Real Multivalued/Parametrized Iteration Groups bo198214 Administrator Posts: 1,624 Threads: 103 Joined: Aug 2007 08/19/2022, 07:47 PM (08/15/2022, 11:49 PM)tommy1729 Wrote: but those iterations probably fail hard on the complex plane ?? that is for complex x and/or s and/or t. regards tommy1729 I am not completely sure what you want to see here. A conformal plot of $S(t+S^{-1}(x))$? This is as close to a conformal plot as I can get:     The left image is transformed to the right image by the half iterate of $-0.5z$. tommy1729 Ultimate Fellow Posts: 1,918 Threads: 414 Joined: Feb 2009 09/10/2022, 11:56 AM (08/19/2022, 07:47 PM)bo198214 Wrote: (08/15/2022, 11:49 PM)tommy1729 Wrote: but those iterations probably fail hard on the complex plane ?? that is for complex x and/or s and/or t. regards tommy1729 I am not completely sure what you want to see here. A conformal plot of $S(t+S^{-1}(x))$? This is as close to a conformal plot as I can get: The left image is transformed to the right image by the half iterate of $-0.5z$. Im talking About the first 2 pictures you Posted in post nr 1. You take real iterations of real imputĀ and notice everything works out Nice when considering both branches .. however when you take real iterations of complex imput , it probably does not work out so well. Or if you take complex iterations of real imput. Or complex iterations of complex imput. « Next Oldest | Next Newest »

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