Stable, multi-state, time-reversible cellular automata with rich particle content

M. J. Ablowitz; J. M. Keiser; L. A. Takhtajan

doi:10.1080/16073606.1992.9631695

Stable, multi-state, time-reversible cellular automata with rich particle content

M. J. Ablowitz
, J. M. Keiser
, L. A. Takhtajan

Mathematics

University of Colorado Boulder

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We discuss a new class of stable multi-state Cellular Automata (CA). The CA significantly extends the two-state, time-irreversible CA proposed by Park, Steiglitz, and Thurston by providing for arbitrary numbers of states as well as time-reversibility. These new CA are dynamical systems possessing an enormous array of coherent particle-like structures. The particle interaction picture is surprisingly rich and includes particle production as well. 1980 Mathematics Subject Classification (1985 Revision). 58308.

Original language	English
Pages (from-to)	325-343
Number of pages	19
Journal	Quaestiones Mathematicae
Volume	15
Issue number	3
DOIs	https://doi.org/10.1080/16073606.1992.9631695
State	Published - Jul 1992

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10.1080/16073606.1992.9631695

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abstract = "We discuss a new class of stable multi-state Cellular Automata (CA). The CA significantly extends the two-state, time-irreversible CA proposed by Park, Steiglitz, and Thurston by providing for arbitrary numbers of states as well as time-reversibility. These new CA are dynamical systems possessing an enormous array of coherent particle-like structures. The particle interaction picture is surprisingly rich and includes particle production as well. 1980 Mathematics Subject Classification (1985 Revision). 58308.",

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AB - We discuss a new class of stable multi-state Cellular Automata (CA). The CA significantly extends the two-state, time-irreversible CA proposed by Park, Steiglitz, and Thurston by providing for arbitrary numbers of states as well as time-reversibility. These new CA are dynamical systems possessing an enormous array of coherent particle-like structures. The particle interaction picture is surprisingly rich and includes particle production as well. 1980 Mathematics Subject Classification (1985 Revision). 58308.

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Stable, multi-state, time-reversible cellular automata with rich particle content

Abstract

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