Tetration Forum › Tetration and Related Topics › Mathematical and General Discussion v
Cyclic dynamics f(-x) = T (f(x))

Linear Mode
Cyclic dynamics f(-x) = T (f(x))
tommy1729 Offline
Ultimate Fellow
*****
Posts: 1,924
Threads: 415
Joined: Feb 2009
#2
08/25/2015, 08:13 AM
The solution seems to be constructible by using again a superfunction.

Example

F(-x) = e F(x)

Ln(-x) = ln(x) + pi i

Exp(x+1) = e exp(x)

So

F = exp(ln(x)/(pi i)) = x^(- 1/pi i)

Regards

Tommy1729
Website Find
Reply


Messages In This Thread
Cyclic dynamics f(-x) = T (f(x)) - by tommy1729 - 08/24/2015, 11:56 PM
RE: Cyclic dynamics f(-x) = T (f(x)) - by tommy1729 - 08/25/2015, 08:13 AM

Possibly Related Threads…
Thread Author Replies Views Last Post
  THE problem with dynamics tommy1729 1 7,681 04/04/2017, 10:52 PM
Last Post: tommy1729
  Dynamics as alternating waves tommy1729 2 8,587 02/13/2017, 01:01 AM
Last Post: tommy1729
  Polygon cyclic fixpoint conjecture tommy1729 1 8,505 05/18/2016, 12:26 PM
Last Post: tommy1729
  Natural cyclic superfunction tommy1729 3 11,186 12/08/2015, 12:09 AM
Last Post: tommy1729
  [2014] " statistical dynamics " tommy1729 0 5,165 08/31/2014, 11:53 PM
Last Post: tommy1729
  new results from complex dynamics bo198214 25 97,710 02/25/2013, 01:42 AM
Last Post: sheldonison
  cyclic points tommy1729 3 11,613 04/07/2011, 07:57 PM
Last Post: JmsNxn
  online-book: Milnor, dynamics in one complex variable bo198214 0 9,685 05/23/2009, 04:21 PM
Last Post: bo198214
  Cyclic complex functions and uniqueness jaydfox 12 37,765 04/24/2008, 08:50 PM
Last Post: bo198214



Users browsing this thread: 1 Guest(s)