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A method to calculate period doubling bifurcation |
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| Authors: | Liu Zheng-rong Zhou Shi-gang Liu Er-ning |
| Institution: | Anhui University, Hefei |
| 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. Thi coincides with facts of physics. |
| Keywords: | multiplex eigenvalue eigenvector eigenvector chain Jordan canonical form |
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