Poincaré Map: Difference between revisions

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[[File:Poincare_map.jpg|500px|]]
[[File:Poincare_map.jpg]]


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.

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.