Browsing Moksliniai ir apžvalginiai straipsniai / Research and Review Articles by Author "Hacibekiroglou, Gürsel"

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    • A characterization of the dynamics of Newton’s derivative 

      Özer, Mehmet; Valaristos, Antonios; Polatoglu, Yasar; Hacibekiroglou, Gürsel; Čenys, Antanas; Anagnostopoulos, A. N. (Mathematical methods in engineering. Part 5 : Springer, 2007, 2007)
      In the present report the dynamic behaviour of the one dimensional family of maps [...] is examined, for different ranges of the control parametres a, b and c. These maps are of special interest, since they are solutions ...

    • Bifurcations of Fibonacci generating functions 

      Özer, Mehmet; Čenys, Antanas; Polatoglu, Yasar; Hacibekiroglou, Gürsel; Akat, Ercument; Valaristos, Antonios; Anagnostopoulos, A. N. (Chaos, solitons & fractals, 2007)
      In this work the dynamic behaviour of the one-dimensional family of maps Fp,q(x) = 1/(1 − px − qx2) is examined, for specific values of the control parameters p and q. Lyapunov exponents and bifurcation diagrams are ...

    • Dynamics on relaxed newton's method derivative 

      Özer, Mehmet; Hacibekiroglou, Gürsel; Valaristos, Antonios; Miliou, Amalia N.; Polatoglu, Yasar; Anagnostopoulos, Antonios N.; Čenys, Antanas (Journal of Istanbul Kültür University, 2006)
      In the present report the dynamic behaviour of the one dimensional family of maps f(x) = b(x + a)~ is examined, for representative values of the control parametres d, b and A . These maps arc of special interest, since ...

    • The relaxed Newton method derivative: Its dynamics and non-linear properties 

      Özer, Mehmet; Polatoglu, Yasar; Hacibekiroglou, Gürsel; Valaristos, Antonios; Miliou, Amalia N.; Anagnostopoulos, A. N.; Čenys, Antanas (Nonlinear analysis: modelling and control, 2008)
      The dynamic behaviour of the one-dimensional family of maps f(x)=c2[(a−1)x+c1]−λ/(α−1) is examined, for representative values of the control parameters a,c1, c2 and λ. The maps under consideration are of special interest, ...