<?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%">Ouannas, Adel</style></author><author><style face="normal" font="default" size="100%">KHENNAOUI, AMINA-AICHA</style></author><author><style face="normal" font="default" size="100%">Oussaeif, Taki-Eddine</style></author><author><style face="normal" font="default" size="100%">Pham, Viet-Thanh</style></author><author><style face="normal" font="default" size="100%">Grassi, Giuseppe</style></author><author><style face="normal" font="default" size="100%">Zohir Dibi</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Hyperchaotic fractional Grassi&amp;ndash;Miller map and its hardware implementation</style></title><secondary-title><style face="normal" font="default" size="100%">Integration</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2021</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2021</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://www.sciencedirect.com/science/article/abs/pii/S0167926021000584</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">80</style></volume><pages><style face="normal" font="default" size="100%">13-19</style></pages><isbn><style face="normal" font="default" size="100%">0167-9260</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p style=&quot;text-align: justify;&quot;&gt;
	Most of the papers published so far on fractional discrete systems are related to theoretical results on their chaotic behaviors or to applications based on the&amp;nbsp;mathematical modeling&amp;nbsp;of the chaotic phenomena. No paper has been published to date regarding the hardware implementation of hyperchaotic fractional maps. This manuscript makes a contribution to the topic by presenting the first example of hardware implementation of hyperchaotic fractional maps. In particular, by exploiting the Grunwald–Letnikov difference operator, the paper introduces a new version of the fractional Grassi–Miller map. The&amp;nbsp;system dynamics&amp;nbsp;are analyzed via&amp;nbsp;bifurcation diagrams&amp;nbsp;and&amp;nbsp;Lyapunov exponents, showing that the conceived map is hyperchaotic when the&amp;nbsp;fractional order&amp;nbsp;�&amp;nbsp;belongs to the interval&amp;nbsp;[0.966,1]. Finally, a hardware implementation of the fractional map is illustrated, with the aim to concretely highlight the presence of hyperchaos in physical systems described by fractional difference equations. Arduino, an open-source platform, has been used to illustrate the simplicity as well as the feasibility of the implementation.
&lt;/p&gt;
</style></abstract></record></records></xml>