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Characteristic features of vector chaos
Citation
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
Abstract
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: | Atomic, Molecular, Nuclear, Particle and Plasma 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 |
| Downloads: | 0 |
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