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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 144, Pages 104–108 (Mi into278)  
This article is cited in 11 scientific papers (total in 11 papers)

Dynamical Properties of Quadratic Homeomorphisms of a Finite-Dimensional Simplex

R. N. Ganikhodzhaeva, M. A. Tadjievaa, D. B. Èshmamatovab

a National University of Uzbekistan named after M. Ulugbek, Tashkent
b Tashkent Temir YO'L Muxandislari Instituti
Full-text PDF (158 kB) Citations (11)
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Abstract: 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, simplex, tournament, Lyapunov functions, fixed-point chart.
English version:
Journal of Mathematical Sciences, 2020, Volume 245, Issue 3, Pages 398–402
DOI: https://doi.org/10.1007/s10958-020-04702-7
Bibliographic databases:
Document Type: Article
UDC: 517.98
MSC: Primary 37B25; Secondary 37C25, 37C27
Language: Russian
Citation: R. N. Ganikhodzhaev, M. A. Tadjieva, D. B. Èshmamatova, “Dynamical Properties of Quadratic Homeomorphisms of a Finite-Dimensional Simplex”, Proceedings of the International Conference «Problems of Modern Topology and its Applications», Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 144, VINITI, M., 2018, 104–108; Journal of Mathematical Sciences, 245:3 (2020), 398–402
Citation in format AMSBIB
\Bibitem{GanTadEsh18}
\by R.~N.~Ganikhodzhaev, M.~A.~Tadjieva, D.~B.~\`Eshmamatova
\paper Dynamical Properties of Quadratic Homeomorphisms of a Finite-Dimensional Simplex
\inbook Proceedings of the International Conference «Problems of Modern Topology and its Applications»
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 144
\pages 104--108
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into278}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3829877}
\zmath{https://zbmath.org/?q=an:1450.37037}
\transl
\jour Journal of Mathematical Sciences
\yr 2020
\vol 245
\issue 3
\pages 398--402
\crossref{https://doi.org/10.1007/s10958-020-04702-7}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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    Full-text PDF :86
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