTION [J].
RUELLE, D .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1990, 427 (1873) :241-248
[16]  
Schwenn R., 1990, Physics of the inner heliosphere i, P99
[17]  
Strogatz S.H., 1994, NONLINEAR DYNAMICS C
[18]  
Takens F., 1981, Dynamical Systems and Turbulence, P366, DOI [10.1007/BFb0091924, DOI 10.1007/BFB0091924]
[19]   SPURIOUS DIMENSION FROM CORRELATION ALGORITHMS APPLIED TO LIMITED TIME-SERIES DATA [J].
THEILER, J .
PHYSICAL REVIEW A, 1986, 34 (03) :2427-2432
[20]   TESTING FOR NONLINEARITY IN TIME-SERIES - THE METHOD OF SURROGATE DATA [J].
THEILER, J ;
EUBANK, S ;
LONGTIN, A ;
GALDRIKIAN, B ;
FARMER, JD .
PHYSICA D, 1992, 58 (1-4) :77-94