Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (3): 255-261.

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SOME EXTENDED RESULTS OF “SUBHARMONIC RESONANCE BIFURCATION THEORY OF NONLINEAR MATHIEU EQUATION”

Chen Yu-shu, Zhan Kai-jun   

  1. Tianjin University, Tianjin
  • Received:1989-02-01 Online:1990-03-18 Published:1990-03-18
  • Supported by:

    Supported by the National Natural Science Foundation of China

Abstract: The authors of [1] discussed the subharmonic resonance bifurcation theory of nonlinear Mathieu equation and obtained six bifurcation diagrams in (α,β )-plane. In this paper, we extended the results of[1] and pointed out that there may exist as many as fourteen bifurcation diagrams which are not topologically equivalent to each other.

Key words: diffusive Nicholson’s blowflies equation, nonlocal delay, strong generic kernel, travelling wavefront solution

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