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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Published in:Chaos (Woodbury, N.Y.) Vol. 2; no. 3; p. 367
Main Authors: Holden, A. V., Tucker, J. V., Zhang, H., Poole, M. J.
Format: Journal Article
Language:English
Published: United States 01.07.1992
ISSN:1089-7682, 1089-7682
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Abstract 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.
AbstractList 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.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.
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.
Author Holden, A. V.
Zhang, H.
Poole, M. J.
Tucker, J. V.
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  organization: Department of Physiology, University of Leeds, Leeds LS2 9JT, United KingdomDepartment of Mathematics and Computer Science, University College of Swansea, Swansea SA2 8PP, United KingdomDepartment of Physiology, University of Leeds, Leeds LS2 9JT, United KingdomDepartment of Mathematics and Computer Science, University College of Swansea, Swansea SA2 8PP, United Kingdom
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  givenname: M. J.
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BackLink https://www.ncbi.nlm.nih.gov/pubmed/12779986$$D View this record in MEDLINE/PubMed
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