The Gauss Map
A 1-dimensional map with chaotic solutions for some parameter values. This shows the first circa 1,000 iterations, with value (x) on the vertical access) and "time" (strictly, iteration number, N) on the horizontal access, for a chaotic example. Each point is given a large circular marker, such that markers overlap to the extent that the grey background is almost completely covered and is only visible in rare and small areas. The colour of each marker is determined by a set of RGB triples. The R channel goes from 0 to 1 on the horizontal axis. The G channel cycles from 0 to 1 in 23 steps, repeatedly, hence not mapping to either axis. The B channel goes from 0 to 1 on the vertical axis.
A 1-dimensional map with chaotic solutions for some parameter values. This shows the first circa 1,000 iterations, with value (x) on the vertical access) and "time" (strictly, iteration number, N) on the horizontal access, for a chaotic example. Each point is given a large circular marker, such that markers overlap to the extent that the grey background is almost completely covered and is only visible in rare and small areas. The colour of each marker is determined by a set of RGB triples. The R channel goes from 0 to 1 on the horizontal axis. The G channel cycles from 0 to 1 in 23 steps, repeatedly, hence not mapping to either axis. The B channel goes from 0 to 1 on the vertical axis.
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