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F.H. Ling, G. Schmidt, and H. Kook attempted to study the critical behaviors of PDB's in coupled oscillators. However, only the critical behaviors near the zero-coupling critical point were considered, because the existence of an infinity of additional critical line segments in the coupled 1D maps was not known at that time. Moreover, without giving any explicit numerical values of the scaling factors, they insisted that the critical behaviors for the zero-coupling case are the same as those of the coupled 1D maps, based on the stability diagram of orbits with only low period 2 and 4 (e.g., see Fig. 1 in their paper)
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