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 2 real fixpoints ... 3 iterations ? tommy1729 Ultimate Fellow Posts: 1,358 Threads: 330 Joined: Feb 2009 08/08/2009, 11:31 PM ok , first i dont know if this has been asked or answered before , so forgive my ignorance if such is the case. consider an analytic function f(z) , strictly rising on the reals with 2 real fixpoints. now we can use regular iteration for each fixpoint and thus get two ' zones ' that are ' correct ' half-iterates. ( assuming radius = oo too ) sketch : [ - oo .. zone 1 .. fixpoint 1 .. zone 2 .. fixpoint 2 .. zone 3 .. + oo ] when expanded at fixpoint 1 and missing the fixpoint 2 ( and radius oo ) i consider that regular half-iterate as a correct solution to 'zone 1' similarly : when expanded at fixpoint 2 and missing the fixpoint 1 ( and radius oo ) i consider that regular half-iterate as a correct solution to 'zone 3' So the question becomes , what gives zone 2 ? Regards Tommy1729 « Next Oldest | Next Newest »

 Messages In This Thread 2 real fixpoints ... 3 iterations ? - by tommy1729 - 08/08/2009, 11:31 PM RE: 2 real fixpoints ... 3 iterations ? - by bo198214 - 08/09/2009, 12:27 AM RE: 2 real fixpoints ... 3 iterations ? - by tommy1729 - 08/10/2009, 11:03 PM RE: 2 real fixpoints ... 3 iterations ? - by jaydfox - 08/10/2009, 11:20 PM RE: 2 real fixpoints ... 3 iterations ? - by bo198214 - 08/10/2009, 11:45 PM

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