A generalized memristor is introduced in Liu-Chen chaotic system for amplitude control. Different from other chaotic systems, the oscillation behavior can be rescaled in amplitude and frequency by three independent controllers. One controls the amplitude of two related variables, and the other two control both amplitude and frequency of some variables. More distinctively, the proposed memristive chaotic system shows abundant coexisting pairs of attractors under the condition of broken symmetry. The circuit experiment based on Multisim agrees with the numerical exploration.