Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (7): 667-671.

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A METHOD TO CALCULATE PERIOD DOUBLING BIFURCATION

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

  1. Anhui University, Hefei
  • Received:1986-04-10 Online:1987-07-18 Published:1987-07-18

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.

Key words: multiplex eigenvalue, eigenvector, eigenvector chain, Jordan canonical form

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