Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

HOPF BIFURCATION IN NUMERICAL APPROXIMATION OF THE SUNFLOWER EQUATION

  • Zhang Chunrui (Key Laboratory of Forestry Plant Ecology, Ministry of Education, Northeast Forestry University) ;
  • Zheng Baodong (Department of Mathematics, Harbin Institute of Technology)
  • Published : 2006.09.01

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Abstract

In this paper we consider the numerical solution of the sunflower equation. We prove that if the sunflower equation has a Hopf bifurcation point at a = ao, then the numerical solution with the Euler-method of the equation has a Hopf bifurcation point at ah = ao + O(h).

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