Sobirjon Shoyimardonov

    shoyimardonov@inbox.ru
    V.I.Romanovskiy Institute of Mathematics

    Publications:

    Shoyimardonov S. K., Rozikov U. A.
    Discrete-Time Dynamical Systems Generated by a Quadratic Operator
    2025, Vol. 21, no. 3, pp.  399-418
    Abstract
    In this paper, we examine a specific class of quadratic operators. For these operators, we identify all fixed points and categorized their types in the general case. Our analysis reveals that there are no attractive fixed points except the origin. Additionally, we investigate the global dynamics in the two-dimensional case and generalize several results obtained for lowerdimensional scenarios.
    Keywords: quadratic operator, fixed point, invariant set, invariant manifold, stable curve
    Citation: Shoyimardonov S. K., Rozikov U. A.,  Discrete-Time Dynamical Systems Generated by a Quadratic Operator, Rus. J. Nonlin. Dyn., 2025, Vol. 21, no. 3, pp.  399-418
    DOI:10.20537/nd250803

    Back to the list