Dynamic system evolution and markov chain approximation. Issue 1 (1998)

• Record Type: Journal Article
• Authors: Melnik, Roderick V. Nicholas
• Is Part Of: Discrete dynamics in nature and society. Volume 2:Issue 1(1998)
• Page Start: 7
• Page End: 39
• Publication Date: 1998
• Subjects: Decision making with limited information -- Optimal control theory -- Hyperbolicity of dynamic rules -- Generalized dynamic systems -- Markov Chain approximation; System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/S1026022698000028
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : 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.