A Method to Calculate Period Doubling Bifurcation

Liu Zheng-rong; Zhou Shi-gang; Liu Er-ning

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Article Navigation > Applied Mathematics and Mechanics > 1987 > 8(7): 633-637

Liu Zheng-rong, Zhou Shi-gang, Liu Er-ning. A Method to Calculate Period Doubling Bifurcation[J]. Applied Mathematics and Mechanics, 1987, 8(7): 633-637.

Citation:

Liu Zheng-rong, Zhou Shi-gang, Liu Er-ning. A Method to Calculate Period Doubling Bifurcation[J]. Applied Mathematics and Mechanics, 1987, 8(7): 633-637.

Citation:

Liu Zheng-rong, Zhou Shi-gang, Liu Er-ning. A Method to Calculate Period Doubling Bifurcation[J]. Applied Mathematics and Mechanics, 1987, 8(7): 633-637.

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A Method to Calculate Period Doubling Bifurcation

Anhui University, Hefei

Received Date: 1986-04-10
Publish Date: 1987-07-15

Abstract

Abstract

Based on physical meaning of Melnikov function, we establish a method to calculate period doubling bifurcation and discuss this kind of bifurcation of soft spring Duffing system and find that the result is analogous to subharmonic bifurcation, that is, period doubling bifurcation will appear if damping is small and amplitude of excitation is big. This coincides with facts of physics.

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References(6)

References

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