Simultaneous rational periodic points of degree-2 rational maps

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

PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader

Official URL: https://risc01.sabanciuniv.edu/record=b2583797_(Table of contents)


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
ID Code:42530
Deposited By:IC-Cataloging
Deposited On:05 Nov 2021 15:23
Last Modified:05 Nov 2021 15:23

Repository Staff Only: item control page