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The generation of the entanglement between two two-level atoms interacting with the third atom driven by white noise is investigated when the coupling between atoms is modulated by a pulse function.This paper finds that the initial triggering time and the width of the pulse call generate a peak in the entanglement.There is an optimal width of the pulse for which the entanglement can reach a maximum.The asymmetry of the coupling between atoms can generate different entanglement in the system.The multiple triggers can generate multiple peaks in the entanglement.The separation between two peaks is increased as the width of the pulse is increased.