Symbolic dynamics: taking another look at complex quadratic maps

27 February 2013
Andy Barwell
<p><span>Complex dynamical systems have been very well studied in recent years, in particular since computer graphics now enable us to peer deep into structures such as the Mandlebrot set and Julia sets, which beautifully illustrate the intricate dynamical behaviour of these systems. Using new techniques from Symbolic Dynamics, we demonstrate previously unknown properties of a class of quadratic maps on their Julia sets.</span></p>
  • Analytic Topology in Mathematics and Computer Science