Take the 2-minute tour ×  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.  share|improve this
question I think what you're talking about is symbolic dynamics.
–  Chris Taylor Jul 20 '11 at 23:04 @ChrisTaylor the question is
specific and interesting. symbolic dynamics is a whole field of
dynamical systems... –  Glougloubarbaki Dec 4 '11 at 18:29
@Glougloubarbaki I imagine that's why I left it as a comment
instead of an answer. –  Chris Taylor Dec 4 '11 at 23:02  1
Answer 1  In neural networks, a number of invariances exist that
can be used to show that NNs in general do not have unique
solutions. NNs can be thought of as dynamical systems without
feedback -- the inputs act as parameters to the system, and the
weights themselves are the system