Linearization, stability, and oscillation of the discrete delayed logistic system

Guanrong Chen; Shu Tang Liu

doi:10.1109/tcsi.2003.812618

Linearization, stability, and oscillation of the discrete delayed logistic system

IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications 50(6): 822-826

Article 2003 English

Abstract

1 min read

Asymptotic behavior of all solutions of the delayed logistic system x/sub n+1/+ax/sub n/=/spl mu//sub n/x/sub n/(1-x/sub n-/spl sigma//) is investigated. Some sufficient conditions for this equation to be stable are derived, and some necessary and sufficient conditions for oscillations of its solutions are also obtained.

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