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AN OPTIMIZED BOX-ASSISTED ALGORITHM FOR FRACTAL DIMENSIONS
被引:164
作者
:
GRASSBERGER, P
论文数:
0
引用数:
0
h-index:
0
机构:
Physics Department, University of Wuppertal, D-5600 Wuppertal 1
GRASSBERGER, P
机构
:
[1]
Physics Department, University of Wuppertal, D-5600 Wuppertal 1
来源
:
PHYSICS LETTERS A
|
1990年
/ 148卷
/ 1-2期
关键词
:
D O I
:
10.1016/0375-9601(90)90577-B
中图分类号
:
O4 [物理学];
学科分类号
:
0702 ;
摘要
:
We present an optimized algorithm for estimating the correlation dimension of an attractor based on very long time sequences. The main idea is to use a mesh in order to count only near neighbors in the correlation sum. Using linked lists, this leads to an extremely fast and storage-efficient routine, with running time and storage both ∝N, for N data points and N actually computed distances. © 1990.
引用
收藏
页码:63 / 68
页数:6
相关论文
共 13 条
[1]
BADII R, 1985, J STAT PHYS, V40, P725, DOI 10.1007/BF01009897
[2]
MULTIDIMENSIONAL TREES, RANGE SEARCHING, AND A CORRELATION DIMENSION ALGORITHM OF REDUCED COMPLEXITY
BINGHAM, S
论文数:
0
引用数:
0
h-index:
0
BINGHAM, S
KOT, M
论文数:
0
引用数:
0
h-index:
0
KOT, M
[J].
PHYSICS LETTERS A,
1989,
140
(06)
: 327
-
330
[3]
GENERALIZED DIMENSIONS OF STRANGE ATTRACTORS
GRASSBERGER, P
论文数:
0
引用数:
0
h-index:
0
GRASSBERGER, P
[J].
PHYSICS LETTERS A,
1983,
97
(06)
: 227
-
230
[4]
FINITE-SAMPLE CORRECTIONS TO ENTROPY AND DIMENSION ESTIMATES
GRASSBERGER, P
论文数:
0
引用数:
0
h-index:
0
GRASSBERGER, P
[J].
PHYSICS LETTERS A,
1988,
128
(6-7)
: 369
-
373
[5]
MEASURING THE STRANGENESS OF STRANGE ATTRACTORS
GRASSBERGER, P
论文数:
0
引用数:
0
h-index:
0
机构:
WEIZMANN INST SCI,DEPT CHEM PHYS,IL-76100 REHOVOT,ISRAEL
WEIZMANN INST SCI,DEPT CHEM PHYS,IL-76100 REHOVOT,ISRAEL
GRASSBERGER, P
PROCACCIA, I
论文数:
0
引用数:
0
h-index:
0
机构:
WEIZMANN INST SCI,DEPT CHEM PHYS,IL-76100 REHOVOT,ISRAEL
WEIZMANN INST SCI,DEPT CHEM PHYS,IL-76100 REHOVOT,ISRAEL
PROCACCIA, I
[J].
PHYSICA D,
1983,
9
(1-2):
: 189
-
208
[6]
GENERALIZATIONS OF THE HAUSDORFF DIMENSION OF FRACTAL MEASURES
GRASSBERGER, P
论文数:
0
引用数:
0
h-index:
0
GRASSBERGER, P
[J].
PHYSICS LETTERS A,
1985,
107
(03)
: 101
-
105
[7]
GRASSBERGER P, IN PRESS
[8]
Knuth D.E., 1997, ART COMPUTER PROGRAM, V3
[9]
Omohundro S. M., 1987, Complex Systems, V1, P273
[10]
TAKENS F, 1983, 13 AT COL BRAS MAT
←
1
2
→
共 13 条
[1]
BADII R, 1985, J STAT PHYS, V40, P725, DOI 10.1007/BF01009897
[2]
MULTIDIMENSIONAL TREES, RANGE SEARCHING, AND A CORRELATION DIMENSION ALGORITHM OF REDUCED COMPLEXITY
BINGHAM, S
论文数:
0
引用数:
0
h-index:
0
BINGHAM, S
KOT, M
论文数:
0
引用数:
0
h-index:
0
KOT, M
[J].
PHYSICS LETTERS A,
1989,
140
(06)
: 327
-
330
[3]
GENERALIZED DIMENSIONS OF STRANGE ATTRACTORS
GRASSBERGER, P
论文数:
0
引用数:
0
h-index:
0
GRASSBERGER, P
[J].
PHYSICS LETTERS A,
1983,
97
(06)
: 227
-
230
[4]
FINITE-SAMPLE CORRECTIONS TO ENTROPY AND DIMENSION ESTIMATES
GRASSBERGER, P
论文数:
0
引用数:
0
h-index:
0
GRASSBERGER, P
[J].
PHYSICS LETTERS A,
1988,
128
(6-7)
: 369
-
373
[5]
MEASURING THE STRANGENESS OF STRANGE ATTRACTORS
GRASSBERGER, P
论文数:
0
引用数:
0
h-index:
0
机构:
WEIZMANN INST SCI,DEPT CHEM PHYS,IL-76100 REHOVOT,ISRAEL
WEIZMANN INST SCI,DEPT CHEM PHYS,IL-76100 REHOVOT,ISRAEL
GRASSBERGER, P
PROCACCIA, I
论文数:
0
引用数:
0
h-index:
0
机构:
WEIZMANN INST SCI,DEPT CHEM PHYS,IL-76100 REHOVOT,ISRAEL
WEIZMANN INST SCI,DEPT CHEM PHYS,IL-76100 REHOVOT,ISRAEL
PROCACCIA, I
[J].
PHYSICA D,
1983,
9
(1-2):
: 189
-
208
[6]
GENERALIZATIONS OF THE HAUSDORFF DIMENSION OF FRACTAL MEASURES
GRASSBERGER, P
论文数:
0
引用数:
0
h-index:
0
GRASSBERGER, P
[J].
PHYSICS LETTERS A,
1985,
107
(03)
: 101
-
105
[7]
GRASSBERGER P, IN PRESS
[8]
Knuth D.E., 1997, ART COMPUTER PROGRAM, V3
[9]
Omohundro S. M., 1987, Complex Systems, V1, P273
[10]
TAKENS F, 1983, 13 AT COL BRAS MAT
←
1
2
→