Math 2.0

Dynamical systems and ergodic theory Basic notions Concept

Minimal period

Summary

The minimal period, or prime period, of a periodic point is the least number of steps after which it returns to itself. It equals the number of distinct points in its orbit. Every period of the point is a multiple of the minimal period. Results such as Sharkovskii's theorem are stated in terms of minimal periods.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Periodic_point
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