Author:
Karamanos Kostas,Gkiolmas Aristotelis,Skordoulis Constantine
Abstract
PurposeThe purpose of this paper is to explore new mathematical results to advance the understanding of the picture of a chaotic unimodal map.Design/methodology/approachEver 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.FindingsIn this paper, the authors were able to reproduce previous results easily, due to new theorems.Originality/valueThe 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.
Subject
Computer Science (miscellaneous),Social Sciences (miscellaneous),Theoretical Computer Science,Control and Systems Engineering,Engineering (miscellaneous)
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