一维时滞离散广义Logistic系统的线性化和稳定性

摘要

Linearization and stability of all solutions of the generalized one-dimensional delay discrete logistic system xn+1-μnxn-∑μi,nxain-σ=0 are investigated. Some sufficient conditions for the stability of this equation are derived.%Logistic系统是一经典的离散非线性系统,它的混沌,以及混沌的各种控制和其它渐近性质已经有了大量的研究,本文主要研究了一类更为广泛的一维时滞离散Logistic系统xn+1-μnχn+∑μi,nxain-σ=0的线性化和稳定性,得到了系统所有解稳定的一些充分条件.