Nonlinear oscillations in homogeneous beam-plasma interactions are stu
died with respect to the trapping of beam particles and the velocity d
ifference between the beam and the excited wave. A parameter defined a
s the ratio of bounce to oscillation frequencies divided by velocity s
lippage, is shown to be a good measure for the chaos in the system. Th
e chaotic oscillation with a large value of this parameter is associat
ed with a sideband instability. (C) 1998 Elsevier Science B.V.