Poincaré Map: Difference between revisions

From Fluids Wiki
Jump to navigation Jump to search
No edit summary
No edit summary
 
(5 intermediate revisions by the same user not shown)
Line 1: Line 1:
[[File:Poincare_map.jpg|500px|]]
[[File:Poincare_map.jpg|700px]]


The Pioncaré map takes the point <math>x</math> in the Poincaré section <math>S</math> from <math>x</math> to <math>x'</math> and from <math>x'</math> to <math>x''</math>.
The Poincaré map takes the point <math>x</math> in the Poincaré section <math>S</math> from <math>x</math> to <math>x'</math> and from <math>x'</math> to <math>x''</math>.  Note how the Poincaré section cuts across the same integral curve several times, and the Poincaré map takes values on the intersection of the integral curve with the Poincaré section.

Latest revision as of 12:12, 30 June 2015

The Poincaré map takes the point in the Poincaré section from to and from to . Note how the Poincaré section cuts across the same integral curve several times, and the Poincaré map takes values on the intersection of the integral curve with the Poincaré section.