PERIODIC ORBITS OF QUADRATIC POLYNOMIALS OF PERIODS SIX AND SEVEN

TitlePERIODIC ORBITS OF QUADRATIC POLYNOMIALS OF PERIODS SIX AND SEVEN
Publication TypeJournal Article
Year of Publication2018
AuthorsKOSUNEN PEKKA
JournalDynamic Systems and Applications
Volume27
Issue1
Start Page63
Pagination44
Date Published01/2018
ISSN1056-2176
AMS Subject Classification30D05, 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.
 

PDFhttps://acadsol.eu/dsa/articles/27/1/4.pdf
DOI10.12732/dsa.v27i1.4
Refereed DesignationRefereed