A qualitative analysis of ẋ=Ax+b


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

Similar works

Full text


Elsevier - Publisher Connector

Provided original full text link
Last time updated on 6/5/2019

This paper was published in Elsevier - Publisher Connector .

Having an issue?

Is data on this page outdated, violates copyrights or anything else? Report the problem now and we will take corresponding actions after reviewing your request.