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物理学报  1989 

ON THE PHENOMENA OF CHAOS IN A FORCED VIBRATION SYSTEM WITH A SQUARE NONLINEAR TERM
关于含二次非线性项受迫振动系统的混沌现象

Keywords: 受迫振动,混沌现象,混沌阈值

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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.

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