CELLULAR-AUTOMATA IN 1+1, 2+2 AND 3+1 DIMENSIONS, CONSTANTS OF MOTIONAND COHERENT STRUCTURES

Authors
BRUSCHI M SANTINI PM
Citation
M. Bruschi et Pm. Santini, CELLULAR-AUTOMATA IN 1+1, 2+2 AND 3+1 DIMENSIONS, CONSTANTS OF MOTIONAND COHERENT STRUCTURES, Physica. D, 70(1-2), 1994, pp. 185-209
Citations number
45
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Physica. D → ACNP
ISSN journal
01672789
Volume
70
Issue
1-2
Year of publication
1994
Pages
185 - 209
Database
ISI
SICI code
0167-2789(1994)70:1-2<185:CI12A3>2.0.ZU;2-J
Abstract
Extending a procedure introduced in a previous paper, we develop a gen eral method to construct nonlinear cellular automata in arbitrary spac e dimensions from the compatibility of pairs of linear operators, givi ng examples in 1 + 1, 2 + 1 and 3 + 1 dimensions. These cellular autom ata possess a lot of constants of motion and exhibit a vast array of c oherent structures, both particle-like (i.e., localized in space) and wave-like (not localized).