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Preservation of Hopf bifurcation for neutral delay-differential equations by 0-methods

  • Autores: Huan Su, Wenxue Li, Xiaohua Ding
  • Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 248, Nº 1, 2013, págs. 76-87
  • Idioma: inglés
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • This paper considers the preservation of Hopf bifurcation of some neural delay-differential equations by è-method. By analyzing the dynamics of the numerical discrete system derived by è-method, we show that è-method could inherit the Hopf bifurcation and the asymptotical stability for sufficiently small stepsize h = 1/m, wheremis a positive integer.

      In particular, for è = 1/2 the result holds for any stepsize h = 1/m. Furthermore, the stability of the closed invariant curve is established. Finally, some numerical examples are illustrated to support the analytic results.


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