Poincaré Map: Difference between revisions
Jump to navigation
Jump to search
No edit summary |
No edit summary |
||
| (4 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
[[File:Poincare_map.jpg| | [[File:Poincare_map.jpg|700px]] | ||
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. | 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 11:12, 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.
