The Julia set of a mapping is the set that carries the nontrivial (chaotic) dynamics of the map. If the mapping depends on a parameter c the associated Julia set Jc may or may not behave continuously. If we consider a parabolic parameter c0, then there are discontinuities of Jc as c approaches c0. These pictures represent such discontinuities.- Eric Bedford
Julia Set
![The Julia Set](../../images/research-images/EBedford2.jpg)
![The Julia Set](../../images/research-images/EBedford7.jpg)
![The Julia Set](../../images/research-images/EBedford11.jpg)
![The Julia Set](../../images/research-images/EBedford12.jpg)