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Çilingir, Figen

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Profile URL
https://hdl.handle.net/20.500.12416/9299
Name Variants
Cilingir, Figen
Job Title
Yrd. Doç. Dr.
Email Address
cilingir@cankaya.edu.tr
Main Affiliation
02.02. Matematik
Matematik
02. Fen-Edebiyat Fakültesi
01. Çankaya Üniversitesi
Status
Former Staff
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Scholarly Output

4

Articles

3

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768/399

Supervised MSc Theses

0

Supervised PhD Theses

0

WoS Citation Count

1

Scopus Citation Count

2

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1

Scopus h-index

1

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0

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0

WoS Citations per Publication

0.25

Scopus Citations per Publication

0.50

Open Access Source

3

Supervised Theses

0

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JournalCount
1st International Conference on Analysis and Applied Mathematics (ICAAM) -- OCT 18-21, 2012 -- Gumushane, TURKEY1
International Journal Of Bifurcation And Chaos1
İstatistikçiler Dergisi:İstatistik ve Aktüerya1
Journal of Difference Equations and Applications1
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Now showing 1 - 4 of 4
  • Thumbnail Image
    Article
    Dağılım fonksiyonlarının yinelenmis fonksiyon sistemleri ile tahmini
    (2014) Çilingir, Figen
    Bir dağılım fonksiyonunun parametrik olmayan tahmin edicisi yinelenmis fonksiyon sistemleri kullanılarak elde edilebilmektedir. Bu yönteme göre, bir dağılım fonksiyonunun tahmin edicisi, (X1, X2,…,Xn) örneklemine bağlı olan bir p parametre vektörü ve w afin dönüsümleri ailesine göre tanımlanan T daralma operatörünün bir sabit noktası olarak düsünülmektedir. Döviz kuru verisi üzerinde yapılan uygulamadan elde edilen sonuçlar bir örnek olarak gösterilmistir.
  • Thumbnail Image
    Article
    Citation - WoS: 1
    Citation - Scopus: 2
    On Newton's Method Applied To Real Polynomials
    (Taylor & Francis Ltd, 2012) Jarque, Xavier; Cilingir, Figen
    It is known that if we apply Newton's method to the complex function F(z) = P(z)e(Q(z)), with deg(Q) > 2, then the immediate basin of attraction of the roots of P has finite area. In this paper, we show that under certain conditions on the polynomial P, if deg(Q) = 1, then there is at least one immediate basin of attraction having infinite area.
  • Thumbnail Image
    Article
    Checkerboard Julia sets for rational maps
    (World Scientific Publ., 2013) Blanchard, Paul; Çilingir, Figen; Cuzzocreo, Daniel; Devaney, Robert L.; Look, Daniel M.; Russell, Elizabeth D.
    In this paper, we consider the family of rational maps F-lambda(z) = z(n) + lambda/z(d), where n >= 2, d >= 1, and lambda is an element of C. We consider the case where lambda lies in the main cardioid of one of the n - 1 principal Mandelbrot sets in these families. We show that the Julia sets of these maps are always homeomorphic. However, two such maps F-lambda and F-mu are conjugate on these Julia sets only if the parameters at the centers of the given cardioids satisfy mu = nu(j(d+1))lambda or mu = nu(j(d+1))(lambda) over bar where j is an element of Z and nu is an (n - 1)th root of unity. We define a dynamical invariant, which we call the minimal rotation number. It determines which of these maps are conjugate on their Julia sets, and we obtain an exact count of the number of distinct conjugacy classes of maps drawn from these main cardioids.
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    Conference Object
    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.