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Russian Mathematical Surveys, 2004, Volume 59, Issue 3, Pages 571–572
DOI: https://doi.org/10.1070/RM2004v059n03ABEH000744
(Mi rm744)
 

This article is cited in 74 scientific papers (total in 74 papers)

In the Moscow Mathematical Society
Communications of the Moscow Mathematical Society

On a necessary condition for the ergodicity of quadratic operators defined on the two-dimensional simplex

N. N. Ganikhodzhaev, D. V. Zanin
References:
Accepted: 01.04.2004
Bibliographic databases:
Document Type: Article
MSC: 37A99
Language: English
Original paper language: Russian
Citation: N. N. Ganikhodzhaev, D. V. Zanin, “On a necessary condition for the ergodicity of quadratic operators defined on the two-dimensional simplex”, Russian Math. Surveys, 59:3 (2004), 571–572
Citation in format AMSBIB
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\by N.~N.~Ganikhodzhaev, D.~V.~Zanin
\paper On a necessary condition for the ergodicity of quadratic operators
defined on the two-dimensional simplex
\jour Russian Math. Surveys
\yr 2004
\vol 59
\issue 3
\pages 571--572
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Linking options:
  • https://www.mathnet.ru/eng/rm744
  • https://doi.org/10.1070/RM2004v059n03ABEH000744
  • https://www.mathnet.ru/eng/rm/v59/i3/p161
  • This publication is cited in the following 74 articles:
    1. Uygun Jamilov, Farrukh Mukhamedov, “Takens' the last problem and Stein-Ulam spiral type maps”, Journal of Mathematical Analysis and Applications, 531:1 (2024), 127813  crossref
    2. Dilfuza B. Eshmamatova, INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2022), 3085, INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2022), 2024, 020008  crossref
    3. R. N. Ganikhodzhaev, K. A. Kurganov, M. A. Tadzhieva, F. Kh. Khaidarov, “Dynamics of quadratic Volterra-type stochastic operators corresponding to strange tournaments”, Vladikavk. matem. zhurn., 26:1 (2024), 85–99  mathnet  crossref
    4. Uygun Jamilov, Farrukh Mukhamedov, Farzona Mukhamedova, Abdessatar Souissi, “Dynamics of nonlinear stochastic operators and associated Markov measures”, Math Methods in App Sciences, 2024  crossref
    5. Rasul Ganikhodzhaev, Dilfuza Eshmamatova, Mokhbonu Tadzhieva, Botir Zakirov, “SOME DEGENERATE CASES OF DISCRETE LOTKA–VOLTERRA DYNAMICAL SYSTEMS AND THEIR APPLICATIONS IN EPIDEMIOLOGY”, J Math Sci, 2024  crossref
    6. M. Saburov, “Stable and historic behavior in replicator equations given by nonlinear mappings”, Russian Math. Surveys, 78:2 (2023), 387–389  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    7. Nasir Ganikhodjaev, Najibakhon Mirkhodjaeva, THE II INTERNATIONAL SCIENTIFIC CONFERENCE “INDUSTRIAL AND CIVIL CONSTRUCTION 2022”, 2758, THE II INTERNATIONAL SCIENTIFIC CONFERENCE “INDUSTRIAL AND CIVIL CONSTRUCTION 2022”, 2023, 020003  crossref
    8. Mansoor Saburov, “Historic Behavior in Rock–Paper–Scissor Dynamics”, Qual. Theory Dyn. Syst., 22:3 (2023)  crossref
    9. U.U. Jamilov, M. Scheutzow, I. Vorkastner, “A prey–predator model with three interacting species”, Dynamical Systems, 38:4 (2023), 493  crossref
    10. Mansoor Saburov, “Stable and Historic Behavior in Replicator Equations Generated by Similar-Order Preserving Mappings”, Milan J. Math., 91:1 (2023), 31  crossref
    11. D. B. Eshmamatova, Sh. J. Seytov, N. B. Narziev, “Basins of Fixed Points for Composition of the Lotka–Volterra Mappings and Their Classification”, Lobachevskii J Math, 44:2 (2023), 558  crossref
    12. Siti Nurlaili Karim, Nur Zatul Akmar Hamzah, Nurfazatul Hazirah A. Rahman, Muhammad Fairuz Zulkefli, Nasir Ganikhodjaev, THE II INTERNATIONAL SCIENTIFIC CONFERENCE “INDUSTRIAL AND CIVIL CONSTRUCTION 2022”, 2758, THE II INTERNATIONAL SCIENTIFIC CONFERENCE “INDUSTRIAL AND CIVIL CONSTRUCTION 2022”, 2023, 020001  crossref
    13. Uygun Jamilov, Farrukh Mukhamedov, Farzona Mukhamedova, “Discrete time model of sexual systems”, Heliyon, 9:7 (2023), e17913  crossref
    14. A. Yu. Khamrayev, “Periodic and Regular Trajectories of Non-Volterra Quadratic Stochastic Operators”, Lobachevskii J Math, 44:10 (2023), 4321  crossref
    15. Jamilov U.U., Khamrayev A.Yu., “On Dynamics of Volterra and Non-Volterra Cubic Stochastic Operators”, Dynam. Syst., 37:1 (2022), 66–82  crossref  mathscinet  isi
    16. Uygun Jamilov, Farrukh Mukhamedov, “Historical behavior for a class of Lotka–Volterra systems”, Math Methods in App Sciences, 45:17 (2022), 11380  crossref
    17. K. A. Aralova, U. U. Jamilov, “The dynamics of superposition of non-Volterra quadratic stochastic operators”, Journal of Difference Equations and Applications, 28:9 (2022), 1178  crossref
    18. M. Saburov, “Historic Behavior in Discrete-time Replicator Dynamics”, Math. Notes, 112:2 (2022), 332–336  mathnet  mathnet  crossref  scopus
    19. U. U. Jamilov, B. J. Mamurov, “Asymptotical Behavior of Trajectories of Non-Volterra Quadratic Stochastic Operators”, Lobachevskii J Math, 43:11 (2022), 3174  crossref
    20. Uygun Jamilov, Farrukh Mukhamedov, “A Class of Lotka-Volterra Operators with Historical Behavior”, Results Math, 77:4 (2022)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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