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Characteristic features of vector chaos
journal contribution
posted on 2023-05-17, 23:52 authored by Robert DelbourgoRobert Delbourgo, Zhang, RQuadratic 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 PhysicsVolume
42Pagination
113-128ISSN
0004-9506Department/School
School of Natural SciencesPublisher
CSIROPlace of publication
AustraliaRepository Status
- Restricted