The dynamics of fractals

被引：8

作者：

Bak, P

Paczuski, M

机构：

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 1995年 / 3卷 / 03期

关键词：

D O I：

10.1142/S0218348X95000345

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Fractals are formed by avalanches, driving the system toward a critical state. This critical state is a fractal in d spatial plus one temporal dimension. Long range spatial and temporal properties are described by different cuts in this fractal attractor. We unify the origin of fractals, 1/f noise, Hurst exponents, Levy flights, and punctuated equilibria in terms of avalanche dynamics, and elucidate their relationships through analytical and numerical studies of simple models.

引用

页码：415 / 429

页数：15

共 43 条

[1]

Bai-Lin H., 1984, CHAOS

[2] PUNCTUATED EQUILIBRIUM AND CRITICALITY IN A SIMPLE-MODEL OF EVOLUTION [J].

BAK, P ;

SNEPPEN, K .

PHYSICAL REVIEW LETTERS, 1993, 71 (24) :4083-4086

[3] SELF-ORGANIZED CRITICALITY [J].

BAK, P ;

TANG, C ;

WIESENFELD, K .

PHYSICAL REVIEW A, 1988, 38 (01) :364-374

[4] SELF-ORGANIZED CRITICALITY - AN EXPLANATION OF 1/F NOISE [J].

BAK, P ;

TANG, C ;

WIESENFELD, K .

PHYSICAL REVIEW LETTERS, 1987, 59 (04) :381-384

[5] WHY NATURE IS COMPLEX [J].

BAK, P ;

PACZUSKI, M .

PHYSICS WORLD, 1993, 6 (12) :39-43

[6]

BAK P, 1994, FRACTALS DISORDERED, V2

[7]

BAK P, 1995, P NAT ACAD SCI JUL

[8]

BARTON CC, 1994, FRACTALS EARTH SCI

[9]

BOETTCHER S, PREPRINTS

[10]

COLEMAN PH, 1988, ASTRON ASTROPHYS, V200, pL32

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