10.1016/0166-218X(88)90038-8

A qualitative analysis of ẋ=Ax+b

Abstract

AbstractFor a dynamical system ẋ=Ax+b, where A is constant real n×n matrix and b is an n-vector there is special interest in the existence of a constant asymptotically stable attractor trajectory in positive orthant of Rn. For certain patterns of signs of entries (+, −, or 0) in A and b, such a trajectory always must exist, regardless of the magnitudes of those entries. This paper describes all such patterns in terms of digraphs. Applications to a nonlinear systems and ecosystem models are also mentioned

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Last time updated on 6/5/2019

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