Recent developments in the digital approach of symbolic dynamics
Abstract
Purpose
The purpose of this paper is to explore new mathematical results to advance the understanding of the picture of a chaotic unimodal map.
Design/methodology/approach
Ever since Poicare, deterministic chaos is ultimately connected with exponential divergence of nearby trajectories, unpredictability and erratic behaviour. Here, the authors propose an alternative approach in terms of complexity theory and transcendence.
Findings
In this paper, the authors were able to reproduce previous results easily, due to new theorems.
Originality/value
The paper updates previous results and proposes a more complete understanding of the phenomenon of deterministic chaos, also making possible connections with number theory, combinatorics and possibly quantum mechanics, as in quantum mechanics there does not exist the notion on nearby trajectories.
Keywords
Citation
Karamanos, K., Gkiolmas, A. and Skordoulis, C. (2011), "Recent developments in the digital approach of symbolic dynamics", Kybernetes, Vol. 40 No. 5/6, pp. 921-925. https://doi.org/10.1108/03684921111142476
Publisher
:Emerald Group Publishing Limited
Copyright © 2011, Emerald Group Publishing Limited