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Matematik Bölümü Yayın Koleksiyonu

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Browsing Matematik Bölümü Yayın Koleksiyonu by Institution Author "Cilingir, Figen"

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    Fractals Arising From Newton's Method
    (Amer inst Physics, 2012) Cilingir, Figen
    We consider the dynamics as a special class of rational functions that are obtained from Newton's method when applied to a polynomial equation. Finding solutions of these equations leads to some beautiful images in complex functions. These images represent the basins of attraction of roots of complex functions. We seek the answer "What is the dynamics near the chosen parabolic fixed points?". In addition, we will provide a detailed history of Fractal and Dynamical System Theory.