Coupled map lattices as computational systems

The coupled map lattice (CML) as a mathematical model for a computer is considered. Using the theory of synchronous concurrent algorithms, it is shown that the CML is a valid new model for a parallel deterministic analog machine, but that, in principle, such a CML computer does not generate computat...

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Veröffentlicht in:	Chaos (Woodbury, N.Y.) Jg. 2; H. 3; S. 367
Hauptverfasser:	Holden, A. V., Tucker, J. V., Zhang, H., Poole, M. J.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	United States 01.07.1992
ISSN:	1089-7682, 1089-7682
Online-Zugang:	Weitere Angaben
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Beschreibung
Zusammenfassung:	The coupled map lattice (CML) as a mathematical model for a computer is considered. Using the theory of synchronous concurrent algorithms, it is shown that the CML is a valid new model for a parallel deterministic analog machine, but that, in principle, such a CML computer does not generate computations that cannot be reproduced by the standard mathematical models for computing on real numbers. The analysis is based on new general mathematical definitions of CMLs, and an axiomatic approach to determining which models of computation can be used to simulate CMLs.
Bibliographie:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	1089-7682 1089-7682
DOI:	10.1063/1.165879