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$Old$ November 3rd, 2009, 12:28 AM

Nusc $Nusc is offline$

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$Question$ Poincare Map

Let z=u', then z'=u''=-exp(x)*u.

So the planar system is {u'=z,z'=-exp(x)*u}, or in matrix form, U'=A*U, where U is the column vector (u,z) and A is the 2x2 matrix (0,1,-exp(x),0).

What can be said about the Poincare return map on the transversal u>0?

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