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Symbiosis points for linear differential systems
1991
Linear and multilinear algebra
Let A be an n × n essentially nonnegative matrix and consider the linear differential systemẋ = Ax. An initial point v lies in the reachability cone X A (R n + ) for the nonnegative orthant if the trajectory x(t) emanating from v reaches the nonnegative orthant at some time t 0 . Due to the essential nonnegativity of A, once x(t) enters the nonnegative orthant it remains in it thereafter.In this paper we introduce the notion of a symbiosis point for the system. This is a point in X A (R n + )
doi:10.1080/03081089108818087
fatcat:gpd5fvblf5achifpfpzn3afynq