Dynamic system evolution and markov chain approximation

In this paper computational aspects of the mathematical modelling of dynamic system evolution have been considered as a problem in information theory. The construction of mathematical models is treated as a decision making process with limited available information.The solution of the problem is ass...

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Bibliographic Details
Main Author: Roderick V. Nicholas Melnik
Format: Article
Language:English
Published: Wiley 1998-01-01
Series:Discrete Dynamics in Nature and Society
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Online Access:http://dx.doi.org/10.1155/S1026022698000028
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Summary:In this paper computational aspects of the mathematical modelling of dynamic system evolution have been considered as a problem in information theory. The construction of mathematical models is treated as a decision making process with limited available information.The solution of the problem is associated with a computational model based on heuristics of a Markov Chain in a discrete space–time of events. A stable approximation of the chain has been derived and the limiting cases are discussed. An intrinsic interconnection of constructive, sequential, and evolutionary approaches in related optimization problems provides new challenges for future work.
ISSN:1026-0226
1607-887X