Skip to main content
AkademIndex

Products

For developers

AkademBaseOpen API for the ecosystem
← Back to work

Works citing this work

37 works

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

  1. QUADRATIC STOCHASTIC OPERATORS AND PROCESSES: RESULTS AND OPEN PROBLEMS

    Rasul Ganikhodzhaev, Farrukh Mukhamedov, U. A. Rozikov

    ArticleQuantum Mechanics and ApplicationsInfinite Dimensional Analysis Quantum Probability and Related Topics201184 citations
    ABI

  2. Quadratic stochastic operators and zero-sum game dynamics

    Nasir Ganikhodjaev, Rasul Ganikhodjaev, Uygun Jamilov

    ArticleEconomic theories and modelsErgodic Theory and Dynamical Systems201445 citations
    ABI

  3. On the random dynamics of Volterra quadratic operators

    Uygun Jamilov, Michael Scheutzow, Maite Wilke-Berenguer

    ArticleStability and Controllability of Differential EquationsErgodic Theory and Dynamical Systems201524 citations
    ABI

  4. Non-Ergodicity of Uniform Quadratic Stochastic Operators

    Uygun Jamilov, M. Ladra

    ArticleEconomic theories and modelsQualitative Theory of Dynamical Systems201523 citations
    ABI

  5. On a Family of Strictly Non-Volterra Quadratic Stochastic Operators

    Uygun Jamilov

    ArticleAdvanced Topics in AlgebraJournal of Physics Conference Series201620 citations
    ABI

  6. <i>G,μ</i>)-quadratic stochastic operators

    Jochen Blath, Uygun Jamilov, Michael Scheutzow

    ArticleAdvanced Topics in AlgebraThe Journal of Difference Equations and Applications201416 citations
    ABI

  7. Basins of Fixed Points for Composition of the Lotka–Volterra Mappings and Their Classification

    Dilfuza Eshmamatova, Sh. J. Seytov, N. B. Narziev

    ArticleMathematical and Theoretical Epidemiology and Ecology ModelsLobachevskii Journal of Mathematics202313 citations
    ABI

  8. On Non-Ergodic Transformations on<i>S</i><sup>3</sup>

    Nasir Ganikhodjaev, Uygun Jamilov, R. T. Mukhitdinov

    ArticleAdvanced Topics in AlgebraJournal of Physics Conference Series201310 citations
    ABI

  9. Nonergodic Quadratic Operators for a Two-Sex Population

    Насир Набиевич Ганиходжаев, U. U. Zhamilov, R. T. Mukhitdinov

    ArticleAdvanced Topics in AlgebraUkrainian Mathematical Journal20148 citations
    ABI

  10. Quadratic operators corresponding to permutations

    Uygun Jamilov, Kh. O. Khudoyberdiev, M. Ladra

    ArticleAdvanced Topics in AlgebraStochastic Analysis and Applications20207 citations
    ABI

  11. Historical behavior for a class of Lotka–Volterra systems

    Uygun Jamilov, Farrukh Mukhamedov

    ArticleMathematical and Theoretical Epidemiology and Ecology ModelsMathematical Methods in the Applied Sciences20226 citations
    ABI

  12. SOME DEGENERATE CASES OF DISCRETE LOTKA–VOLTERRA DYNAMICAL SYSTEMS AND THEIR APPLICATIONS IN EPIDEMIOLOGY

    Rasul Ganikhodzhaev, Dilfuza Eshmamatova, M. A. Tadzhieva +1

    ArticleMathematical and Theoretical Epidemiology and Ecology ModelsJournal of Mathematical Sciences20245 citations
    ABI

  13. On a Family of Volterra Cubic Stochastic Operators

    K. A. Kurganov, Uygun Jamilov, M. O. Okhunova

    ArticleMathematical Biology Tumor GrowthLobachevskii Journal of Mathematics20215 citations
    ABI

  14. Compositions of Lotka–Volterra mappings as a model for the study of viral diseases

    Dilfuza Eshmamatova

    ArticleMathematical and Theoretical Epidemiology and Ecology ModelsAIP conference proceedings20244 citations
    ABI

  15. On a Family of Non-Volterra Quadratic Operators Acting on a Simplex

    Uygun Jamilov, M. Ladra

    ArticleAdvanced Topics in AlgebraQualitative Theory of Dynamical Systems20203 citations
    ABI

  16. Asymptotical Behavior of Trajectories of Non-Volterra Quadratic Stochastic Operators

    Uygun Jamilov, B. J. Mamurov

    ArticleMatrix Theory and AlgorithmsLobachevskii Journal of Mathematics20223 citations
    ABI

  17. Qualitative analysis of strictly non-Volterra quadratic dynamical systems with continuous time

    Rasulov Xaydar Raupovich

    ArticleDifferential Equations and Numerical MethodsCommunications in Mathematics20222 citations
    ABI

  18. Discrete time model of sexual systems

    Uygun Jamilov, Farrukh Mukhamedov, Farzona Mukhamedova

    ArticleEvolution and Genetic DynamicsHeliyon20232 citations
    ABI

  19. Takens' the last problem and Stein-Ulam spiral type maps

    Uygun Jamilov, Farrukh Mukhamedov

    ArticleMathematical Dynamics and FractalsJournal of Mathematical Analysis and Applications20232 citations
    ABI

  20. On dynamics of Volterra and non-Volterra cubic stochastic operators

    Uygun Jamilov, A. Yu. Khamrayev

    ArticleAdvanced Topics in AlgebraDynamical Systems20211 citations
    ABI

  21. A Class of Lotka-Volterra Operators with Historical Behavior

    Uygun Jamilov, Farrukh Mukhamedov

    Articleadvanced mathematical theoriesResults in Mathematics20221 citations
    ABI

  22. A prey–predator model with three interacting species

    Uygun Jamilov, Michael Scheutzow, Isabell Vorkastner

    ArticleMathematical and Theoretical Epidemiology and Ecology ModelsDynamical Systems20231 citations
    ABI

  23. Periodic and Regular Trajectories of Non-Volterra Quadratic Stochastic Operators

    A. Yu. Khamrayev

    ArticleAdvanced Topics in AlgebraLobachevskii Journal of Mathematics20231 citations
    ABI

  24. Dynamics of nonlinear stochastic operators and associated Markov measures

    Uygun Jamilov, Farrukh Mukhamedov, Farzona Mukhamedova +1

    ArticleStochastic processes and financial applicationsMathematical Methods in the Applied Sciences20241 citations
    ABI

  25. Dynamical systems generated by quadratic homeomorphisms of 2D simplex

    Rasul Ganikhodzhaev, Abror Pirnapasov

    ArticleAdvanced Topics in AlgebraJournal of Physics Conference Series20160 citations
    ABI