Cilt 4, Sayı 4, Aralık 2006

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  • Publication
    Embargo
    Schwarzian Derivative Revisited
    (İstanbul Kültür Üniversitesi Yayınları, 2006-12) Polatoğlu, Yaşar; Çağlar, Mert; Demirer, R. Murat; TR199370
    The Boolean-algebraic structure of the so-called Schwarzian derivative is investigated. A sufficient condition for a function of several variables to behave chaotically, which concerns its associated Schwarzian derivative, is also given.
  • Publication
    Open Access
    Dinamik Sistemler Üzerine Mathematica Uygulamaları
    (İstanbul Kültür Üniversitesi Yayınları, 2006-12) Ufuktepe, Ünal; Deniz, Aslı
    Teknolojik devrimler ve gelisen bilisim yazilimlari cebirsel sistemlerin uygulama alanlarini genisletmistir. Dinamik sistemler için 1984'ten itibaren Phaser yazilimi yaygin sekilde kullanilirken 1994'te Dynamics kullanilmaya baslanmis 2000'li yillarda ise Mathematica, MatIab, Mathcad v.b. programlar bunlarin yerini almistir. Bu yazilimlar sayesinde dinamik sistemlerin yörüngelerinin elde edilmesi, Lyapunov foksiyonlarinin bulunmasi, periyodik çözümlerin sembolik olarak elde edilmesi, garip çekerler, dogrusalolmayan dinamik sistemlerin kaotik yapilarinin daha iyi anlasilmasi kolaylasmistir. Bu çalismada dinamik sistemlerin temel kavramlari üzerine gelistirmis oldugumuz Mathematica ve webMathematica uygulamalarina yer verdik. Bu uygulamalar sayesinde ögrencilerinin dinamik sistemleri daha iyi kavrayabilecegini ve kendi alanlarinda modellerini gelistirebileceklerini düsünüyoruz.
  • Publication
    Open Access
    A Study On Spectral And Statistical Analysis Of Noisy Signals For Physical Processes
    (İstanbul Kültür Üniversitesi Yayınları, 2006-12) Kaynaş, Tayfun; Şeker, Serhat
    In this study, it is considered a sinusoidal signal with is third harmonic as well as the fundamental frequency adding the noise term, which is produced using a Gaussian random number generator. Hence spectral and statistical properties of this signal are examined and Signal-to-Noise Ratio (SNR) is computed comparing with the probability function of the noisy signal.
  • Publication
    Open Access
    The Application Of The Modified From Of Bath's Law To The North Anatolian Fault Zone (NAFZ), Aegean Graben System And Cyprus Arc Zone
    (İstanbul Kültür Üniversitesi Yayınları, 2006-12) Yalçın, Sibel Ebru; Kurnaz, Levent
    Earthquakes and aftershock sequences follow several empirical scaling laws: (1) Gutenberg-Richter frequency-magnitude scaling, (2) Bi'ith's law for the magnitude of the largest aftershock, (3) The modified Omori's law for the temporal decay of aftershocks. In this paper, "The Modified Form of Bi'ith's Law" and its application to our KOERI data have been studied. Bi'ith's law states that the differences in magnitudes between mainshocks and their largest aftershocks are approximately constant, independent of the magnitudes of mainshocks. In the modified form of Bi'ith's law for a given mainshock we get the inferred "largest" aftershock of this mainshock by using an extrapolation of the Gutenberg-Richter frequency-magnitude statistics of the aftershock sequence. To test the applicability of the modified form of Bi'ith's Law we consider i4 large earthquakes that occurred in and near boundary neighbors of Turkey between i900 and 2004 with magnitudes equal to or greater than ffims ~ 6.1. Because Turkey has different fault zones that have different properties, a classification was needed for these earthquakes. Additional\y, in this study the partitioning of energy during a mainshock-aftershock sequence was also calculated in two different ways. it is shown that most of the energy is released in the mainshock. The constancy of the differences in magnitudes between mainshocks and their largest aftershocks is an indication of scale-invariant behavior of aftershock sequences.
  • Publication
    Open Access
    Investigation Of Effects Of Cross-Sections on The Ray-Effect Distortions
    (İstanbul Kültür Üniversitesi Yayınları, 2006-12) Sağlam, S.
    In this study, a wellknown numerieal method has been used to solve neutron transport equation and the ray-effeet anomaly observed on the results of the method hase been introdueed. To examine the effeets of eross-seetions on the ray-effeet, two Benehmark problems have been ehosen as test problems. Then, two dimensional transport code, TWOTRAN-1I has been exeeuted for these problems for 84-816 approximations. Finally, by eomparing all the results with eaeh other, the effeets of eross-seetions have been examined in detail.