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The ion motion in the presence of linear polarized Alfvén waves is studied. For a linearly polarized wave,nonlinear resonances can occur when the amplitude of Alfvén wave is large enough. Under certain conditions, these resonances can overlap and thus make the ion motion chaotic. In this process, the plasma can be heated without the limitation of cyclotron resonant condition. Taking into account ofa spectrum of waves, the stochastic condition can decrease largely. In addition, the preferential heating can be found in the perpendicular direction.