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MATHEMATICAL PROBLEMS OF NONLINEARITY
Mathematical Problems of Nonlinearity • March 31st, 2021

Remark 3. It is worth noting that using the sets of symplectic coordinates (2.7) and (2.8), we can parameterize each periodic solution of the Hamiltonian (2.2) in terms of the angle l = l(t). More precisely, if pj(t, ε) = (x1(t, ε), x2(t, ε), y1(t, ε), y2(t, ε)) is the periodic solution associated to the critical point Oj, then

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