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Theory and Modern Applications

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Stability for delayed generalized 2D discrete logistic systems

Abstract

This paper is concerned with delayed generalized 2D discrete logistic systems of the form , where σ and τ are positive integers, is a real function, which contains the logistic map as a special case, and m and n are nonnegative integers, where and . Some sufficient conditions for this system to be stable and exponentially stable are derived.

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Correspondence to Chuan Jun Tian.

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This article is published under license to BioMed Central Ltd. This is an Open Access article: Verbatim copying and redistribution of this article are permitted in all media for any purpose, provided this notice is preserved along with the article's original URL.

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Tian, C.J., Chen, G. Stability for delayed generalized 2D discrete logistic systems. Adv Differ Equ 2004, 796950 (2004). https://doi.org/10.1155/S1687183904308101

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  • DOI: https://doi.org/10.1155/S1687183904308101