The Minimal Number of Periodic Orbits of Periods Guaranteed in Sharkovskii's Theorem

Details The Minimal Number of Periodic Orbits of Periods Guaranteed in Sharkovskii's Theorem The Minimal Number of Periodic Orbits of Periods Guaranteed in Sharkovskii's Theorem

2007-06-15

arxiv.org/abs/0706.2297v1

Bull. Austral. Math. Soc. 31(1985), 89-103. Corrigendum: 32 (1985), 159

Mathematics

Dynamical Systems

11 pages

Scientific paper

Let f(x) be a continuous function from a compact real interval into itself with a periodic orbit of minimal period m, where m is not an integral power of 2. Then, by Sharkovsky's theorem, for every positive integer n with m \prec n in the Sharkovsky's ordering defined below, a lower bound on the number of periodic orbits of f(x) with minimal period n is 1. Could we improve this lower bound from 1 to some larger number? In this paper, we give a complete answer to this question.

Affiliated with

Also associated with

No associations

Rating

The Minimal Number of Periodic Orbits of Periods Guaranteed in Sharkovskii's Theorem 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 The Minimal Number of Periodic Orbits of Periods Guaranteed in Sharkovskii's Theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Minimal Number of Periodic Orbits of Periods Guaranteed in Sharkovskii's Theorem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-549652