İKÜ Güncesi Fen ve Mühendislik Bilimleri / Journal of İstanbul Kültür University Science and Engineering

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Browsing İKÜ Güncesi Fen ve Mühendislik Bilimleri / Journal of İstanbul Kültür University Science and Engineering by Author "Anagnostopoulos, Antonios N."

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    Dynamics On Relaxed Newton's Method Derivative
    (İstanbul Kültür Üniversitesi Yayınları, 2006-12) Özer, Mehmet; Hacıbekiroglou, Gürsel; Valaristos, Antonios; Miliou, Amalia N.; Anagnostopoulos, Antonios N.; Cenys, Antanas; POLATOĞLU, YAŞAR; TR2509; TR199370
    In the present report the dynamic behaviour of the one dimensional family of maps f(x) = b(x + ar}' is examined, for representative values of the control parametres a, b and A.. These maps are of special interest, since theyare solutions of N;j = 2 , where N;j is the Relaxed Newton's method derivative. The maps f(x) are proved to be solutions of the non-linear df(x) fJ[.r/..I](1+A)/A fJ 1 b-1/A differential equation, dx - '. J \Xi , where = /l. •. The reccurent form of these maps, Xn = b(xn_i + arA, after excessive iterations, shows in a Xn vs. A. plot, an initial exponential decay followed by a bifurcation. The value ofA. at which this bifurcation takes place, depends on the values of the parameters a, b. This corresponds to a switch to an oscillatory behaviour with amplitudes of f (X) undergoing a period doubling. For values of a slightly higher than i and at higher A.'s areverse bifurcation occurs and a bleb is formed. This behaviour is confirrned by calculating the corresponding Lyapunov exponent.
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    PublicationOpen Access
    The Effect Of Noise And Parameter Mismatch On The Synchronization Of The Drive-Response Chaotic System
    (İstanbul Kültür Üniversitesi Yayınları, 2006-12) Antoniades, Ioannis P.; Miliou, Amalia N.; Stavrinides, Stavros G.; Anagnostopoulos, Antonios N.
    We present a thorough investigation of the effect ofnoise (internal or extemal) on the synchronization of a drive-response configuration system (unidirectional coupling between two identIcal systems). Moreover, since in every practical implementation of a communication system, the transmitter and receiver circuits (although identical) operate under slightly different conditions it is essential to consider the case of the mismatch between the parameters of the transmitter and the receiver. In OUT work we consider the non-autonomous 2nd order non-linear oscillator system presented by G. Mycolaitis, et aZ in Pmc. onth Int. Workshop on Non-linear Dynamics ofElectronic Systems, which is particularly suitable for digital communications.