Asymptotic behavior of delay 2-D discrete logistic systems

Shu Tang Liu; Guanrong Chen

doi:10.1109/tcsi.2002.804600

Asymptotic behavior of delay 2-D discrete logistic systems

IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications 49(11): 1677-1682

Article 2002 English

Abstract

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Asymptotic behavior of all solutions of the delay two-dimensional logistic system x/sub m+1,/ /sub n/+ax/sub m,/ /sub n+1/=/spl mu//sub mn/x/sub mn/ (1-x/sub m-/spl sigma/, n-/spl tau//) is investigated. Some sufficient conditions for the stability of this equation are derived. Moreover, some sufficient and necessary conditions for oscillations of all solutions of this equation are obtained.

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