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Hopf bifurcation in numerical approximation for delay differential equations

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Abstract

In this paper we investigate the qualitative behaviour of numerical approximation to a class delay differential equation. We consider the numerical solution of the delay differential equations undergoing a Hopf bifurcation. We prove the numerical approximation of delay differential equation had a Hopf bifurcation point if the true solution does.

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Authors and Affiliations

  1. Key Laboratory of Forestry Plant Ecology, Ministry of Education, Northeast Forestry University, 150040, Harbin, P. R. China

    Chunrui Zhang

  2. Department of Mathematics, Harbin Institute of Technology, 150001, Harbin, P. R. China

    Mingzhu Liu & Baodong Zheng

Authors
  1. Chunrui Zhang
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  2. Mingzhu Liu
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  3. Baodong Zheng
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Additional information

Chunrui Zhang received her Ph. D from Harbin Institute of Technology. Her research interests focus on the theory and application of functional differential equations.

Mingzhu Liu received his Ph. D from Leiden University (Netherlands). His research interests focus on the theory and application of functional differential equations.

Baodong Zheng received his Ph. D from Harbin Institute of Technology.

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Zhang, C., Liu, M. & Zheng, B. Hopf bifurcation in numerical approximation for delay differential equations. JAMC 14, 319–328 (2004). https://doi.org/10.1007/BF02936117

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  • DOI: https://doi.org/10.1007/BF02936117

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