Statistical properties of flip-flop processes associated to the chaotic behavior of systems with strange attractors
type: Item
instance of: scholarly article
title: Statistical properties of flip-flop processes associated to the chaotic behavior of systems with strange attractors
zbMATH Open document ID: 0615.92007
DOI: 10.1007/BF00318372
author: A. Borsellino
author: Francesca Aicardi
published in: Biological Cybernetics
publication date: 1987-01-01T00:00:00Z
review text: The flip-flop process associated with the dynamics of chaotic systems with two attracting basins is discussed. \textit{Y. Aizawa}, Global aspects of dissipative dynamical systems. Prog. Theor. Phys. 68, 64-84 (1982), declared that for the special case of Lorenz systems and special parameter values the generated flip-flop series was a typical Markov process. The authors of the present paper conclude that for other parameters and for other attractors the system behavior sharply differs from that of a Markov chain. Finally the nature of chaotic processes and how far they can approach Markov processes is studied.
Mathematics Subject Classification ID: 92Cxx
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 92F05
Mathematics Subject Classification ID: 60K99
zbMATH DE Number: 3997595
zbMATH Keywords: strange attractors
zbMATH Keywords: neuronal modeling of transitions
zbMATH Keywords: flip-flop process
zbMATH Keywords: dynamics of chaotic systems
zbMATH Keywords: Lorenz systems
zbMATH Keywords: Markov processes
Wikidata QID: Q68983952
reviewed by: Petr Lansky
MaRDI profile type: Publication
cites work: Global aspects of the dissipative dynamical systems. I: Statistical identification and fractal properties of the Lorenz chaos.
cites work: Deterministic Nonperiodic Flow
cites work: Strange attractors and chaotic motions of dynamical systems
cites work: An equation for continuous chaos
cites work: Q3733844
cites work: Gibbsian distribution on the Lorenz attractor.
full work available at URL: https://doi.org/10.1007/bf00318372
OpenAlex ID: W2048213854
description: scientific article; zbMATH DE number 3997595