##  [Poincaré Map](/poincare-map) 

  ##  [Poincaré Map](https://natural.quantumdictionary.io/poincare-map-0) 

  

 [![Natural & Formal Sciences Dictionary](/sites/default/files/styles/large/public/2026-01/Natural%20%26%20Formal%20Sciences.png.webp?itok=2kCDRVQv)](/topic-specific-dictionaries/natural-formal-sciences)



**Natural & Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A discrete-time return map obtained by intersecting trajectories of a continuous-time dynamical system with a chosen transversal section; the map sends each intersection point to the next intersection along the forward flow.