One of my professors mentioned that a standard problem in dynamical systems is to show that if two points in your system have the same coding (ie end up in specific regions of the space you're working on) then this coding is periodic. I'm interested in seeing examples of this type of problem, preferably with solutions.
Reference request: coding in dynamical systems
4
$\begingroup$
reference-request
dynamical-systems
-
2I think what you're talking about is [symbolic dynamics](http://en.wikipedia.org/wiki/Symbolic_dynamics). – 2011-07-20
-
0@ChrisTaylor the question is specific and interesting. symbolic dynamics is a whole field of dynamical systems... – 2011-12-04
-
1@Glougloubarbaki I imagine that's why I left it as a comment instead of an answer. – 2011-12-04