PERIODIC AND QUASIPERIODIC TIME-DEPENDENT BEHAVIOR IN COLLECTIVE ORDERED PHASES-Reference-Cited by-同舟云学术

PERIODIC AND QUASIPERIODIC TIME-DEPENDENT BEHAVIOR IN COLLECTIVE ORDERED PHASES

Published:1992-04 Issue:02 Volume:03 Page:347-365
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

GALLAS JASON A.C.¹²,BOURBONNAIS ROCH¹³,HERRMANN HANS J.¹

Affiliation:

1. Höchstleistungsrechenzentrum (HLRZ), KFA, 5170 Jülich, Germany

2. Laboratório de Óptica Quântica da UFSC, 88049 Fhrianópolis, Brazil

3. Thinking Machines Corporation, 245 First Street, Cambridge, MA 02142–1214, USA

Abstract

We investigate numerically totalistic cellular automata rules in four and five dimensions that have been recently proposed by Chaté and Manneville and that show periodic or quasiperiodic time sequences in the magnetization. We show how to implement such rules fast on a Connection Machine. We confirm the proposed behavior by analyzing the time and size dependence of the distance from the attractor. Also the dependence of the initial configuration, the behavior of very small systems and mean-field calculations are presented.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183192000282

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