Mathematics – Dynamical Systems
Scientific paper
2009-05-08
Mathematics
Dynamical Systems
7 pages
Scientific paper
A sequence of non-negative integers is exactly realizable as the fixed point counts sequence of a dynamical system if and only if it gives rise to a sequence of non-negative orbit counts. This provides a simple realizability criterion based on the transformation between fixed point and orbit counts. Here, we extend the concept of exact realizability to realizability of integer sequences as differences of the two fixed point counts sequences originating from a dynamical system and a topological factor. A criterion analogous to the one for exact realizability is given and the structure of the resulting set of integer sequences is outlined.
No associations
LandOfFree
Realizability of integer sequences as differences of fixed point count sequences does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Realizability of integer sequences as differences of fixed point count sequences, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Realizability of integer sequences as differences of fixed point count sequences will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-703354