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Numerical Hopf bifurcation of Runge–Kutta methods for a class of delay differential equations

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  • Wang, Qiubao
  • Li, Dongsong
  • Liu, M.Z.

Abstract

In this paper, we consider the discretization of parameter-dependent delay differential equation of the form

Suggested Citation

  • Wang, Qiubao & Li, Dongsong & Liu, M.Z., 2009. "Numerical Hopf bifurcation of Runge–Kutta methods for a class of delay differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3087-3099.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:5:p:3087-3099
    DOI: 10.1016/j.chaos.2009.04.008
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    References listed on IDEAS

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    1. Ding, Xiaohua & Fan, Dejun & Liu, Mingzhu, 2007. "Stability and bifurcation of a numerical discretization Mackey–Glass system," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 383-393.
    2. Liao, Xiaofeng & Chen, Guanrong, 2005. "Hopf bifurcation and chaos analysis of Chen’s system with distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 197-220.
    3. Liao, Xiaofeng & Li, Chuandong & Zhou, Shangbo, 2005. "Hopf bifurcation and chaos in macroeconomic models with policy lag," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 91-108.
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    Cited by:

    1. Jiang, Heping & Song, Yongli, 2015. "Normal forms of non-resonance and weak resonance double Hopf bifurcation in the retarded functional differential equations and applications," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 1102-1126.

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