CLASS OF STABLE MULTISTATE TIME-REVERSIBLE CELLULAR AUTOMATA WITH RICH PARTICLE CONTENT

被引:25
作者
ABLOWITZ, MJ
KEISER, JM
TAKHTAJAN, LA
机构
[1] Program in Applied Mathematics, University of Colorado, Boulder
来源
PHYSICAL REVIEW A | 1991年 / 44卷 / 10期
关键词
D O I
10.1103/PhysRevA.44.6909
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
An alternative class of stable multistate cellular automata (CA) is derived. They serve to significantly extend the two-state, time-irreversible CA proposed by Park, Steiglitz, and Thurston [Physica D 19, 423 (1986)]. These CA are time-reversible dynamical systems possessing an enormous array of coherent particlelike structures. The particle-interaction picture is suprisingly rich and includes particle production as well.
引用
收藏
页码:6909 / 6912
页数:4
相关论文
共 8 条
[1]  
ABLOWITZ MJ, 1990, INTEGRABLE SYSTEMS
[2]  
FOKAS AS, 1989, STUD APPL MATH, V81, P153
[3]  
Goldberg C. H., 1988, Complex Systems, V2, P91
[4]  
PAPATHEODOROU TS, 1988, STUD APPL MATH, V79, P173
[5]   SOLITON-LIKE BEHAVIOR IN AUTOMATA [J].
PARK, JK ;
STEIGLITZ, K ;
THURSTON, WP .
PHYSICA D, 1986, 19 (03) :423-432
[6]   EMBEDDING COMPUTATION IN ONE-DIMENSIONAL AUTOMATA BY PHASE CODING SOLITONS [J].
STEIGLITZ, K ;
KAMAL, I ;
WATSON, A .
IEEE TRANSACTIONS ON COMPUTERS, 1988, 37 (02) :138-145
[7]  
WOLFRAM S, 1986, THEORY APPLICATIONS
[8]  
1990, PHYSICA D, V45, P9