Abstract
This paper is a numerical study about the Duffing's equation with pulsating external force. Our previous paper about vibration cutting showed that chaotic motion arised in cutting system turned into cyclic motion by the addition of pulsating cutting force. Therefore, we assume that the pulsating force is able to suppress chaotic vibration in nonlinear systems. In this paper, we change the continuous external force in Duffing's equation into the pulsating external force, and show that the chaotic behavior turns into cyclic behavior just as in the case of the vibration cutting system. Moreover, we add the pulsating force to the continuous external force, and show that the similar effect occurs. These result suggests that there is a possibility that the adding pulsating force is the effective method to control chaotic behaviors.
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