Information-Based Partitioning of the Dynamical System’s Domain

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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’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 languageEnglish
Article number2
JournalJournal of Statistical Physics
Volume193
Issue number1
DOIs
StatePublished - Jan 2026

Keywords

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

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