Periods of orbits for maps on graphs homotopic to a constant map

Details Periods of orbits for maps on graphs homotopic to a constant map Periods of orbits for maps on graphs homotopic to a constant map

2011-08-14

arxiv.org/abs/1108.2899v3

Mathematics

Dynamical Systems

15 pages, 1 figure

Scientific paper

The paper proves two theorems concerning the set of periods of periodic orbits for maps of graphs that are homotopic to the constant map and such that the vertices form a periodic orbit. The first result is that if $v$ is not a divisor of $2^k$ then there must be a periodic point with period $2^k$. The second is that if $v=2^ks$ for odd $s>1$, then for all $r>s$ there exists a periodic point of minimum period $2^k r$. These results are then compared to the Sharkovsky ordering of the positive integers. (The final version of this paper will appear in the Journal of Difference Equations and Applications.)

Affiliated with

Also associated with

No associations

Rating

Periods of orbits for maps on graphs homotopic to a constant map 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 Periods of orbits for maps on graphs homotopic to a constant map, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Periods of orbits for maps on graphs homotopic to a constant map will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-712473