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Dynamical Properties of Quadratic Homeomorphisms of a Finite-Dimensional Simplex

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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.

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Authors and Affiliations

  1. National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan

    R. N. Ganikhodzhaev & M. A. Tadzhieva

  2. Tashkent Institute of Railway Transport Engineers, Tashkent, Uzbekistan

    D. B. Eshmamatova

Authors
  1. R. N. Ganikhodzhaev
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  2. M. A. Tadzhieva
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  3. D. B. Eshmamatova
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Corresponding author

Correspondence to R. N. Ganikhodzhaev.

Additional information

Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 144, Proceedings of the Conference “Problems of Modern Topology and Its Applications” (May 11–12, 2017), Tashkent, Uzbekistan, 2018.

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Ganikhodzhaev, R.N., Tadzhieva, M.A. & Eshmamatova, D.B. Dynamical Properties of Quadratic Homeomorphisms of a Finite-Dimensional Simplex. J Math Sci 245, 398–402 (2020). https://doi.org/10.1007/s10958-020-04702-7

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  • DOI: https://doi.org/10.1007/s10958-020-04702-7

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