Recurrence and Topology by John M. Alongi, Gail S. Nelson

S' by p(x) = x mod 27rZ. Consider the differential equation x = sin2(p(x)) on R and its corresponding flow V satisfying gt(p(x)) = p(,Dt(x)) for all real numbers x and t. Let 0 be a periodic point of Ot, and let x E P-1(0).

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