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Coupled one-dimensional dynamical systems | | Chris Preston
; | | Date: |
19 Jan 2012 | | Abstract: | This note aims to bring attention to a simple class of discrete dynamical
systems exhibiting some complex behaviour. Each of these systems is defined as
a self-mapping of the unit square and is obtained by coupling two families of
self-mappings of the unit interval. There is no real mathematics to be found
here (in the sense of results stated and proved) and in fact there is an almost
complete lack of precise statements. The only thing on offer is the definition
of the mappings and a few nice pictures showing examples of their asymptotic
limit sets. There is a JavaScript program available, accessible at
www.math.uni-bielefeld.de/~preston/iterates.html, which can be used to
’discover’ more about these mappings. The program might prove to be helpful for
anyone interested in doing this. | | Source: | arXiv, 1201.4008 | | Services: | Forum | Review | PDF | Favorites | |
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