Now showing items 1-3 of 3

    • Some Results on Dynamics of Newton Differential Equation 

      Özer, Mehmet; Polatoğlu, Yaşar; Hacibekiroğlu, Gürsel; Valaristos, Antonis; Anagnostopoulos, Antonis N. (2005)
      In this paper the case where the Newton differential equation defined by the Newton-Raphson iteration method equals a constant (namely 2) is investigated. The dynamics of these functions are examined by showing that the ...
    • The Higher Order Schwarzian Derivative: Its Applications For Chaotic Behavior And New İnvariant Sufficient Condition Of Chaos 

      Hacibekiroğlu, Gürsel; Çağlar, Mert; Polatoğlu, Yaşar (Pergamon-Elsevier Science Ltd, The Boulevard, Langford Lane, Kidlington, Oxford Ox5 1Gb, England, 2009-06)
      The Schwarzian derivative of a function f (x) which is defined in the interval (a, b) having higher order derivatives is given by S(f(x)) = (f"(x)/f'(x))' - 1/2 (f"(x)/f'(x))(2). A sufficient condition for a function ...
    • The relaxed Newton method derivative: Its dynamics and non-linear properties 

      Özer, Mehmet; Polatoğlu, Yaşar; Valaristos, Antonios; Miliou, Amalia N.; Anagnostopoulos, Antonios N.; Cenys, Antanas; Hacibekiroğlu, Gürsel (PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND, 2008-04-01)
      The dynamic behaviour of the one-dimensional family of maps f(x) = c(2)[(a - 1)x + c(1)](-lambda/(alpha-1)) is examined, for representative values of the control parameters a, c(1), c(2) and lambda. The maps under consideration ...