Simultaneous rational periodic points of degree-2 rational maps

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Barsakçı, Burcu (2021) Simultaneous rational periodic points of degree-2 rational maps. [Thesis]

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Abstract

In this thesis, we study the dynamical behaviour of degree two rational maps of the form kx+b/x and quadratic polynomials with rational coefficients. Assuming standard conjectures on the period length of rational periodic points of these maps, we give the possible size of the intersection of their finite orbits. In particular, we give a necessary and sufficient condition for two rational points to be periodic for infinitely many such maps.
Item Type: Thesis
Uncontrolled Keywords: dynamical systems. -- periodic point. -- degree-2 rational map. -- quadratic polynomial. -- orbit. -- dinamik sistemler. -- periyodik nokta. -- ikinci dereceden rasyonel fonksiyon. -- ikinci dereceden polinom fonksiyon. -- yörünge.
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: IC-Cataloging
Date Deposited: 05 Nov 2021 15:23
Last Modified: 26 Apr 2022 10:39
URI: https://research.sabanciuniv.edu/id/eprint/42530

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