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    • Schwarzian Derivative Revisited 

      Polatoğlu, Yaşar; Çağlar, Mert; Demirer, R. Murat (İstanbul Kültür Üniversitesi Yayınları, 2006-12)
      The Boolean-algebraic structure of the so-called Schwarzian derivative is investigated. A sufficient condition for a function of several variables to behave chaotically, which concerns its associated Schwarzian derivative, ...
    • 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 ...