Geodesic
Sign-invariant structures of matrices, and discrete models
Diskretnaya Matematika, Tome 11 (1999) no. 4, pp. 89-100 
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/
@article{DM_1999_11_4_a7,
     author = {V. G. Il'ichev and O. A. Il'icheva},
     title = {Sign-invariant structures of matrices, and discrete models},
     journal = {Diskretnaya Matematika},
     pages = {89--100},
     year = {1999},
     volume = {11},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_1999_11_4_a7/}
}
TY  - JOUR
AU  - V. G. Il'ichev
AU  - O. A. Il'icheva
TI  - Sign-invariant structures of matrices, and discrete models
JO  - Diskretnaya Matematika
PY  - 1999
SP  - 89
EP  - 100
VL  - 11
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/DM_1999_11_4_a7/
LA  - ru
ID  - DM_1999_11_4_a7
ER  - 
%0 Journal Article
%A V. G. Il'ichev
%A O. A. Il'icheva
%T Sign-invariant structures of matrices, and discrete models
%J Diskretnaya Matematika
%D 1999
%P 89-100
%V 11
%N 4
%U http://geodesic.mathdoc.fr/item/DM_1999_11_4_a7/
%G ru
%F DM_1999_11_4_a7

Voir la notice de l'article provenant de la source Math-Net.Ru

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.