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Hysteresis Effect in the Resonant Response of the Nonneutral plasma Wave

Nonlinear resonant responses were studied by sweeping frequency of external oscillations for the fundamental axisymmetric plasma wave in a nonneutral plasma. Hysteresis phenomena were observed with increasing in the external amplitudes. The results were well explained by the forced nonlinear oscillation model. hysteresis effect. We present the experimental results on the hysteresis effect in nonneutral electron plasma waves. We swept slowly up and down the external driving frequency through the resonance of the modes. Sweeping the frequency upward enhanced the maximum response amplitude compared with that in the downward sweep. The jump like behavior of the response amplitude was also observed. Thus, the observed resonant response exhibited the feature of the hysteresis. The observed hysteresis was compared and discussed with the well known Duffing oscillator model. We focused on the nonlinear response for the n = I axisymmetric electrostatic wave, which corresponds to the center-of-mass motion of the plasma in the axial direction. The wave is relatively stable even with large amplitudes. In contrast with the fundamental mode, waves with higher mode numbers (n < l,) easily decay to other waves via three and/or four wave interactions (1). These effects are significant obstruct of the nonlinear resonant response since they cause drastic