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Title

Symmetric Chaos in the Complex Plane
Author

William T. Shaw
Organization: King's College, University of London
Department: Department of Mathematics
URL: http://www.mth.kcl.ac.uk/staff/w_shaw.html
Journal / Anthology

The Mathematica Journal
Year: 1995
Volume: 5
Issue: 3
Page range: 85-89
Description

Nonlinear mappings of the complex plane that possess dihedral or cyclical symmetry are a natural symmetrical generalization of the logistic map. We explore the properties of such mappings and visualize the resulting symmetric attractors. Our Mathematica algorithms are a useful prototype for C code that can be added in with MathLink.
Subjects

*Applied Mathematics > Complex Systems
*Mathematics > Calculus and Analysis > Complex Analysis
*Mathematics > Discrete Mathematics > Cellular Automata
URL

http://www.mathematica-journal.com/issue/v5i3/