Preprint
Article

Discretization of Dynamical Systems Based on Observations

Altmetrics

Downloads

39

Views

156

Comments

0

This version is not peer-reviewed

Submitted:

11 December 2024

Posted:

12 December 2024

You are already at the latest version

Alerts
Abstract
Based on the observations of dynamical system, we define partition ξ_ε, which represents dynamical system as good as possible in the sense of its entropy. The suggested method utilizes ε-entropy, ε-capacity, and the introduced ε-information. The resulting algorithm is also useful for defining bin lengths of histograms, especially for multimodal distributions.
Keywords: 
Subject: Computer Science and Mathematics  -   Applied Mathematics
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
Prerpints.org logo

Preprints.org is a free preprint server supported by MDPI in Basel, Switzerland.

Subscribe

© 2024 MDPI (Basel, Switzerland) unless otherwise stated