Now showing items 1-3 of 3

    • Bifurcations of Fibonacci generating functions 

      Özer, Mehmet; Cenys, Antanas; Polatoğlu, Yaşar; Hacıbekiroğlu, Gürsel; Akat, Ercüment; Valaristos, A.; Anagnostopoulos, A. N. (PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND, 2007-08)
      In this work the dynamic behaviour of the one-dimensional family of maps F-p,F-q(x) = 1/(1 - px - qx(2)) is examined, for specific values of the control parameters p and q. Lyapunov exponents and bifurcation diagrams are ...
    • Non-Polynomial Spline Solution For Bratu's Problem 

      Özer, Mehmet; Çağlar, Hikmet; Hacıbekiroğlu, Gürsel (Int Scientific Conference Sgem, 14, Kilment Ohridsky Blvd, Sofia, 1797, Bulgaria, 2010)
      In this paper, we have discussed a third-degree non-polynomial spline solution for the numerical solution to nonlinear boundary value problems (BVPs) and compare other metods. Two numerical examples are given to illustrate ...
    • The higher order Schwarzian derivative: Its applications for chaotic behavior and new invariant sufficient condition of chaos 

      Hacıbekiroğlu, Gürsel; Çağlar, Mert; Polatoğlu, Yaşar (Elsevier, 2009-06)
      The Schwarzian derivative of a function which is defined in the interval having higher order derivatives is given by A sufficient condition for a function to behave chaotically is that its Schwarzian derivative is ...