Hopf bifurcation in numerical approximation of the sunflower equation |
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| Authors: | Chunrui Zhang Baodong Zheng |
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| Institution: | 1. Key Laboratory of Forestry Plant Ecology, Ministry of Education, Northeast Forestry University, 150040, Harbin, P. R. China
2. Department of Mathematics, Harbin Institute of Technology, 150001, Harbin, P. R. China
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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 ata =a 0, then the numerical solution with the Euler-method of the equation has a Hopf bifurcation point ata h =a 0 +O(h). |
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