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Description: Sectionally defined Lyapunov image that uses the C-parameter as a fixed constant - sp basically it is an AB-slice through the 3D Lyapunov space at some z-axis value C.

x0=0.5
initial 500 iterations: if -1 <= x <= -0.4: f(x)=r*x*(1-x) else f(x)=-0.9*sinē(x+r)
computing 1000 iterations: if -0.8 <= x <= -0.2: same
Sequence AABBCC.
AB-Center (2.87/2.87) size=2.27
C fixed at 1.734586
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Views: 19
Total Favorities: 1 View Who Favorited
Filesize: 787.87kB
Height: 1280 Width: 1280
Keywords: Lyapunov 
Posted by: marcm200 March 07, 2019, 03:21:35 PM

Rating: **** by 2 members.
Total Likes: 2

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gerson
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March 07, 2019, 06:31:35 PM
it remembered me and old post that is not Lyapunov but its shapes and colors are very similar
www.deviantart.com/gs13/art/gs-deviant34-157557860
Last modified by: gerson March 07, 2019, 06:32:12 PM
marcm200
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March 07, 2019, 07:15:37 PM
Interesting! Two different fractal systems, similar colors to be judged as best-fitting (I tried blue, golden and green, but nothing looked fine)! I haven't seen this before, neither your image - nor one like this in the normal 2D Lyapunovs, just after adding that constant value. It has some kind of hard-to-focus parts.

Adding a constant in the sequence might be a way to find new images.

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