Energy and information of chaotic dynamical systems
type: Item
instance of: scholarly article
title: Energy and information of chaotic dynamical systems
zbMATH Open document ID: 1020.37012
DOI: 10.1016/S0960-0779(01)00005-4
published in: Chaos, Solitons and Fractals
publication date: 2003-03-19T00:00:00Z
review text: It is postulated that a basic process operates on a minimal time-scale \(\Delta_0>0\) and its dynamics is governed over a space \(X\) by a nonlinear transformation \(\tau_{\Delta_0}\: X\to X\) which is manifested as a chaotic process \(\tau_\Delta =\tau_{\Delta_0}^N\) on a large observable time-scale \(\Delta=N\Delta_0\). It is assumed that \(\tau_\Delta\) possesses on observable measure \(\mu_\Delta\). Then the average energy \(E_\Delta\) and information \(I_\Delta\) is defined for the given dynamical system \((X,\tau_\Delta, \mu_\Delta)\). The conservation of energy is proved. It is also shown that \(E_\Delta = KI_\Delta^2\) for a constant \(K\). This allows the estimation of the information content of matter.
reviewed by: Michal Fečkan
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37N20
Mathematics Subject Classification ID: 37A60
Mathematics Subject Classification ID: 82B03
zbMATH DE Number: 1884656
zbMATH Keywords: minimal time-scale
zbMATH Keywords: chaotic process
zbMATH Keywords: energy
zbMATH Keywords: information
author: Abraham Boyarsky
author: Paweł Góra
MaRDI profile type: Publication
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Wikidata QID: Q127087429
full work available at URL: s0960-0779(01)00005-4
OpenAlex ID: W1991361843
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description: scientific article; zbMATH DE number 1884656