Geodesic
Dynamical Properties of Quadratic Homeomorphisms of a Finite-Dimensional Simplex
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Problems of Modern Topology and its Applications», Tome 144 (2018), pp. 104-108

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In this paper, we describe the class of all quadratic homeomorphisms of a finite-dimensional simplex and examine the asymptotic behavior of positive and negative trajectories of such homeomorphisms.
Keywords: quadratic Lotka–Volterra mapping, tournament, Lyapunov functions, fixed-point chart.
Mots-clés : simplex 
@article{INTO_2018_144_a11,
     author = {R. N. Ganikhodzhaev and M. A. Tadjieva and D. B. \`Eshmamatova},
     title = {Dynamical {Properties} of {Quadratic} {Homeomorphisms} of a {Finite-Dimensional} {Simplex}},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {104--108},
     publisher = {mathdoc},
     volume = {144},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2018_144_a11/}
}
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R. N. Ganikhodzhaev; M. A. Tadjieva; D. B. Èshmamatova. Dynamical Properties of Quadratic Homeomorphisms of a Finite-Dimensional Simplex. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Problems of Modern Topology and its Applications», Tome 144 (2018), pp. 104-108. http://geodesic.mathdoc.fr/item/INTO_2018_144_a11/