07/12/2022, 03:05 AM
(07/03/2022, 01:46 PM)Daniel Wrote: ...
My ultimate sanity test is to prove symbolically that using the Taylor's series for \( f^n(z) \) that \( f^{a+b}(z)-f^{a}(f^{b}(z))=\mathcal{O}(z^k) \). For my check I was able to get to \( \mathcal{O}(z^{29}) \) where the Lyapunov multiplier \( \lambda \) is neither zero or a root of unity and the origin is set to a fixed point not infinity. I used no floating point in my calculations, only rational numbers, so I could obtain an exact answer.
...
No one provided an answer to my question, so I will come at it from another direction. What software that members have written that is based on rational numbers and not floating point?
Daniel