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Conflict between formation of a cyclonic vortex and isotropization in forcedhomogeneous rotating turbulence is numerically investigated. It is well knownthat a large rotation rate of the system induces columnar vortices to result inquasi-two-dimensional (Q2D) flow, while a small rotation rate allows turbulenceto be three-dimensional (3D). It is found that the transition from the Q2Dturbulent flow to the 3D turbulent flow and the reverse transition occur atdifferent values of the rotation rates. At the intermediate rotation rates,bistability of these two statistically steady states is observed. Suchhysteretic behavior is also observed for the variation of the amplitude of anexternal force.

Hysteretic behavior between quasi-two-dimensional flow and three-dimensional flow in forced rotating turbulence