<?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%">DMITRIY DMITRISHIN</style></author><author><style face="normal" font="default" size="100%">ELENA FRANZHEVA</style></author><author><style face="normal" font="default" size="100%">IONUT E. IACOB</style></author><author><style face="normal" font="default" size="100%">ALEX STOKOLOS</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">OPTIMAL SEARCH FOR NONLINEAR DISCRETE SYSTEMS CYCLES</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">93C10</style></keyword><keyword><style  face="normal" font="default" size="100%">93C55</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%">11/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/4/11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">32</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;We consider a classical problem of stabilization of a priori&amp;nbsp;unknown unstable periodic orbits in nonlinear autonomous discrete dynamical&amp;nbsp;systems. A new approach was suggested in [11], where a nonlinear delay&amp;nbsp;feedback control (DFC) scheme with apparently optimal gain was introduced.&amp;nbsp;The optimality criteria in [11] were stated in terms of the size of the convergence&amp;nbsp;region for the system multipliers. In numerical simulations it turns out&amp;nbsp;that the optimal coefficients (in the above sense) produce slowly convergent&amp;nbsp;recurrences. In this paper we suggest a generalization of the formulas from&amp;nbsp;[11] to improve the rate of convergence while preserving stability. The subtlety&amp;nbsp;of the problem is illustrated in numerous numerical simulations examples.&lt;/p&gt;
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