
%0 Journal Article
%A Delbourgo, R 
%A Zhang, RB 
%T Characteristic Features of Vector Chaos
%J Australian Journal of Physics
%D 1989/04/01
%V 42
%N 2
%P 113-128
%K 
%R https://doi.org/10.1071/PH890113
%U https://www.publish.csiro.au/paper/PH890113 
%X Quadratic maps of a vector, depending on a vector parameter and any number of scalars, can be reduced to the transformation x ~ ax(l - x) + dy2 and y ~ h(c - x)y, where d = 0, 1 or -1. Such a (3-parameter) set of transformations possesses an extremely rich structure. We have determined the Julia and Mandelbrot sets of this system and have delineated the characteristic types of x-y motion as well as the transition from one regime to the next. 
