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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| Format: | Article |
| Language: | English |
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Wiley
1998-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S1026022698000028 |
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| _version_ | 1832545432346034176 |
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| author | Roderick V. Nicholas Melnik |
| author_facet | Roderick V. Nicholas Melnik |
| author_sort | Roderick V. Nicholas Melnik |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-530cfbf7c13a4f3ca6e02654b57d0781 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-530cfbf7c13a4f3ca6e02654b57d07812025-02-03T07:25:47ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X1998-01-012173910.1155/S1026022698000028Dynamic system evolution and markov chain approximationRoderick V. Nicholas Melnik0Mathematical Modelling & Numerical Analysis Group, Department of Mathematics and Computing, University of Southern Queensland, QLD 4350, AustraliaIn 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.http://dx.doi.org/10.1155/S1026022698000028Decision making with limited informationOptimal control theoryHyperbolicity of dynamic rulesGeneralized dynamic systemsMarkov Chain approximation. |
| spellingShingle | Roderick V. Nicholas Melnik Dynamic system evolution and markov chain approximation Discrete Dynamics in Nature and Society Decision making with limited information Optimal control theory Hyperbolicity of dynamic rules Generalized dynamic systems Markov Chain approximation. |
| title | Dynamic system evolution and markov chain approximation |
| title_full | Dynamic system evolution and markov chain approximation |
| title_fullStr | Dynamic system evolution and markov chain approximation |
| title_full_unstemmed | Dynamic system evolution and markov chain approximation |
| title_short | Dynamic system evolution and markov chain approximation |
| title_sort | dynamic system evolution and markov chain approximation |
| topic | Decision making with limited information Optimal control theory Hyperbolicity of dynamic rules Generalized dynamic systems Markov Chain approximation. |
| url | http://dx.doi.org/10.1155/S1026022698000028 |
| work_keys_str_mv | AT roderickvnicholasmelnik dynamicsystemevolutionandmarkovchainapproximation |