2ND-ORDER DYNAMICS IN THE COLLECTIVE TEMPORAL EVOLUTION OF COMPLEX-SYSTEMS

被引：15

作者：

BINDER, PM

PRIVMAN, V

机构：

[1] Department of Physics, Theoretical Physics, University of Oxford, Oxford OX1 3NP

来源：

PHYSICAL REVIEW LETTERS | 1992年 / 68卷 / 26期

关键词：

D O I：

10.1103/PhysRevLett.68.3830

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Dynamics involving a discrete second-order time derivative captures many essential, previously unexplained features of the collective behavior of complex, spatially extended systems such as cellular automata and coupled-map lattices. We argue that irrational frequencies can emerge from discrete-time dynamics, and that the second-order dynamics makes previous droplet-type arguments irrelevant for these models. These findings are supported by numerical examples.

引用

页码：3830 / 3833

页数：4

共 19 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]

BENNETT CH, 1989, CELLULAR AUTOMATA MO

[3] ADDITION [J].

BINDER, PM .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (07) :1677-1679

[4] TOPOLOGICAL CLASSIFICATION OF CELLULAR AUTOMATA [J].

BINDER, PM .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (01) :L31-L34

[5]

BINDER PM, UNPUB J STAT PHYS

[6]

BINDER PM, IN PRESS J STAT PHYS

[7]

BINDER PM, IN PRESS J PHYS A

[8] COLLECTIVE BEHAVIORS IN SPATIALLY EXTENDED SYSTEMS WITH LOCAL INTERACTIONS AND SYNCHRONOUS UPDATING [J].

CHATE, H ;

MANNEVILLE, P .

PROGRESS OF THEORETICAL PHYSICS, 1992, 87 (01) :1-60

[9] 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

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

CHATE, H ;

MANNEVILLE, P .

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

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