COLLECTIVE BEHAVIOR IN ONE-DIMENSIONAL LOCALLY COUPLED MAP LATTICES

被引：4

作者：

BINDER, PM

PRIVMAN, V

机构：

[1] Dept. of Theor. Phys., Oxford Univ.

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1992年 / 25卷 / 13期

关键词：

D O I：

10.1088/0305-4470/25/13/004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We observe true and quasiperiod-4 collective evolution of average values in one-dimensional lattices of logistic maps with variable coupling range. The phenomenon appears to be quite prevalent for local coupling beyond nearest neighbours. We find that in one dimension it is easy to visualize the structure of the four (quasi)states; these appear to be quite stable to disturbances such as domain reversals.

引用

页码：L775 / L780

页数：6

共 15 条

[1] STABILITY OF TEMPORALLY PERIODIC STATES OF CLASSICAL MANY-BODY SYSTEMS [J].

BENNETT, CH ;

GRINSTEIN, G ;

YU, H ;

JAYAPRAKASH, C ;

MUKAMEL, D .

PHYSICAL REVIEW A, 1990, 41 (04) :1932-1935

[2]

Berge P., 1984, ORDRE CHAOS

[3] EMERGENCE OF EFFECTIVE LOW-DIMENSIONAL DYNAMICS IN THE MACROSCOPIC BEHAVIOR OF COUPLED MAP LATTICES [J].

CHATE, H ;

MANNEVILLE, P .

EUROPHYSICS LETTERS, 1992, 17 (04) :291-296

[4] EVIDENCE OF COLLECTIVE BEHAVIOR IN CELLULAR AUTOMATA [J].

CHATE, H ;

MANNEVILLE, P .

EUROPHYSICS LETTERS, 1991, 14 (05) :409-413

[5]

CHATE H, 1992, IN PRES PROG THEOR P, V87

[6] ARE ATTRACTORS RELEVANT TO TURBULENCE [J].

CRUTCHFIELD, JP ;

KANEKO, K .

PHYSICAL REVIEW LETTERS, 1988, 60 (26) :2715-2718

[7] NOISY COLLECTIVE BEHAVIOR IN DETERMINISTIC CELLULAR AUTOMATA [J].

GALLAS, JAC ;

GRASSBERGER, P ;

HERRMANN, HJ ;

UEBERHOLZ, P .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1992, 180 (1-2) :19-41

[8]

GALLAS JAC, 1991, HLRZ9391 PREPR

[9]

GROSSMANN S, 1977, Z NATURFORSCH A, V32, P1353

[10]

HEMMINGSSON J, 1991, HLRZ8591 PREPR

← 1 2 →