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Does anyone have an alrorithm or a code (in any language) that constructs a Poincare surface of section?

I want to do so for a Hamiltonian model: A mass under the influense of the Henon-Heiles potential. It has to include a symplectic algorithm for the integration of the equations of motion ,but that is no problem. The general idea of the P. surface, is what I'm having problem with.

So even a hint with what it's need to be done to construct it would be fine.

Thanks

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# Numerical Analysis - Construction of a Poincare surface of section

Can you offer guidance or do you also need help?

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