Poincaré Map: Difference between revisions
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[[File:Poincare_map.jpg | [[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.
