Help with Poincare Maps

borkborkmath

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Mar 4, 2011
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"Suppose f(t,x) is periodic in t with the period 1. Suppose that all solutions of the equations x'=f(t,x) are periodic with the period 1. Calculate the Poincare map p(y). Explain your answer"

I'm not sure where to start with this question. I also tired reading up on Poincare maps but I cannot seem to find a good source of information.
 
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