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)
  • 발행 : 2006.09.01

초록

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).

키워드