Title of article :
Stability and Neimark–Sacker bifurcation of numerical discretization
of delay differential equations
Author/Authors :
Zhimin He *، نويسنده , , Aiyu Hou، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2009
Abstract :
A kind of a discrete delay model obtained by Euler method is investigated. Firstly, the linear
stability of the model is studied. It is found that there exist Neimark–Sacker bifurcations
when the delay passes a sequence of critical values. Then the explicit algorithm for determining
the direction and stability of the Neimark–Sacker bifurcations are derived by using
the normal form theory and center manifold theorem. Finally, computer simulations are
provided to illustrate the analytical results found.
Journal title :
Chaos, Solitons and Fractals
Journal title :
Chaos, Solitons and Fractals