<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">PEKKA KOSUNEN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">PERIODIC ORBITS OF QUADRATIC POLYNOMIALS OF PERIODS SIX AND SEVEN</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">30D05</style></keyword><keyword><style  face="normal" font="default" size="100%">37F10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/27/1/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">27</style></volume><pages><style face="normal" font="default" size="100%">44</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;The dynamics of quadratic polynomials is commonly studied by using&amp;nbsp;the family of maps $f_c (x) = x^2&amp;nbsp;+ c$, where $c\in C$. In this paper we form equations of&amp;nbsp;periodic orbits of periods six and seven on a new $(u, v)$-plane and consider also the&amp;nbsp;corresponding equations on the $(x, y)$-plane. The new $(u, v)$-model produces equations&amp;nbsp;for the periods six and seven with significantly lower degree than the ones obtained&amp;nbsp;by the previous models which enables us to find their solutions.&lt;br /&gt;
&amp;nbsp;&lt;/p&gt;
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