Information-Based Partitioning of the Dynamical System’s Domain

Eugene Kagan; Alexander Novoselsky

doi:10.1007/s10955-025-03562-2

Information-Based Partitioning of the Dynamical System’s Domain

Eugene Kagan
, Alexander Novoselsky

Department of Industrial Engineering and Management

Research output: Contribution to journal › Article › peer-review

Abstract

We suggest a method of discretization of the domain of dynamical systems based on observations. The method utilizes ε-entropy, ε-capacity, and the introduced ε-information. It results in the partition of the system’s domain to the cells of equal diameters that allows representation of the system in the terms of discrete dynamics and its numerical analysis and modelling.

Original language	English
Article number	2
Journal	Journal of Statistical Physics
Volume	193
Issue number	1
DOIs	https://doi.org/10.1007/s10955-025-03562-2
State	Published - Jan 2026

Keywords

Dynamical system
Partition
ε-Capacity
ε-Entropy
ε-Information

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10.1007/s10955-025-03562-2

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abstract = "We suggest a method of discretization of the domain of dynamical systems based on observations. The method utilizes ε-entropy, ε-capacity, and the introduced ε-information. It results in the partition of the system{\textquoteright}s domain to the cells of equal diameters that allows representation of the system in the terms of discrete dynamics and its numerical analysis and modelling.",

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Information-Based Partitioning of the Dynamical System’s Domain

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