Complex Iterative Maps

  • Stephen LynchEmail author


To introduce simple complex iterative maps.


  1. [1]
    R.L. Devaney and L. Keen (eds.), Complex Dynamics: Twenty-five Years After the Appearance of the Mandelbrot Set (Contemporary Mathematics), American Mathematical Society, Providence, RI, 2005.Google Scholar
  2. [2]
    R.L. Devaney Complex Dynamical Systems: The Mathematics Behind the Mandelbrot and Julia Sets (Proceedings of Symposia in Applied Mathematics), American Mathematical Society, 1995.Google Scholar
  3. [3]
    P.W. Jones, B. Mandelbrot, C.J.G. Evertsz and M.C. Gutzwiller, Fractals and Chaos: The Mandelbrot Set and Beyond, Springer, 2004.Google Scholar
  4. [4]
    A. Katunin, A Concise Introduction to Hypercomplex Fractals, CRC Press, Florida, 2017.Google Scholar
  5. [5]
    A. Kharab and R.B. Guenther, An Introduction to Numerical Methods: A MATLAB Approach, 3rd Ed., CRC Press, Florida, 2011.Google Scholar
  6. [6]
    B.B. Mandelbrot and R.L. Hudson, The (Mis)Behavior of the Markets: A Fractal View of Risk, Ruin and Reward, Perseus Books Group, New York, 2006.Google Scholar
  7. [7]
    H-O. Peitgen (ed.), E.M. Maletsky, H. Jürgens, T. Perciante, D. Saupe, and L. Yunker, Fractals for the Classroom: Strategic Activities Volume 2, Springer-Verlag, New York, 1994.Google Scholar
  8. [8]
    H-O. Peitgen, H. Jürgens, D. Saupe, and C. Zahlten, Fractals: An Animated Discussion, SpektrumAkademischer Verlag, Heidelberg, 1989; W.H. Freeman, New York, 1990.Google Scholar
  9. [9]
    T. Rashid, Make Your Own Mandelbrot: A gentle journey through the mathematics of the of the Mandelbrot and Julia fractals, and making your own using the Python computer language, CreateSpace Independent Publishing Platform, 2014.Google Scholar
  10. [10]
    Root-Finding Fractals, Softology’s Blog, (Jan 20, 2011), web pages last accessed 16th May 2016.

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.School of Computing, Mathematics and Digital TechnologyManchester Metropolitan UniversityManchesterUK

Personalised recommendations