Poincaré Map: Difference between revisions
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[[File:Poincare_map.jpg|500px|]] | [[File:Poincare_map.jpg|500px|]] | ||
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>. | 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 11:11, 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.
