Periodic orbits of quandratic polynomials of periods six and seven
Self archived versionpublished version
MetadataShow full item record
CitationKosunen. Pekka. (2018). Periodic orbits of quandratic polynomials of periods six and seven. DYNAMIC SYSTEMS AND APPLICATIONS, 27 (1) , 63-106. 10.12732/dsa.v27i1.4.
The dynamics of quadratic polynomials is commonly studied by using the family of maps fc(x) = x2 + c, where c 2 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.