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物理学报 1989
ON THE PHENOMENA OF CHAOS IN A FORCED VIBRATION SYSTEM WITH A SQUARE NONLINEAR TERM
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Abstract:
In this paper, the threshold of chaos in a forced vibration system with a square nonlinear term is given by using the Melnikov method. The effects of parameters on the threshold are analyzed. The known results obtained respectively by approximate 2-D iterated map and by numerically integrating the differential equation are compared with the results here.