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Entropy 2018, 20(1), 24; https://doi.org/10.3390/e20010024

High Density Nodes in the Chaotic Region of 1D Discrete Maps

Space Science & Engineering, Southwest Research Institute, San Antonio, TX 78238, USA
Received: 28 October 2017 / Revised: 2 December 2017 / Accepted: 2 January 2018 / Published: 4 January 2018
(This article belongs to the Special Issue Theoretical Aspects of Kappa Distributions)
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Abstract

We report on the definition and characteristics of nodes in the chaotic region of bifurcation diagrams in the case of 1D mono-parametrical and S-unimodal maps, using as guiding example the logistic map. We examine the arrangement of critical curves, the identification and arrangement of nodes, and the connection between the periodic windows and nodes in the chaotic zone. We finally present several characteristic features of nodes, which involve their convergence and entropy. View Full-Text
Keywords: bifurcation; chaos; critical lines; logistic map; nodes; Feigenbaum constant; entropy bifurcation; chaos; critical lines; logistic map; nodes; Feigenbaum constant; entropy
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Livadiotis, G. High Density Nodes in the Chaotic Region of 1D Discrete Maps. Entropy 2018, 20, 24.

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