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Characteristic features of vector chaos

journal contribution
posted on 2023-05-17, 23:52 authored by Robert DelbourgoRobert Delbourgo, Zhang, R
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.

History

Publication title

Australian Journal of Physics

Volume

42

Pagination

113-128

ISSN

0004-9506

Department/School

School of Natural Sciences

Publisher

CSIRO

Place of publication

Australia

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the physical sciences

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