2019-02-28 04:53:24 -0500 | received badge | ● Student (source) |

2019-02-27 11:03:39 -0500 | asked a question | Class returning coordinates of iteration maps in a dynamical system Hi, I'm using sage to study certain rational maps in $1$ dimensional projective space. Specifically I'd like to calculate coordinate maps of $n$-th iteration. I know that there are nth_iterate and nth_iterate_map classes but it seems that nth_iterate class only works on specific points and nth_iterate_map class returns the whole dynamical system, not the coordinate maps. For example, if we define
then
gives an error that it is unable to convert x to an element of Algebraic Field, and
gives a dynamical system as follows.
What I want is a class, or any method, that returns coordinate maps, probably as a list of maps in $x$ and $y$, of $n$-th iteration. In the previous example, it should return a list $[x^4,y^4]$. Any help will be appreciated. Thanks in advance! |

Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.