The equation has a global center if and only if a and b satisfy the composition condition a = P(h)h', b = Q(h)h' for polynomials P, Q and trigonometric polynomial h.
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Global Centers in Piecewise linear Differential Equations in the Cylinder
The equation has a global center if and only if a and b satisfy the composition condition a = P(h)h', b = Q(h)h' for polynomials P, Q and trigonometric polynomial h.