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We report the mechanism of the hysteresis in the transition between Regularand Mach reflections. A new discovery is that, the hysteresis loop is in factthe projection of a higher dimensional path, i.e. the valley lines in thesurface of dissipation, of which minimal values correspond to stable reflectionconfigurations. Since the saddle-nodes bifurcate the valleies of the surface,they are actually the transition points of the two reflections. Furthermore,the predicted reflection configurations agree well with the experimental andnumerical results, which is a validation of this theory.

Origin of hysteresis in shock wave reflection