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Characteristic features of vector chaos


Delbourgo, R and Zhang, R, Characteristic features of vector chaos, Australian Journal of Physics, 42, (2) pp. 113-128. ISSN 0004-9506 (1989) [Refereed Article]

DOI: doi:10.1071/PH890113


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.

Item Details

Item Type:Refereed Article
Research Division:Physical Sciences
Research Group:Particle and high energy physics
Research Field:Particle physics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the physical sciences
UTAS Author:Delbourgo, R (Professor Robert Delbourgo)
UTAS Author:Zhang, R (Dr Rubin Zhang)
ID Code:90704
Year Published:1989
Deposited By:Mathematics and Physics
Deposited On:2014-04-16
Last Modified:2014-04-16

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