ON THE PHASE-SPACE APPROACH TO COMPLEXITY

被引:75
作者
FOGEDBY, HC
机构
[1] Institute of Physics, University of Aarhus, Aarhus C
关键词
COMPLEXITY; PHASE SPACE; ENTROPY; SIGNALS; PROBABILITY DISTRIBUTION; COARSE GRAINING; REDUCTION FORMULA; CHARACTERISTIC FUNCTION; GAUSSIAN DISTRIBUTION; POWER LAW NOISE; VARIATIONAL PRINCIPLE; 1/F NOISE;
D O I
10.1007/BF01053799
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We elaborate in some detail on a new phase space approach to complexity, due to Y.-C. Zhang. We show in particular that the connection between maximal complexity and power law noise or correlations can be derived from a simple variational principle. For a 1D signal we find 1/f noise, in accordance with Zhang.
引用
收藏
页码:411 / 425
页数:15
相关论文
共 16 条
[1]   COMPLEXITY AND THE RELAXATION OF HIERARCHICAL STRUCTURES [J].
BACHAS, CP ;
HUBERMAN, BA .
PHYSICAL REVIEW LETTERS, 1986, 57 (16) :1965-1969
[2]   SELF-ORGANIZED CRITICALITY [J].
BAK, P ;
TANG, C ;
WIESENFELD, K .
PHYSICAL REVIEW A, 1988, 38 (01) :364-374
[3]   SELF-ORGANIZED CRITICALITY - AN EXPLANATION OF 1/F NOISE [J].
BAK, P ;
TANG, C ;
WIESENFELD, K .
PHYSICAL REVIEW LETTERS, 1987, 59 (04) :381-384
[4]   ENTROPY OF SYMBOLIC SEQUENCES - THE ROLE OF CORRELATIONS [J].
EBELING, W ;
NICOLIS, G .
EUROPHYSICS LETTERS, 1991, 14 (03) :191-196
[5]  
Feder J., 1988, FRACTALS
[6]  
Feller W., 1968, INTRO PROBABILITY TH, VII
[7]  
GRASSBERGER P, 1989, RANDOMNESS INFORMATI
[8]  
GRASSBERGER P, 1990, CELLULAR AUTOMATA
[9]   ATTRACTORS ON FINITE SETS - THE DISSIPATIVE DYNAMICS OF COMPUTING STRUCTURES [J].
HOGG, T ;
HUBERMAN, BA .
PHYSICAL REVIEW A, 1985, 32 (04) :2338-2346
[10]   COMPLEXITY AND ADAPTATION [J].
HUBERMAN, BA ;
HOGG, T .
PHYSICA D-NONLINEAR PHENOMENA, 1986, 22 (1-3) :376-384