Geodesic
Sign-invariant structures of matrices, and discrete models
Diskretnaya Matematika, Tome 11 (1999) no. 4, pp. 89-100

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We consider the asymptotic behaviour of linear discrete systems determined by the so called $NZ$-matrices. We describe the sign-structures of such matrices (sign-invariant and pulsar) for which a non-trivial equilibrium or a periodical behaviour, respectively, are observed. We apply the sign-invariant matrices to analysis of dynamics of non-linear non-autonomous models of competition. 
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     title = {Sign-invariant structures of matrices, and discrete models},
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V. G. Il'ichev; O. A. Il'icheva. Sign-invariant structures of matrices, and discrete models. Diskretnaya Matematika, Tome 11 (1999) no. 4, pp. 89-100. http://geodesic.mathdoc.fr/item/DM_1999_11_4_a7/