Please use this identifier to cite or link to this item: https://open.uns.ac.rs/handle/123456789/27413
Title: Izohromi i autooscilatorni dinamički sistemi u ravni sa frakcionim disipacijama
Isochronic and auto-oscilator dynamical system in plane with fractional dissipation
Authors: Dolićanin Diana
Keywords: izohronost, linearizibilnost, jaka izohronost, frakcioni izvodi, disipacija;Isochronicity, linearizability, strong isochronicity, fractional deriva- tives, dissipation.
Issue Date: 9-Jun-2009
Publisher: Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu
University of Novi Sad, Faculty of Sciences at Novi Sad
Abstract: <p>Ova doktorska disertacija posvećena je proučavanju problema linearizibilnosti, izohro-<br />nisti, jake&nbsp; i&nbsp; savr&scaron;ene&nbsp; (ravnomerne)&nbsp; izohronosti&nbsp; za&nbsp; polinomske&nbsp; dvodimenzionalne&nbsp; sisteme običnih diferencijalnih jednačina kao i proučavanja stabilnosti jedne klase frakcionih jednačina. Pored navedenog,&nbsp; izučavan je i&nbsp; metod konstrukcije autogeneratora.</p>
<p>In this doctoral dissertation we study the problem of linearizability, isochronicity, and strong<br />isochronicity&nbsp; for&nbsp; two&nbsp; dimensional&nbsp; polynomial&nbsp; systems&nbsp; of ordinary&nbsp; differential equations.&nbsp; It was also studied the stability of one class of fractional equations. Nevertheless it was shown the autogenerators method contractions.</p>
URI: https://open.uns.ac.rs/handle/123456789/27413
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