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On singular perturbation method of perturbed bifurcation problems

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Abstract

In this paper, the general mathematical principle is overall explained and a new general technique is presented in order to calculate uniformly asymptotic expansions of solutions of the perturbed bifurcation problem (1.6) in the vicinity of y=0, λ=0, δ=0, by means of singular perturbation method. Simultaneously, Newton's polygon[4] is generalized. Finally, the calculating results of two examples are given.

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References

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Authors and Affiliations

  1. Lanzhou University, Lanzhou, China

    Chu Zheng-you & Cheng Chang-jun

Authors
  1. Chu Zheng-you
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  2. Cheng Chang-jun
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Additional information

Communicated by Yeh Kai-yuan.

Presented to the Symposium on Bifurcation, Catastrophe and Stability (New. 1983) Held in Wuhan. This article was communicated by Prof. Wang Ren — Ed.

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Zheng-you, C., Chang-jun, C. On singular perturbation method of perturbed bifurcation problems. Appl Math Mech 5, 1493–1500 (1984). https://doi.org/10.1007/BF01910440

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  • DOI: https://doi.org/10.1007/BF01910440

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