一类含参数的非线性差分方程的不动点及其性态

The Fixed Points and its Character for a class Nonlinear Differential Equations with Parameters

研究一类含参数的非线性差分方程:x(n+1)=x(n)exp{-δ[x(n)-珚x]}(其中δ≥0为参数,为非0常数),作为离散映射时研究其不动点及其性质,获得了参数在一定范围内变化时不动点的性态,而作为差分方程时讨论了其周期解存在及其稳定性.

This paper studies a class of nonlinear difference equation with parameter x（n） exp{-δ[x（n） -x^-]} （δ≥ 0 is a parameter,x ^-≠0 is a constant）, as a discr points and properties, obtained the parameter changes within a certain scope and as a difference equation we study its the periodic solution and its stability ete mapping the characte of difference we s r of x（n ＋ 1） = tudy its fixed fixed points, equatlon