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
Pages :
8
From page :
2010
To page :
2017
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
Serial Year :
2009
Journal title :
Chaos, Solitons and Fractals
Record number :
903731
Link To Document :
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