08/17/2022, 09:21 AM
It seems I lost my PC's memories about the iteration plots, I had to compute them again
for sin(z) generated from the parabolic fixed point z=0: (the gifs so large!)
p1~p5 \(z\in\{z|-2\pi\le \Re(z),\Im(z)\le 2\pi\}\)
p1: \(sin^t(z), t\in[-1,1]\)
p2: \(sin^{e^{i\theta}}(z), \theta\in[0,2\pi]\)
p3: \(sin^t(z), t\in[-2,0]\)
p4: \(sin^t(z), t\in[0,2]\)
p5: \(sin^{it}(z), t\in[-1,1]\)
(to balance the file size and the accuracy the images are very blurry)
for sin(z) generated from the parabolic fixed point z=0: (the gifs so large!)
p1~p5 \(z\in\{z|-2\pi\le \Re(z),\Im(z)\le 2\pi\}\)
p1: \(sin^t(z), t\in[-1,1]\)
p2: \(sin^{e^{i\theta}}(z), \theta\in[0,2\pi]\)
p3: \(sin^t(z), t\in[-2,0]\)
p4: \(sin^t(z), t\in[0,2]\)
p5: \(sin^{it}(z), t\in[-1,1]\)
(to balance the file size and the accuracy the images are very blurry)
Regards, Leo 