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Fig. 2

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Rotating ZLK cycle shown in the phase space (left panel) and the Arnold action G* as a function of G(0) (right panel) under the quadrupole-order Hamiltonian flow. See the text for the definition of the Arnold action G*. For the example shown in the left panel, the initial condition is taken as g0 = 0, h0 = 2π, G0 = 0.9950 and H0 = 0.4975.

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