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- W2182496959 abstract "In this work, we study qualitative properties of solutions of the following nonlinear second order difference equation xn+1 = pxn−1 + f (xn − xn−1) At first we study the case of smooth f, in this case we study stability of the solutions and the existence of Neimark-Saker and period doubling (flip) bifurcation for this system by analysing the characteristic equation. Next we investigate the direction of this bifurcations by using normal form theory. In last section we consider continuous f and study the relation of attractivity and stability of equilibrium point of this equation and some related equations, furthere more we obtain sufficient conditions for the boundedness and attractivity of the solutions." @default.
- W2182496959 created "2016-06-24" @default.
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- W2182496959 date "2014-01-01" @default.
- W2182496959 modified "2023-09-27" @default.
- W2182496959 title "Qualitative Properties of the Solutions of a Second Order Difference Equation" @default.
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