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Fig. E.1

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Superimposition of two surfaces of section obtained by H¯Fourier${\bar H_{{\rm{Fourier}}}}$ and H¯Schubart${\bar H_{{\rm{Schubart}}}}$, respectively. The red dots mark the intersection points with the section θ1 = 0 of the flows of the system H¯Fourier${\bar H_{{\rm{Fourier}}}}$ using the initial conditions in the set S1. The black dots mark the intersection points with the section Q¯1=0${\bar Q_1} = 0$ of the flows of the system H¯Schubart${\bar H_{{\rm{Schubart}}}}$ using the initial conditions in the set S2.

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