CHARACTERIZATION OF CHAOS OF THE LORENZ SYSTEM WITH VELOCITY SHEAR

The chaos motions may appear when the velocity shear damper is add into the Lorenz equation for the Prandtl number a=0.7. The critical Rayleigh number with velocity shear is larger than that without velocity shear. The chaos is aperiodic phenomena. The tra jectary of chaos motions is irregular in phase space. Roads to turbulence have many different kinds. The behaviour is general turbulence when shear is small. The behaviour is intermittent turbulence when shear is large. The behaviour is transient laminar when shear is moderate. The research of chaos motions with velocity shear is of significance for understanding atmospheric turbulence.