One-Dimensional Maps

Andrew Fowler () and Mark McGuinness
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Andrew Fowler: University of Limerick, MACSI
Mark McGuinness: Victoria University of Wellington, School of Mathematics and Statistics

Chapter Chapter 2 in Chaos, 2019, pp 21-47 from Springer

Abstract: Abstract The theory of chaos in one-dimensional maps is described. We start with the basic bifurcations, following which there is an extended discussion of period-doubling sequences and the Feigenbaum conjectures. There follows an extended discussion of kneading theory, culminating with a statement of Sarkovskii’s ordering of the periodic orbits of unimodal maps.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-32538-1_2

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DOI: 10.1007/978-3-030-32538-1_2

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