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Browsing Matematik Bölümü by Author "Fen, Fatma Tokmak"

Browsing Matematik Bölümü by Author "Fen, Fatma Tokmak"

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  • Homoclinic and Heteroclinic Motions in Hybrid Systems with Impacts 
    Fen, Mehmet Onur; Fen, Fatma Tokmak (WALTER DE GRUYTER GMBH, GENTHINER STRASSE 13, D-10785 BERLIN, GERMANY, 2017)
    In this paper, we present a method to generate homoclinic and heteroclinic motions in impulsive systems. We rigorously prove the presence of such motions in the case that the systems are under the influence of a discrete ...
  • Homoclinical Structure of Retarded SICNNs with Rectangular Input Currents 
    Fen, Mehmet Onur; Fen, Fatma Tokmak (SPRINGER, VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS, 2019)
    The dynamics of retarded shunting inhibitory cellular neural networks (SICNNs) with rectangular input currents is investigated from the asymptotic point of view. It is rigorously proved that such networks possess homoclinic ...
  • Replication of period-doubling route to chaos in impulsive systems 
    Fen, Mehmet Onur; Fen, Fatma Tokmak (UNIV SZEGED, BOLYAI INSTITUTE, ARADI VERTANUK TERE 1, 6720 SZEGED, HUNGARY, 2018)
    In this study, we investigate the dynamics of impulsive systems driven by a chaotic system. It is shown that the response impulsive system replicates the sensitivity and the period-doubling cascade of the drive. Illustrative ...
  • SICNNs with Li-Yorke Chaotic Outputs on A Time Scale 
    Fen, Mehmet Onur; Fen, Fatma Tokmak (ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS, 2017)
    The existence of Li-Yorke chaos in the dynamics of shunting inhibitory cellular neural networks (SICNNs) on time scales is investigated. It is rigorously proved by taking advantage of external inputs that the outputs of ...
  • Unpredictable oscillations of SICNNs with delay 
    Fen, Mehmet Onur; Fen, Fatma Tokmak (ELSEVIERRADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS, 2021-11-13)
    We rigorously prove that unpredictable oscillations take place in the dynamics of shunting inhibitory cellular neural networks (SICNNs) with delay when rectangular input currents generated by an unpredictable sequence are ...

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