File:Markus-Ljapunow Exponent 8.jpg

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Original file (3,276 × 3,830 pixels, file size: 4.69 MB, MIME type: image/jpeg)

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Summary

Description
English: The picture was constructed with an iterative equation of the form where is a parameter that varies periodically between two values A and B. An exponent on A or B indicates a consecutive repetion of A or B, as given by the exponent. Example: A with exponent 4 means to be an r-sequence AAAA. The parameter A corresponds to the x-axis of the picture and B to the y-axis. is given by te following formula:


The exponential growth of a small perturbation is determined for each point in the picture, i.e. for each pair (A,B). The value of the resulting exponent (Markus-Lyapunov exponent) is show with a color.
Date
Source Own work
Author Mario Markus

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1 January 2017

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4,920,536 byte

3,830 pixel

3,276 pixel

8080b9bbe750198fa7fdffda9be1d17a2b4e75e1

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Date/TimeThumbnailDimensionsUserComment
current20:00, 28 September 2022Thumbnail for version as of 20:00, 28 September 20223,276 × 3,830 (4.69 MB)wikimediacommons>Mario MarkusUploaded while editing "Mario Markus (Physiker)" on de.wikipedia.org

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