Mandelbrot, B. (2004) Fractals and Chaos: The Mandelbrot Set and Beyond. Springer, New York. http://dx.doi.org/10.1007/978-1-4757-4017-2

has been cited by the following article:

• TITLE: A Note on Discontinuous Functions with Continuous Second Iterate

  AUTHORS: Pingping Zhang, Xiaobing Gong

  KEYWORDS: Iteration, Discontinuous Point, Continuous Function

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.3 No.6, June 30, 2015

  ABSTRACT: This paper investigates four classes of functions with a single discontinuous point. We give the sufficient and necessary conditions under which the second order iterates are continuous functions. Furthermore, the sufficient conditions for the continuity of the even order iterates with finitely many discontinuous points are obtained.