Title | PERIODIC ORBITS OF QUADRATIC POLYNOMIALS OF PERIODS SIX AND SEVEN |
Publication Type | Journal Article |
Year of Publication | 2018 |
Authors | KOSUNEN PEKKA |
Journal | Dynamic Systems and Applications |
Volume | 27 |
Issue | 1 |
Start Page | 63 |
Pagination | 44 |
Date Published | 01/2018 |
ISSN | 1056-2176 |
AMS Subject Classification | 30D05, 37F10 |
Abstract | The dynamics of quadratic polynomials is commonly studied by using the family of maps $f_c (x) = x^2 + c$, where $c\in C$. In this paper we form equations of periodic orbits of periods six and seven on a new $(u, v)$-plane and consider also the corresponding equations on the $(x, y)$-plane. The new $(u, v)$-model produces equations for the periods six and seven with significantly lower degree than the ones obtained by the previous models which enables us to find their solutions. |
https://acadsol.eu/dsa/articles/27/1/4.pdf | |
DOI | 10.12732/dsa.v27i1.4 |
Refereed Designation | Refereed |