# Orbits, fixed points and periodic points

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Orbits, fixed points and periodic points](https://ocme.evemisslab.com/en/atlas/atlas-orbit-fixed-periodic/)

Repeated iteration of a self-map forms an orbit. Fixed points have period 1; the least positive period of a periodic point must be distinguished from an arbitrary return time.

atlas-orbit-fixed-periodic · canonical_mko

[Orbits, fixed points and periodic points](https://ocme.evemisslab.com/en/mko/mko-orbit-fixed-periodic/)

## Prerequisite nodes


- [Discrete-time dynamical system](https://ocme.evemisslab.com/en/atlas/atlas-discrete-dynamical-system/)
- [Sequence](https://ocme.evemisslab.com/en/atlas/atlas-sequence/)
- [Equation](https://ocme.evemisslab.com/en/atlas/atlas-equation/)